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If a die is unintentionally oblate (slightly flattened on opposing sides), the flatter regions are more likely to turn up when the die is tossed. If these two opposite numbers were 19 and 20 for example, then the die would on average roll high, since these two numbers would come up too often. Having the two numbers add to 21 avoids any such bias in the average number rolled. For this reason, the opposite-side numbering convention improves fairness. Equally important in our opinion is balancing of the vertex sums. \u003cbr\u003e\u003cbr\u003eIn the standard d20 numbering, small and large numbers are distributed more-or-less evenly over the die, with the following vertex sums: 39, 47, 49, 51, 52, 52, 53, 53, 54, 56, 58, and 66. Using computer search techniques, we've managed to find a numbering with ideally-balanced vertex sums while retaining the opposite-side numbering convention: 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, and 53. In analogy to Magic Squares, in which each row, column, and diagonal sum to the same number, we call such a numbering of a die a \"magic\" numbering. 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In analogy to Magic Squares, in which each row, column, and diagonal sum to the same number, we call such a numbering of a die a \"magic\" numbering. The d20 is the only one of the standard polyhedral dice (d4, d6, d8, d10, d12, and d20) that allows a magic numbering. \u003cbr\u003e\u003cbr\u003e","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823012954438,"sku":"11053","price":2.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_black_numerically_balanced_d20_dice_c23db0cb-768a-4e0f-8eb7-41909d8c9d70.png?v=1774289925"},{"product_id":"tessellations-opaque-blue-numerically-balanced-d20-dice","title":"The Dice Lab Opaque Blue Numerically Balanced D20 Dice","description":"This is a numerically balanced 16mm 20 sided D20 Dice.\u003cbr\u003e\u003cbr\u003eDice are traditionally numbered such that the largest number is located opposite the smallest, next largest opposite next smallest, etc. For a d20, 20 is opposite 1, 19 opposite 2, 18 opposite 3, etc. The average value per face is half of 21, 10.5. If a die is unintentionally oblate (slightly flattened on opposing sides), the flatter regions are more likely to turn up when the die is tossed. If these two opposite numbers were 19 and 20 for example, then the die would on average roll high, since these two numbers would come up too often. Having the two numbers add to 21 avoids any such bias in the average number rolled. For this reason, the opposite-side numbering convention improves fairness. Equally important in our opinion is balancing of the vertex sums. \u003cbr\u003e\u003cbr\u003eIn the standard d20 numbering, small and large numbers are distributed more-or-less evenly over the die, with the following vertex sums: 39, 47, 49, 51, 52, 52, 53, 53, 54, 56, 58, and 66. Using computer search techniques, we've managed to find a numbering with ideally-balanced vertex sums while retaining the opposite-side numbering convention: 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, and 53. In analogy to Magic Squares, in which each row, column, and diagonal sum to the same number, we call such a numbering of a die a \"magic\" numbering. The d20 is the only one of the standard polyhedral dice (d4, d6, d8, d10, d12, and d20) that allows a magic numbering. \u003cbr\u003e\u003cbr\u003e","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823013052742,"sku":"11054","price":2.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_blue_numerically_balanced_d20_dice_2162e35e-f625-4b77-871d-609c8b76a15e.png?v=1774289926"},{"product_id":"tessellations-opaque-red-numerically-balanced-d20-dice","title":"The Dice Lab Opaque Red Numerically Balanced D20 Dice","description":"This is a numerically balanced 16mm 20 sided D20 Dice.