{"title":"Home Page 3","description":"","products":[{"product_id":"d60","title":"d60","description":"\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan style=\"color: #006666;\"\u003e\u003cstrong data-mce-fragment=\"1\"\u003eFree shipping within the US!\u003c\/strong\u003e \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eA 60-sided die, precision milled from solid aircraft grade aluminum, hard anodized and laser marked. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003e\u003cstrong\u003eIncludes premium zippered case\u003c\/strong\u003e. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003eApproximately 1.5\" (37mm) in diameter and weighing in at 0.17 lbs (77 grams).\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eUse it with our d60 resources to speed up damage rolls, find awesome loot, work through puzzles, and play with cool new homebrew items and creatures. Perfect for creative DMs!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eAll of our orders are covered by our 100% satisfaction guarantee. If you aren't happy with your purchase you can return it for a full refund. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003ePatents Pending\u003c\/span\u003e\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Default Title","offer_id":29194828283938,"sku":"60_d60","price":56.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/products\/flying_horseduck_d60.png?v=1576260661"},{"product_id":"d60-spindown","title":"d60 Spindown","description":"\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan style=\"color: #006666;\"\u003e\u003cstrong data-mce-fragment=\"1\"\u003eFree shipping within the US!\u003c\/strong\u003e \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eA 60-sided die, precision milled from solid aircraft grade aluminum, hard anodized and laser marked. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003e\u003cstrong\u003eIncludes premium zippered case\u003c\/strong\u003e. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003eApproximately 1.5\" (37mm) in diameter and weighing in at 0.17 lbs (77 grams).\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eA life counter that goes up to 60! Perfect for EDH or lifelink decks in MTG. You can also track character health in TTRPGs or keep score in your favorite game. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eAll of our orders are covered by our 100% satisfaction guarantee. If you aren't happy with your purchase you can return it for a full refund. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003ePatents Pending\u003c\/span\u003e\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Default Title","offer_id":29194829299746,"sku":"d60_spindown","price":56.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/products\/flying_horseduck_d60_spindown.png?v=1576260678"},{"product_id":"complete-resin-hex-d4-collection","title":"Complete Resin Hex d4 Collection","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eOne Hex d4 of each resin color! This is a collection of 9 d4 that comes in an elegant case. It's the best way to get one of my new d4 in every color. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eI\u003c\/span\u003e\u003cspan\u003ef you are a completionist and also want one each of the stone d4s you can get the Three d4 Stone Trio separately to complete the collection.\u003c\/span\u003e\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Default Title","offer_id":41837904756802,"sku":"","price":75.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/AL_9xd4.jpg?v=1740688880"},{"product_id":"three-d6","title":"Sharp Edge Resin - Three d6","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eThree d6s in a color of your choice, nestled in an elegant case! \u003c\/span\u003e\u003cspan\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eAlso available in \u003ca href=\"https:\/\/honestdice.com\/products\/aluminum-three-d6\"\u003ealuminum\u003c\/a\u003e and \u003ca href=\"https:\/\/honestdice.com\/products\/titanium-three-d6\"\u003etitanium\u003c\/a\u003e!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThese dice feature the mathematically balanced numbering layouts I designed to avoid concentrations of high or low numbers.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe high contrast numbers are easy to read even in low light conditions, and my trademark hexagons on the high face add excitement to your best rolls!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThese dice are poured by hand, so every one has a unique pattern of the different resin colors. They are also 67% larger by volume than the typical 16mm d6s that come in most TTRPG dice sets. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children.\u003c\/strong\u003e Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Ashen Wasteland (black\/gray)","offer_id":43893357903938,"sku":"3xd6_AW","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Polar Night (blue\/black)","offer_id":43893358395458,"sku":"3xd6_PN","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dragon Fire (orange)","offer_id":43893358428226,"sku":"3xd6_DF","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Fey Mist (clear\/pink)","offer_id":43893358657602,"sku":"3xd6_FM","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Scrollmaster's Ink (clear\/blue)","offer_id":43893358690370,"sku":"3xd6_SI","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Portal Threshold (fuchsia\/black)","offer_id":43893358952514,"sku":"3xd6_PT","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Wyvern Venom (green\/yellow)","offer_id":43893359018050,"sku":"3xd6_WV","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Forge