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Wanderings on a Six-Sided Die
Here’s a little doodle on a grid based on a standard six-sided die: I started by deciding that the pip positions should all connect North to south and East to West. It followed logically that I could...
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This is how I roll: Magic dice, part 1
A while back I supported a Kickstarter campaign for custom laser-engraved dice. I figured there had to be lots of mathy designs out there waiting to be found, and being able to make physical copies of...
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This is how I roll: Magic dice, part 2
One formulation of a magic cube simply numbers the vertices of a cube from one to eight, and requires that, for each face, the set of vertices that frame it have the same sum. There are three distinct...
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This is how I roll: Sicherman dice with doubles
Here are a few mostly functionally equivalent things: The first is a pair of perfectly normal dice. The second is a “Merged d6”, a 36-sided die I bought through a crowdfunding campaign. Each of the...
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This is How I Roll: Non-transitive Pips
A set of three non-transitive dice has the property that if you roll two of them and compare numbers, the first tends to beat the second, the second beats the third, and the third beats the first. I...
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Shaker Dice and Edge Labelings
Last year I saw an interesting Kickstarter campaign for “shaker dice”. The product was shaped like a credit card, with a number of reservoirs with tiny balls. Instead of tossing, you would shake the...
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Monomatch Dice
A game called “Spot It!” has received a lot of attention from recreational mathematicians in recent years. There’s a good video by Matt Parker, and a blog post about it by one of my five readers. (Hi...
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Overlay Dice
After the Monomatch dice, I was on the hunt for more ways to make a pair of dice that produce the same distribution as taking the sum of two standard dice. I considered using bitwise binary...
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