\u003cbr\u003e\u003cbr\u003eDice are traditionally numbered such that the largest number is located opposite the smallest, next largest opposite next smallest, etc. For a d20, 20 is opposite 1, 19 opposite 2, 18 opposite 3, etc. The average value per face is half of 21, 10.5. If a die is unintentionally oblate (slightly flattened on opposing sides), the flatter regions are more likely to turn up when the die is tossed. If these two opposite numbers were 19 and 20 for example, then the die would on average roll high, since these two numbers would come up too often. Having the two numbers add to 21 avoids any such bias in the average number rolled. For this reason, the opposite-side numbering convention improves fairness. Equally important in our opinion is balancing of the vertex sums. \u003cbr\u003e\u003cbr\u003eIn the standard d20 numbering, small and large numbers are distributed more-or-less evenly over the die, with the following vertex sums: 39, 47, 49, 51, 52, 52, 53, 53, 54, 56, 58, and 66. Using computer search techniques, we've managed to find a numbering with ideally-balanced vertex sums while retaining the opposite-side numbering convention: 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, and 53. In analogy to Magic Squares, in which each row, column, and diagonal sum to the same number, we call such a numbering of a die a \"magic\" numbering. The d20 is the only one of the standard polyhedral dice (d4, d6, d8, d10, d12, and d20) that allows a magic numbering. \u003cbr\u003e\u003cbr\u003e","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823013085510,"sku":"11055","price":2.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_red_numerically_balanced_d20_dice_c560f226-da70-499b-b41f-e9d9f708c679.png?v=1774289927"},{"product_id":"tessellations-opaque-green-numerically-balanced-d20-dice","title":"The Dice Lab Opaque Green Numerically Balanced D20 Dice","description":"This is a numerically balanced 16mm 20 sided D20 Dice.\u003cbr\u003e\u003cbr\u003eDice are traditionally numbered such that the largest number is located opposite the smallest, next largest opposite next smallest, etc. For a d20, 20 is opposite 1, 19 opposite 2, 18 opposite 3, etc. The average value per face is half of 21, 10.5. If a die is unintentionally oblate (slightly flattened on opposing sides), the flatter regions are more likely to turn up when the die is tossed. If these two opposite numbers were 19 and 20 for example, then the die would on average roll high, since these two numbers would come up too often. Having the two numbers add to 21 avoids any such bias in the average number rolled. For this reason, the opposite-side numbering convention improves fairness. Equally important in our opinion is balancing of the vertex sums. \u003cbr\u003e\u003cbr\u003eIn the standard d20 numbering, small and large numbers are distributed more-or-less evenly over the die, with the following vertex sums: 39, 47, 49, 51, 52, 52, 53, 53, 54, 56, 58, and 66. Using computer search techniques, we've managed to find a numbering with ideally-balanced vertex sums while retaining the opposite-side numbering convention: 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, and 53. In analogy to Magic Squares, in which each row, column, and diagonal sum to the same number, we call such a numbering of a die a \"magic\" numbering. The d20 is the only one of the standard polyhedral dice (d4, d6, d8, d10, d12, and d20) that allows a magic numbering. \u003cbr\u003e\u003cbr\u003e","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823013118278,"sku":"11056","price":2.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_green_numerically_balanced_d20_dice_21de3751-255a-4a54-8663-65930367944f.png?v=1774289929"},{"product_id":"tessellations-opaque-white-d120-dice","title":"The Dice Lab Opaque White D120 Dice","description":"This is a 120 sided D120 Dice\u003cbr\u003e\u003cbr\u003eMeasuring 48mm flat to flat this is a huge dice.\u003cbr\u003e\u003cbr\u003eThe ultimate fair dice allowed by Mother Nature (i.e., mathematics)! The d120 is based on a polyhedron known as the disdyakis triacontahedron. Each face is an elongated triangle. These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823013151046,"sku":"11057","price":18.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_white_d120_dice_a691071a-aeb2-47d0-8c8f-93367bbc11b9.jpg?v=1774289929"},{"product_id":"tessellations-opaque-black-d120-dice","title":"The Dice Lab Opaque Black D120 Dice","description":"This is a 120 sided D120 Dice\u003cbr\u003e\u003cbr\u003eMeasuring 48mm flat to flat this is a huge dice.