Glow (Red)","offer_id":41837916913730,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Cosmic Aurora (Teal)","offer_id":41837916946498,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Ancient Glacier (Icy Blue)","offer_id":41837916979266,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dawn Waterfall (Rose)","offer_id":41837917012034,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Goblin Treasure (Green)","offer_id":41837917044802,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Cerulean Cove (Blue)","offer_id":41837917077570,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Shadow Dimension (Black)","offer_id":41837917110338,"sku":"04006009","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Alpine Lavender (Magenta)","offer_id":41837917143106,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dark Sorcery (Multicolor Shimmer)","offer_id":41988178837570,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/Portal_Threshold_no_text.jpg?v=1782935955"},{"product_id":"three-d4","title":"Sharp Edge Resin - Three d4","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eThree of my new Hex d4s in a color of your choice, nestled in an elegant case! \u003c\/span\u003e\u003cspan\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eAlso available in \u003ca href=\"https:\/\/honestdice.com\/products\/aluminum-three-d4\"\u003ealuminum\u003c\/a\u003e and \u003ca href=\"https:\/\/honestdice.com\/products\/titanium-three-d4\"\u003etitanium\u003c\/a\u003e!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eI was never quite happy with the available d4 options. The tetrahedral d4 doesn't roll very well and the tapered shape makes it difficult to pick up (not to mention the risk to your feet!) I never liked the look or feel of the \"shard\" or \"double wedge\". The \"crystal\" d4 worked ok, but with its rectangular and triangular faces it just wasn't very pretty.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eIn 2024, after many iterations I came up with this stunning d4 design featuring elegantly proportioned hexagonal and rhombic faces that I call the Hex d4. It tumbles better, is easier to pick up, and looks gorgeous. Now thousands of players around the world are using the Hex d4 and they tell me they love it!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe high contrast numbers are easy to read even in low light conditions, and my trademark hexagons on the high face add excitement to your best rolls!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThese dice are poured by hand. When the different resin colors are poured they combine, creating a unique pattern so no two dice are the same.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children.\u003c\/strong\u003e Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Wyvern Venom (green\/yellow)","offer_id":43893351317570,"sku":"3xd4_WV","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Ashen Wasteland (black\/gray)","offer_id":43893351612482,"sku":"3xd4_AW","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Polar Night (blue\/black)","offer_id":43893351743554,"sku":"3xd4_PN","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dragon Fire (orange)","offer_id":43893352005698,"sku":"3xd4_DF","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Scrollmaster's Ink (clear\/blue)","offer_id":43893352202306,"sku":"3xd4_SI","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Fey Mist (clear\/pink)","offer_id":43893352136770,"sku":"3xd4_FM","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Portal Threshold (fuchsia\/black)","offer_id":43893352398914,"sku":"3xd4_PT","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Forge Glow (Red)","offer_id":41837922058306,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Cosmic Aurora (Teal)","offer_id":41837922091074,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Ancient Glacier (Icy Blue)","offer_id":41837922123842,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dark Sorcery (Multicolor Shimmer)","offer_id":41837924253762,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dawn Waterfall (Rose)","offer_id":41837922156610,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Goblin Treasure (Green)","offer_id":41837922189378,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Shadow Dimension (Black)","offer_id":41837922254914,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Alpine Lavender (Magenta)","offer_id":41837922287682,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/Wyvern_Venom_no_text.jpg?v=1782935732"},{"product_id":"23mm-d20","title":"Sharp Edge Resin 23mm d20","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003e\u003cmeta charset=\"utf-8\"\u003eA single 23mm d20 of your choice in an elegant case! For a larger version, check out my \u003ca href=\"https:\/\/honestdice.com\/products\/31mm-d20\"\u003e31mm d20s\u003c\/a\u003e :D\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThis d20 features my mathematically balanced numbering layout. The numbers are spread evenly across the die, avoiding any concentrations of high or low values. This reduces the impact any physical bias will have on the average roll (since physical biases generally favor a group faces in an area of the die). Also, I tested these dice for fairness against 4 other brands of resin d20s for a total of 10,000 rolls. Results are below.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThere are 40,548,366,802,944,000 possible d20 numbering layouts to analyze. It took me hundreds of hours to write and run the programs to design the balanced numbering layouts for these dice. Part of that was because I had to teach myself to code. There wasn't any vibe coding here, just good old fashioned googling syntax combined with months of trial and error.  