\u003cbr\u003e\u003cbr\u003eThe ultimate fair dice allowed by Mother Nature (i.e., mathematics)! The d120 is based on a polyhedron known as the disdyakis triacontahedron. Each face is an elongated triangle. These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823013249350,"sku":"11058","price":18.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_black_d120_dice_7ff69c8f-bd0a-43f3-8c86-abd4c34b7637.jpg?v=1774289930"},{"product_id":"tessellations-opaque-red-d120-dice","title":"The Dice Lab Opaque Red D120 Dice","description":"This is a 120 sided D120 Dice\u003cbr\u003e\u003cbr\u003eMeasuring 48mm flat to flat this is a huge dice.\u003cbr\u003e\u003cbr\u003eThe ultimate fair dice allowed by Mother Nature (i.e., mathematics)! The d120 is based on a polyhedron known as the disdyakis triacontahedron. Each face is an elongated triangle. These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823013347654,"sku":"11060","price":18.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_red_d120_dice_43a0543d-505d-4bfe-8be2-b80def34e0f1.jpg?v=1774289932"},{"product_id":"tessellations-opaque-green-d120-dice","title":"The Dice Lab Opaque Green D120 Dice","description":"This is a 120 sided D120 Dice\u003cbr\u003e\u003cbr\u003eMeasuring 48mm flat to flat this is a huge dice.\u003cbr\u003e\u003cbr\u003eThe ultimate fair dice allowed by Mother Nature (i.e., mathematics)! The d120 is based on a polyhedron known as the disdyakis triacontahedron. Each face is an elongated triangle. These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823013478726,"sku":"11061","price":18.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_green_d120_dice_2328e0ff-a791-4768-875d-ef011b6ddd67.jpg?v=1774289932"},{"product_id":"tessellations-dice-lab-opaque-green-white-d3-dice","title":"The Dice Lab Opaque Green \u0026 White D3 Dice","description":"This is a D3 dice 18mm high and 25mm long.\u003cbr\u003e\u003cbr\u003eThis die can't land on the specially-angled end faces due to the location of its center of gravity and the number is always the one facing upwards.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823017115974,"sku":"11283","price":2.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_green_white_d3_dice_a2c5fe08-2e0c-449a-bcf9-137091dc669b.png?v=1774289967"},{"product_id":"tessellations-dice-lab-opaque-red-white-d3-dice","title":"The Dice Lab Opaque Red \u0026 White D3 Dice","description":"This is a D3 dice 18mm high and 25mm long.\u003cbr\u003e\u003cbr\u003eThis die can't land on the specially-angled end faces due to the location of its center of gravity and the number is always the one facing upwards.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823017181510,"sku":"11284","price":2.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_red_white_d3_dice_6047e5b2-595f-4b9e-9969-75581576f247.png?v=1774289966"},{"product_id":"tessellations-dice-lab-opaque-white-black-d3-dice","title":"The Dice Lab Opaque White \u0026amp; Black D3 Dice","description":"This is a D3 dice 18mm high and 25mm long.\u003cbr\u003e\u003cbr\u003eThis die can't land on the specially-angled end faces due to the location of its center of gravity and the number is always the one facing upwards.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823017214278,"sku":"11285","price":2.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_white_black_d3_dice_5a3d7e62-6c24-4253-a2fd-b0e95c5eee94.png?v=1774289968"},{"product_id":"tessellations-opaque-black-white-d48-dice","title":"The Dice Lab Opaque Black D48 Dice","description":"This is a 30mm 48 sided D48 Dice\u003cbr\u003e\u003cbr\u003eThe d48 is based on a polyhedron known as the disdyakis dodecahedron. Each face is an elongated triangle in this 1.2\" diameter die (31 mm face to face) . These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823117484358,"sku":"11917","price":4.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_black_white_d48_dice_3ba8f4ed-32fb-42cd-8582-e7bc29dd2f07.png?v=1774290260"},{"product_id":"tessellations-opaque-blue-white-d48-dice","title":"The Dice Lab Opaque Blue \u0026 White D48 Dice","description":"This is a 30mm 48 sided D48 Dice\u003cbr\u003e\u003cbr\u003eThe d48 is based on a polyhedron known as the disdyakis dodecahedron. Each face is an elongated triangle in this 1.2\" diameter die (31 mm face to face) . These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823117615430,"sku":"11918","price":4.