🤣\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ch6\u003eHere are the details for the dice nerds out there like me!\u003c\/h6\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eTo mathematically balance a die you consider groups of faces and measure the sum of their numbers. The optimal result is that all the groups have the same sum, though in most cases no such layout exists and the optimal result is the closest possible layout that does exist. I balanced my d20 using half sums and vertex sums.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eI compare my d20 layout to the standard d20 layout and also the Magic-Numbered balanced d20 layout by The Dice Lab. It is an elegant layout and I include it only to show how my approach differs from theirs, since I've been asked that question. I’m a fan of The Dice Lab and if you are interested enough to read this I bet you will love their dice too so go check them out!\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan class=\"bold\"\u003e\u003cstrong\u003eHalf sum\u003c\/strong\u003e:\u003c\/span\u003e\u003cspan\u003e \u003c\/span\u003eThe sum of the faces on one half of the die. On the d20 that is a center face, three adjacent faces that share an edge with the center face and 6 faces that share an edge with those faces. This is a total of 10 faces. There are 20 half sums on a d20. If all the half sums were the same the sum of each would be 105. After weeks of analysis I conclusively determined that a layout where all the halves sum to 105 does not exist. The optimal possible layout has 12 half sums of 105, 4 of 104 and 4 of 106.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eVertex sum\u003c\/span\u003e: \u003c\/strong\u003eThe sum of the faces that share a vertex. On a d20 there are 12 vertices and each has 5 faces that share that vertex. Thus there are 12 vertex sums on a d20. If all the vertex sums were the same the sum of each would be 52.5, which is not possible. The optimal possible layout has 6 vertex sums of 52 and 6 of 53.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eTotal Deviation:\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e \u003c\/span\u003eFor a given type of sum (such as half sum) the total deviation is the sum of the differences of each sum from the optimal sum for that type. The optimal sum for a sum group is the mean of the die multiplied by the number of faces in the group (for half sum that is 10.5 x 10 = 105). If the total deviation is zero it means that all the sums are the same and equal the optimal sum.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eBalancing the half sums was my first priority, followed by the vertex sums. I was able to achieve both the optimal possible half sum layout and a well balanced but not quite perfect vertex sum layout.\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eAs you can imagine I was extremely pleased with this result. To my knowledge this is the first half sum optimized d20 ever created and I was ecstatic to achieve a vertex sum total deviation of only 12! I also made a couple of other improvements over the standard layout.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDown with the n+1 rule!\u003c\/strong\u003e It is a convention in dice making that the opposite faces of a die sum to the number of faces on the die plus 1. For example, on d20s if you add two opposite faces they will sum to 21. 1 will be opposite 20, 10 will be opposite 11.  After a great deal of pondering I have come to the conclusion that this is a tradition we should abandon for the sake of dice fairness.  It doesn't do anything to spread the numbers in a balanced way and it actually makes the impact of any weight bias worse. For example, if there is a weight imbalance on a die, it makes some faces more likely to come up. It will equally make the opposites of those faces less likely to come up.  If the 1 is opposite the 20, a weight imbalance that favors the 1 will also disfavor the 20. You will not only roll more 1s but also you will roll fewer 20s. If instead the 1 was opposite the 2, you would roll more 1s but fewer 2s. You can see that the second option would be far less impactful to the average of a set of rolls on this hypothetical die, while the n+1 convention would actually maximize the impact of the bias on the mean. With my numbering layouts I now put similar values opposite each other.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWho put the 6 next to the 9?! \u003c\/strong\u003e On the standard d20 layout the 6 is next to the 9. Not only that, but because one is written upside down in relation to the other, they are the exact same shape with nothing to differentiate them except for a period or line. It is a minor thing I suppose but it always drove me bananas. On these d20s you can rest assured that the 6 and the 9 are never next to each other and it will be easier for you to instantly tell which one you rolled.