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_blue_white_d48_dice_31feb5b8-7668-4a0a-a1a6-c3374e033028.png?v=1774290262"},{"product_id":"tessellations-opaque-green-white-d48-dice","title":"The Dice Lab Opaque Green \u0026 White D48 Dice","description":"This is a 30mm 48 sided D48 Dice\u003cbr\u003e\u003cbr\u003eThe d48 is based on a polyhedron known as the disdyakis dodecahedron. Each face is an elongated triangle in this 1.2\" diameter die (31 mm face to face) . These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823117648198,"sku":"11919","price":4.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_green_white_d48_dice_2157b92c-cc43-45cb-ada7-00b799e9a265.png?v=1774290263"},{"product_id":"tessellations-opaque-red-white-d48-dice","title":"The Dice Lab Opaque Red \u0026 White D48 Dice","description":"This is a 30mm 48 sided D48 Dice\u003cbr\u003e\u003cbr\u003eThe d48 is based on a polyhedron known as the disdyakis dodecahedron. Each face is an elongated triangle in this 1.2\" diameter die (31 mm face to face) . These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823117746502,"sku":"11920","price":4.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_red_white_d48_dice_03569f6d-9760-4844-9006-404ad9ecfbf8.png?v=1774290263"},{"product_id":"tessellations-opaque-white-black-d48-dice","title":"The Dice Lab Opaque White \u0026 Black D48 Dice","description":"This is a 30mm 48 sided D48 Dice\u003cbr\u003e\u003cbr\u003eThe d48 is based on a polyhedron known as the disdyakis dodecahedron. Each face is an elongated triangle in this 1.2\" diameter die (31 mm face to face) . These dice are perfectly numerically balanced, with the same sums for numbers around vertices of the same type.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823117844806,"sku":"11921","price":4.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_white_black_d48_dice_b44e89aa-79c1-40f4-b815-9bb5f0087a1b.png?v=1774290264"},{"product_id":"tessellations-opaque-red-skew-2-x-d6-spot-dice","title":"The Dice Lab Opaque Red Skew 2 x D6 Spot Dice","description":"This is a pair of Skew Dice approximately 16mm in size.\u003cbr\u003e\u003cbr\u003eThis d6 dice in the form of an asymmetric trigonal trapezohedron. \u003cbr\u003e\u003cbr\u003eThese wacky-looking dice are actually just as fair as regular six-sided dice. Unlike other dice, Skew DiceTM aren't mirror symmetric. \u003cbr\u003e\u003cbr\u003eThis means they come in two distinct forms that are mirror images of one another. \u003cbr\u003e\u003cbr\u003eIn effect each side is the same shape an has the same surface area making it of equal probability to any dice but with a crazy shape.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823120040262,"sku":"11948","price":5.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_red_skew_2_x_d6_spot_dice_2_f8ba891c-acd6-49a5-81c5-360e9fd27cd3.jpg?v=1774290273"},{"product_id":"tessellations-opaque-black-skew-2-x-d6-spot-dice","title":"The Dice Lab Opaque Black Skew 2 x D6 Spot Dice","description":"This is a pair of Skew Dice approximately 16mm in size.\u003cbr\u003e\u003cbr\u003eThis d6 dice in the form of an asymmetric trigonal trapezohedron. \u003cbr\u003e\u003cbr\u003eThese wacky-looking dice are actually just as fair as regular six-sided dice. Unlike other dice, Skew DiceTM aren't mirror symmetric. \u003cbr\u003e\u003cbr\u003eThis means they come in two distinct forms that are mirror images of one another. \u003cbr\u003e\u003cbr\u003eIn effect each side is the same shape an has the same surface area making it of equal probability to any dice but with a crazy shape.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823120073030,"sku":"11949","price":5.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_black_skew_2_x_d6_spot_dice_2_0bc6baf6-9505-442e-9741-eb254a8194a8.jpg?v=1774290273"},{"product_id":"tessellations-opaque-blue-jumbo-27mm-numerically-balanced-d30-dice","title":"The Dice Lab Opaque Blue JUMBO 27mm Numerically Balanced D30 Dice","description":"This is a numerically balanced 27mm 30 sided D30 Dice.