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ch6\u003eFairness Testing\u003c\/h6\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eIt's important when testing dice to use enough rolls to ensure meaningful results. I rolled each of the five d20s 2,000 times, for a total of 10,000 d20 rolls. I tested my d20 against four other poured resin, sharp edge d20s. I chose a mix of expensive and less expensive dice to test. Interestingly, the expensive dice didn't fare particularly better than the inexpensive ones in these tests. \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eI am using a conservative 99% confidence threshold\u003c\/strong\u003e to reject the hypothesis of fairness. That means any dice that failed had rolling data so biased that there is a less than 1% chance a fair die could have produced those rolls. \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThe Honest Dice d20 performed the best\u003c\/strong\u003e with a test statistic of 15.28, well within the range of results you would expect from a fair die. I was pretty shocked to see how badly the others performed. D20 #3 was the only one that passed with a test statistic of 26.34. D20 # 1, #2, and #4 all failed with test statistics of 38.22, 71.20, and 56.20 respectively. We can reject the hypothesis that each of the other three dice are fair with the following (approximate) level of confidence: d20 #1 rejected with 99.443% confidence, d20 #2 rejected with 99.9999942% confidence, d20 #4 rejected with 99.99848% confidence.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eIf those results are representative, it would imply that an appalling percentage of poured resin d20s on the market are badly biased. Four dice is a tiny sample size, and I hope that I was just unlucky to get so many biased dice in my testing, but the only way to find out would be to test more d20s and I was exhausted after 10,000 rolls! 🤣\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children.\u003c\/strong\u003e Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Dragon Fire (orange)","offer_id":43892932149314,"sku":"d20_DF","price":28.0,"currency_code":"USD","in_stock":false},{"title":"Fey Mist (clear\/pink)","offer_id":43892943618114,"sku":"d20_FM","price":28.0,"currency_code":"USD","in_stock":false},{"title":"Scrollmaster's Ink (clear\/blue)","offer_id":43892948533314,"sku":"d20_SI","price":28.0,"currency_code":"USD","in_stock":false},{"title":"Wyvern Venom (green\/yellow)","offer_id":43892953841730,"sku":"d20_WV","price":28.0,"currency_code":"USD","in_stock":false},{"title":"Polar Night (blue\/black)","offer_id":43892954628162,"sku":"d20_PN","price":28.0,"currency_code":"USD","in_stock":false},{"title":"Portal Threshold (fuchsia\/black)","offer_id":43892950499394,"sku":"d20_PT","price":28.0,"currency_code":"USD","in_stock":false},{"title":"Ancient Glacier (Icy Blue)","offer_id":41837944668226,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false},{"title":"Forge Glow (Red)","offer_id":41837944602690,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false},{"title":"Cosmic Aurora (Teal)","offer_id":41837944635458,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false},{"title":"Dawn Waterfall (Rose)","offer_id":41837944700994,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false},{"title":"Goblin Treasure (Green)","offer_id":41837944733762,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false},{"title":"Cerulean Cove (Blue)","offer_id":41837944766530,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false},{"title":"Shadow Dimension (Black)","offer_id":41837944799298,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false},{"title":"Alpine Lavender (Magenta)","offer_id":41837944832066,"sku":null,"price":28.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/Polar_Night_no_text.jpg?v=1782936071"},{"product_id":"31mm-d20","title":"Sharp Edge Resin 31mm d20","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eThis chonky beauty is over 1.2\" from face to opposite face (over 1.5\" from vertex to vertex), which is a bit smaller than a golf ball. It is an ideal size to have a big die feel without becoming impractical.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThis product is a single 31mm d20 in the color of your choice, nestled in an elegant case. It is hand-poured resin so each one is unique.\u003c\/span\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThis d20 features my mathematically balanced numbering layout. The numbers are spread evenly across the die, avoiding any concentrations of high or low values. This reduces the impact any physical bias will have on the average roll (since physical biases generally favor a group faces in an area of the die). Also, I tested these dice for fairness against 4 other brands of resin d20s for a total of 10,000 rolls. Results are below.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThere are 40,548,366,802,944,000 possible d20 numbering layouts to analyze. It took me hundreds of hours to write and run the programs to design the balanced numbering layouts for these dice. Part of that was because I had to teach myself to code. There wasn't any vibe coding here, just good old fashioned googling syntax combined with months of trial and error.  🤣\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ch6\u003eHere are the details for the dice nerds out there like me!\u003c\/h6\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eTo mathematically balance a die you consider groups of faces and measure the sum of their numbers. The optimal result is that all the groups have the same sum, though in most cases no such layout exists and the optimal result is the closest possible layout that does exist. I balanced my d20 using half sums and vertex sums.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eI compare my d20 layout to the standard d20 layout and also the Magic-Numbered balanced d20 layout by The Dice Lab. It is an elegant layout and I include it only to show how my approach differs from theirs, since I've been asked that question. I’m a fan of The Dice Lab and if you are interested enough to read this I bet you will love their dice too so go check them out!\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan class=\"bold\"\u003e\u003cstrong\u003eHalf sum\u003c\/strong\u003e:\u003c\/span\u003e\u003cspan\u003e \u003c\/span\u003eThe sum of the faces on one half of the die. On the d20 that is a center face, three adjacent faces that share an edge with the center face and 6 faces that share an edge with those faces. This is a total of 10 faces. There are 20 half sums on a d20. If all the half sums were the same the sum of each would be 105. After weeks of analysis I conclusively determined that a layout where all the halves sum to 105 does not exist. The optimal possible layout has 12 half sums of 105, 4 of 104 and 4 of 106.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eVertex sum\u003c\/span\u003e: \u003c\/strong\u003eThe sum of the faces that share a vertex. On a d20 there are 12 vertices and each has 5 faces that share that vertex. Thus there are 12 vertex sums on a d20. If all the vertex sums were the same the sum of each would be 52.5, which is not possible. The optimal possible layout has 6 vertex sums of 52 and 6 of 53.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eTotal Deviation:\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e \u003c\/span\u003eFor a given type of sum (such as half sum) the total deviation is the sum of the differences of each sum from the optimal sum for that type. The optimal sum for a sum group is the mean of the die multiplied by the number of faces in the group (for half sum that is 10.5 x 10 = 105). If the total deviation is zero it means that all the sums are the same and equal the optimal sum.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eBalancing the half sums was my first priority, followed by the vertex sums. I was able to achieve both the optimal possible half sum layout and a well balanced but not quite perfect vertex sum layout.\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eAs you can imagine I was extremely pleased with this result. To my knowledge this is the first half sum optimized d20 ever created and I was ecstatic to achieve a vertex sum total deviation of only 12! I also made a couple of other improvements over the standard layout.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDown with the n+1 rule!\u003c\/strong\u003e It is a convention in dice making that the opposite faces of a die sum to the number of faces on the die plus 1. For example, on d20s if you add two opposite faces they will sum to 21. 1 will be opposite 20, 10 will be opposite 11.  After a great deal of pondering I have come to the conclusion that this is a tradition we should abandon for the sake of dice fairness.  It doesn't do anything to spread the numbers in a balanced way and it actually makes the impact of any weight bias worse. For example, if there is a weight imbalance on a die, it makes some faces more likely to come up. It will equally make the opposites of those faces less likely to come up.  If the 1 is opposite the 20, a weight imbalance that favors the 1 will also disfavor the 20. You will not only roll more 1s but also you will roll fewer 20s. If instead the 1 was opposite the 2, you would roll more 1s but fewer 2s. You can see that the second option would be far less impactful to the average of a set of rolls on this hypothetical die, while the n+1 convention would actually maximize the impact of the bias on the mean. With my numbering layouts I now put similar values opposite each other.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWho put the 6 next to the 9?! \u003c\/strong\u003e On the standard d20 layout the 6 is next to the 9. Not only that, but because one is written upside down in relation to the other, they are the exact same shape with nothing to differentiate them except for a period or line. It is a minor thing I suppose but it always drove me bananas. On these d20s you can rest assured that the 6 and the 9 are never next to each other and it will be easier for you to instantly tell which one you rolled.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ch6\u003eFairness Testing\u003c\/h6\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eIt's important when testing dice to use enough rolls to ensure meaningful results. I rolled each of the five d20s 2,000 times, for a total of 10,000 d20 rolls. I tested my d20 against four other poured resin, sharp edge d20s. I chose a mix of expensive and less expensive dice to test. Interestingly, the expensive dice didn't fare particularly better than the inexpensive ones in these tests. \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eI am using a conservative 99% confidence threshold\u003c\/strong\u003e to reject the hypothesis of fairness. That means any dice that failed had rolling data so biased that there is a less than 1% chance a fair die could have produced those rolls. \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThe Honest Dice d20 performed the best\u003c\/strong\u003e with a test statistic of 15.28, well within the range of results you would expect from a fair die. I was pretty shocked to see how badly the others performed. D20 #3 was the only one that passed with a test statistic of 26.34. D20 # 1, #2, and #4 all failed with test statistics of 38.22, 71.20, and 56.20 respectively. We can reject the hypothesis that each of the other three dice are fair with the following (approximate) level of confidence: d20 #1 rejected with 99.443% confidence, d20 #2 rejected with 99.9999942% confidence, d20 #4 rejected with 99.99848% confidence.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eIf those results are representative, it would imply that an appalling percentage of poured resin d20s on the market are badly biased. Four dice is a tiny sample size, and I hope that I was just unlucky to get so many biased dice in my testing, but the only way to find out would be to test more d20s and I was exhausted after 10,000 rolls! 