\u003cbr\u003e\u003cbr\u003ePhysical balancing of dice requires use of isohedral polyhedra. The polyhedra traditionally used for the  d30 are such polyhedra. Perfect physical balancing is still not possible, though, due to physical differences in numbers, small inaccuracies in molds, additional inaccuracies introduced during tumbling, and density variations due to defects like voids. In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are numerically-balanced as well. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. The effect of such defects can be minimized by arranging the numbers such that the sum of the faces meeting at each vertex is the same. \u003cbr\u003e\u003cbr\u003eA d30 has 32 vertices, of two types; 20 where three faces meet and 12 where five faces meet. 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We found a dozen ideal numberings based on these criteria.\u003cbr\u003e\u003cbr\u003eThe numberings of The Dice Lab's d30 were worked out by Bob Bosch, a Professor of Mathematics at Oberlin College. \u003cbr\u003e\u003cbr\u003e\u003cbr\u003e","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823278440774,"sku":"13779","price":3.75,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_blue_jumbo_27mm_numerically_balanced_d30_dice.jpg?v=1774293338"},{"product_id":"tessellations-opaque-green-jumbo-27mm-numerically-balanced-d30-dice","title":"The Dice Lab Opaque Green JUMBO 27mm Numerically Balanced D30 Dice","description":"This is a numerically balanced 27mm 30 sided D30 Dice.\u003cbr\u003e\u003cbr\u003ePhysical balancing of dice requires use of isohedral polyhedra. The polyhedra traditionally used for the  d30 are such polyhedra. 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In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are as numerically balanced as possible. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. The effect of such defects can be minimized by arranging the numbers such that the sum of the faces meeting at each vertex is as nearly the same as possible.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823279161670,"sku":"13786","price":2.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_red_optidice_18mm_d10_dice.jpg?v=1774293343"},{"product_id":"tessellations-opaque-white-optidice-18mm-d10-dice","title":"The Dice Lab Opaque White OptiDice 18mm D10 Dice","description":"This is a  10 sided D10 Dice.\u003cbr\u003e\u003cbr\u003eBalanced distribution of numbers. To roll fair, dice should be physically balanced, but in practice this is never the case due to small inaccuracies in molds, nonuniform changes introduced during tumbling, and density variations due to defects like voids. In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are as numerically balanced as possible. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. The effect of such defects can be minimized by arranging the numbers such that the sum of the faces meeting at each vertex is as nearly the same as possible.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823279227206,"sku":"13787","price":2.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_white_optidice_18mm_d10_dice.jpg?v=1774293344"},{"product_id":"tessellations-opaque-black-optidice-18mm-percentile-dice","title":"The Dice Lab Opaque Black OptiDice 18mm Percentile Dice","description":"This is a  10 sided Percentile Dice.\u003cbr\u003e\u003cbr\u003eBalanced distribution of numbers. To roll fair, dice should be physically balanced, but in practice this is never the case due to small inaccuracies in molds, nonuniform changes introduced during tumbling, and density variations due to defects like voids. In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are as numerically balanced as possible. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. The effect of such defects can be minimized by arranging the numbers such that the sum of the faces meeting at each vertex is as nearly the same as possible.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823279292742,"sku":"13788","price":2.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_black_optidice_18mm_percentile_dice.jpg?v=1774293345"},{"product_id":"tessellations-opaque-blue-optidice-18mm-percentile-dice","title":"The Dice Lab Opaque Blue OptiDice 18mm Percentile Dice","description":"This is a  10 sided Percentile Dice.\u003cbr\u003e\u003cbr\u003eBalanced distribution of numbers. To roll fair, dice should be physically balanced, but in practice this is never the case due to small inaccuracies in molds, nonuniform changes introduced during tumbling, and density variations due to defects like voids. In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are as numerically balanced as possible. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. The effect of such defects can be minimized by arranging the numbers such that the sum of the faces meeting at each vertex is as nearly the same as possible.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823279325510,"sku":"13789","price":2.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_blue_optidice_18mm_percentile_dice.jpg?v=1774293345"},{"product_id":"tessellations-opaque-green-optidice-18mm-percentile-dice","title":"The Dice Lab Opaque Green OptiDice 18mm Percentile Dice","description":"This is a  10 sided Percentile Dice.\u003cbr\u003e\u003cbr\u003eBalanced distribution of numbers. To roll fair, dice should be physically balanced, but in practice this is never the case due to small inaccuracies in molds, nonuniform changes introduced during tumbling, and density variations due to defects like voids. In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are as numerically balanced as possible. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. The effect of such defects can be minimized by arranging the numbers such that the sum of the faces meeting at each vertex is as nearly the same as possible.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823279358278,"sku":"13790","price":2.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_green_optidice_18mm_percentile_dice.jpg?v=1774293346"},{"product_id":"tessellations-opaque-red-optidice-18mm-percentile-dice","title":"The Dice Lab Opaque Red OptiDice 18mm Percentile Dice","description":"This is a  10 sided Percentile Dice.\u003cbr\u003e\u003cbr\u003eBalanced distribution of numbers. To roll fair, dice should be physically balanced, but in practice this is never the case due to small inaccuracies in molds, nonuniform changes introduced during tumbling, and density variations due to defects like voids. In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are as numerically balanced as possible. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. The effect of such defects can be minimized by arranging the numbers such that the sum of the faces meeting at each vertex is as nearly the same as possible.","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823279391046,"sku":"13791","price":2.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_red_optidice_18mm_percentile_dice.jpg?v=1774293347"},{"product_id":"tessellations-opaque-white-optidice-18mm-percentile-dice","title":"The Dice Lab Opaque White OptiDice 18mm Percentile Dice","description":"This is a  10 sided Percentile Dice.\u003cbr\u003e\u003cbr\u003eBalanced distribution of numbers. To roll fair, dice should be physically balanced, but in practice this is never the case due to small inaccuracies in molds, nonuniform changes introduced during tumbling, and density variations due to defects like voids. In addition, it's possible to affect the roll of dice to a degree by carefully controlling the manner in which they're tossed. For these reasons, dice are more fair if they are as numerically balanced as possible. For example, a void inside a die near a vertex (a point where three or more faces come together) will cause that vertex to preferentially face up when the die is tossed. 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Unlike other dice, Skew DiceTM aren't mirror symmetric. \u003cbr\u003e\u003cbr\u003eThis means they come in two distinct forms that are mirror images of one another. \u003cbr\u003e\u003cbr\u003eIn effect each side is the same shape an has the same surface area making it of equal probability to any dice but with a crazy shape.\u003cbr\u003e","brand":"The Dice Lab","offers":[{"title":"Default Title","offer_id":55823300264262,"sku":"14114","price":5.5,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/files\/the_dice_lab_opaque_green_skew_2_x_d6_spot_dice_2.jpg?v=1774293561"}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0957\/4668\/7302\/collections\/The_Dice_Lab_1.jpg?v=1771262550","url":"https:\/\/www.thediceshoponline.com\/collections\/the-dice-lab-unusual-dice.oembed","provider":"The Dice Shop Online","version":"1.0","type":"link"}