🤣\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children.\u003c\/strong\u003e Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Scrollmaster's Ink (clear\/blue)","offer_id":43893113421890,"sku":"d20-LG_SI","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Portal Threshold (fuchsia\/black)","offer_id":43893120303170,"sku":"d20-LG_PT","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Wyvern Venom (green\/yellow)","offer_id":43893121646658,"sku":"d20-LG_WV","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Ashen Wasteland (black\/gray)","offer_id":43893126692930,"sku":"d20-LG_AW","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dragon Fire (orange)","offer_id":43893128626242,"sku":"d20-LG_DF","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Polar Night (blue\/black)","offer_id":43893153398850,"sku":"d20-LG_PN","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Fey Mist (clear\/pink)","offer_id":43893139144770,"sku":"d20-LG_FM","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Shadow Dimension (Black)","offer_id":41837949288514,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Forge Glow (Red)","offer_id":41837949091906,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Cosmic Aurora (Teal)","offer_id":41837949124674,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Ancient Glacier (Icy Blue)","offer_id":41837949157442,"sku":"04004002","price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dark Sorcery (Multicolor Shimmer)","offer_id":41837990543426,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Dawn Waterfall (Rose)","offer_id":41837949190210,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Goblin Treasure (Green)","offer_id":41837949222978,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Cerulean Cove (Blue)","offer_id":41837949255746,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false},{"title":"Alpine Lavender (Magenta)","offer_id":41837949321282,"sku":null,"price":39.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/Ashen_Wasteland_no_text.jpg?v=1782936174"},{"product_id":"custom-chonk-collection","title":"Custom Chonky d20 Collection","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eMix and match 7 chonky 31mm sharp edge resin d20s of your choice for a custom collection that comes in a durable zippered case. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003ePlease note which dice you want since you will need to list them in the \"Special instructions for seller\" field in checkout. \u003c\/span\u003e\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Default Title","offer_id":41837979467842,"sku":"","price":175.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/KS4_7xd20_in_zip_full_res.png?v=1746567740"},{"product_id":"resin-d12","title":"Sharp Edge Resin d12","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003e\u003cmeta charset=\"utf-8\"\u003eA single d12 of your choice in an elegant case! Perfect for Daggerheart players looking for hope and fear dice.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThis d12 features my mathematically balanced numbering layout. The numbers are spread evenly across the die, avoiding any concentrations of high or low values. This reduces the impact any physical bias will have on the average roll. \u003c\/span\u003e\u003cspan\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThere are millions of possible d12 numbering layouts to analyze. It took me hundreds of hours to write and run the programs necessary to design the balanced numbering layouts for these dice. Part of that time was because I had to teach myself to code first. There wasn't any vibe coding here, just good old fashioned googling syntax combined with months of trial and error.  \u003cstrong\u003e🤣\u003c\/strong\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children\u003c\/strong\u003e. Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Ashen Wasteland (black\/gray)","offer_id":43892178387010,"sku":"d12_AW","price":25.0,"currency_code":"USD","in_stock":false},{"title":"Fey Mist (clear\/pink)","offer_id":43892238778434,"sku":"d12_FM","price":25.0,"currency_code":"USD","in_stock":false},{"title":"Scrollmaster's Ink (clear\/blue)","offer_id":43892250280002,"sku":"d12_SI","price":25.0,"currency_code":"USD","in_stock":false},{"title":"Portal Threshold (fuchsia\/black)","offer_id":43892266991682,"sku":"d12_PT","price":25.0,"currency_code":"USD","in_stock":false},{"title":"Wyvern Venom (green\/yellow)","offer_id":43892268105794,"sku":"d12_WV","price":25.0,"currency_code":"USD","in_stock":false},{"title":"Polar Night (blue\/black)","offer_id":43892275478594,"sku":"d12_PN","price":25.0,"currency_code":"USD","in_stock":false},{"title":"Dragon Fire (orange)","offer_id":43892276035650,"sku":"d12_DF","price":25.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/Dragon_Fire_no_text.jpg?v=1782936284"},{"product_id":"resin-7xd20","title":"Sharp Edge Resin - Seven d20","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eSeven 23mm d20s, \u003cstrong\u003eone of each color as pictured\u003c\/strong\u003e, all nestled in an elegant case!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThese d20s feature my mathematically balanced numbering layout. The numbers are spread evenly across the die, avoiding any concentrations of high or low values. This reduces the impact any physical bias will have on the average roll (since physical biases generally favor a group faces in an area of the die). Also, I tested these dice for fairness against 4 other brands of resin d20s for a total of 10,000 rolls. Results are below.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eThere are 40,548,366,802,944,000 possible d20 numbering layouts to analyze. It took me hundreds of hours to write and run the programs to design the balanced numbering layouts for these dice. Part of that was because I had to teach myself to code. There wasn't any vibe coding here, just good old fashioned googling syntax combined with months of trial and error.  🤣\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ch6\u003eHere are the details for the dice nerds out there like me!\u003c\/h6\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eTo mathematically balance a die you consider groups of faces and measure the sum of their numbers. The optimal result is that all the groups have the same sum, though in most cases no such layout exists and the optimal result is the closest possible layout that does exist. I balanced my d20 using half sums and vertex sums.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eI compare my d20 layout to the standard d20 layout and also the Magic-Numbered balanced d20 layout by The Dice Lab. It is an elegant layout and I include it only to show how my approach differs from theirs, since I've been asked that question. I’m a fan of The Dice Lab and if you are interested enough to read this I bet you will love their dice too so go check them out!\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cspan class=\"bold\"\u003e\u003cstrong\u003eHalf sum\u003c\/strong\u003e:\u003c\/span\u003e\u003cspan\u003e \u003c\/span\u003eThe sum of the faces on one half of the die. On the d20 that is a center face, three adjacent faces that share an edge with the center face and 6 faces that share an edge with those faces. This is a total of 10 faces. There are 20 half sums on a d20. If all the half sums were the same the sum of each would be 105. After weeks of analysis I conclusively determined that a layout where all the halves sum to 105 does not exist. The optimal possible layout has 12 half sums of 105, 4 of 104 and 4 of 106.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eVertex sum\u003c\/span\u003e: \u003c\/strong\u003eThe sum of the faces that share a vertex. On a d20 there are 12 vertices and each has 5 faces that share that vertex. Thus there are 12 vertex sums on a d20. If all the vertex sums were the same the sum of each would be 52.5, which is not possible. The optimal possible layout has 6 vertex sums of 52 and 6 of 53.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eTotal Deviation:\u003c\/span\u003e\u003c\/strong\u003e\u003cspan\u003e \u003c\/span\u003eFor a given type of sum (such as half sum) the total deviation is the sum of the differences of each sum from the optimal sum for that type. The optimal sum for a sum group is the mean of the die multiplied by the number of faces in the group (for half sum that is 10.5 x 10 = 105). If the total deviation is zero it means that all the sums are the same and equal the optimal sum.\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003cstrong\u003e\u003cspan class=\"bold\"\u003eBalancing the half sums was my first priority, followed by the vertex sums. I was able to achieve both the optimal possible half sum layout and a well balanced but not quite perfect vertex sum layout.\u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eAs you can imagine I was extremely pleased with this result. To my knowledge this is the first half sum optimized d20 ever created and I was ecstatic to achieve a vertex sum total deviation of only 12! I also made a couple of other improvements over the standard layout.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDown with the n+1 rule!\u003c\/strong\u003e It is a convention in dice making that the opposite faces of a die sum to the number of faces on the die plus 1. For example, on d20s if you add two opposite faces they will sum to 21. 1 will be opposite 20, 10 will be opposite 11.  After a great deal of pondering I have come to the conclusion that this is a tradition we should abandon for the sake of dice fairness.  It doesn't do anything to spread the numbers in a balanced way and it actually makes the impact of any weight bias worse. For example, if there is a weight imbalance on a die, it makes some faces more likely to come up. It will equally make the opposites of those faces less likely to come up.  If the 1 is opposite the 20, a weight imbalance that favors the 1 will also disfavor the 20. You will not only roll more 1s but also you will roll fewer 20s. If instead the 1 was opposite the 2, you would roll more 1s but fewer 2s. You can see that the second option would be far less impactful to the average of a set of rolls on this hypothetical die, while the n+1 convention would actually maximize the impact of the bias on the mean. With my numbering layouts I now put similar values opposite each other.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWho put the 6 next to the 9?! \u003c\/strong\u003e On the standard d20 layout the 6 is next to the 9. Not only that, but because one is written upside down in relation to the other, they are the exact same shape with nothing to differentiate them except for a period or line. It is a minor thing I suppose but it always drove me bananas. On these d20s you can rest assured that the 6 and the 9 are never next to each other and it will be easier for you to instantly tell which one you rolled.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003ch6\u003eFairness Testing\u003c\/h6\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eIt's important when testing dice to use enough rolls to ensure meaningful results. I rolled each of the five d20s 2,000 times, for a total of 10,000 d20 rolls. I tested my d20 against four other poured resin, sharp edge d20s. I chose a mix of expensive and less expensive dice to test. Interestingly, the expensive dice didn't fare particularly better than the inexpensive ones in these tests. \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eI am using a conservative 99% confidence threshold\u003c\/strong\u003e to reject the hypothesis of fairness. That means any dice that failed had rolling data so biased that there is a less than 1% chance a fair die could have produced those rolls. \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThe Honest Dice d20 performed the best\u003c\/strong\u003e with a test statistic of 15.28, well within the range of results you would expect from a fair die. I was pretty shocked to see how badly the others performed. D20 #3 was the only one that passed with a test statistic of 26.34. D20 # 1, #2, and #4 all failed with test statistics of 38.22, 71.20, and 56.20 respectively. We can reject the hypothesis that each of the other three dice are fair with the following (approximate) level of confidence: d20 #1 rejected with 99.443% confidence, d20 #2 rejected with 99.9999942% confidence, d20 #4 rejected with 99.99848% confidence.\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003eIf those results are representative, it would imply that an appalling percentage of poured resin d20s on the market are badly biased. Four dice is a tiny sample size, and I hope that I was just unlucky to get so many biased dice in my testing, but the only way to find out would be to test more d20s and I was exhausted after 10,000 rolls! 🤣\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children.\u003c\/strong\u003e Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Default Title","offer_id":43896223268930,"sku":"7xd20_m6","price":99.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/7xd20_f79b61e9-d304-48cb-a849-d48f0458c657.jpg?v=1782580504"},{"product_id":"resin-7xd6","title":"Sharp Edge Resin - Seven d6","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eSeven d6s, \u003cstrong\u003eone of each color as pictured\u003c\/strong\u003e, all nestled in an elegant case!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThese dice feature the mathematically balanced numbering layouts I designed to avoid concentrations of high or low numbers.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe high contrast numbers are easy to read even in low light conditions, and my trademark hexagons on the high face add excitement to your best rolls!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThese dice are poured by hand, so every one has a unique pattern of the different resin colors. They are also 67% larger by volume than the typical 16mm d6s that come in most TTRPG dice sets. \u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children.\u003c\/strong\u003e Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Default Title","offer_id":43898232209474,"sku":"7xd6_m6","price":69.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/7xd6.jpg?v=1782666287"},{"product_id":"resin-7xd4","title":"Sharp Edge Resin - Seven d4","description":"\u003cp\u003e\u003cmeta charset=\"utf-8\"\u003e\u003cspan\u003eSeven Hex d4s, \u003cstrong\u003eone of each color as pictured\u003c\/strong\u003e, all nestled in an elegant case!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eI was never quite happy with the available d4 options. The tetrahedral d4 doesn't roll very well and the tapered shape makes it difficult to pick up (not to mention the risk to your feet!) I never liked the look or feel of the \"shard\" or \"double wedge\". The \"crystal\" d4 worked ok, but with its rectangular and triangular faces it just wasn't very pretty.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eIn 2024, after many iterations I came up with this stunning d4 design featuring elegantly proportioned hexagonal and rhombic faces that I call the Hex d4. It tumbles better, is easier to pick up, and looks gorgeous. Now thousands of players around the world are using the Hex d4 and they tell me they love it!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThe high contrast numbers are easy to read even in low light conditions, and my trademark hexagons on the high face add excitement to your best rolls!\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cspan\u003eThese dice are poured by hand. When the different resin colors are poured they combine, creating a unique pattern so no two dice are the same.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cbr\u003e\u003c\/p\u003e\n\u003cp\u003e \u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eSafety and other important notes:\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003eDice number layouts are protected intellectual property, copyright 2026, Flying Horseduck, all rights reserved. Hex d4 design covered by patent # US D1,064,085 S. The solid hexagon on the high faces, \"Hex d4\", and \"Honest Dice\" are protected trademarks of Flying Horseduck aka Honest Dice.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eThese dice contain small parts and could be a choking hazard for children.\u003c\/strong\u003e Keep away from children under age 5. These dice are intended for adult collectors, not for children.\u003c\/p\u003e","brand":"Honest Dice","offers":[{"title":"Default Title","offer_id":43898242728002,"sku":"7xd4_m6","price":69.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/2065\/3361\/files\/7xd4.jpg?v=1782667020"}],"url":"https:\/\/honestdice.com\/collections\/home-page-4.oembed","provider":"Honest Dice","version":"1.0","type":"link"}