Combinatorics | Dice

Sicherman dice

Sicherman dice /ˈsɪkərmən/ are a pair of 6-sided dice with non-standard numbers–one with the sides 1, 2, 2, 3, 3, 4 and the other with the sides 1, 3, 4, 5, 6, 8. They are notable as the only pair of 6-sided dice that are not normal dice, bear only positive integers, and have the same probability distribution for the sum as normal dice. They were invented in 1978 by George Sicherman of Buffalo, New York. (Wikipedia).

Sicherman dice
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Recast 2d6 and d3

These dice, which come as a d3/d12 pair, are a funkier alternative to Sicherman dice: they give the same result as adding two ordinary six-sided dice. The d3, which has the standard numbering for a d3, is also available by itself. http://thedicelab.com/Recast2d6d3.html

From playlist Dice

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d14

Available at http://mathartfun.com/DiceLabDice.html

From playlist Dice

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Roll a card, any card

Playing card dice, by the Dice Lab. http://mathartfun.com/thedicelab.com/RollACard.html

From playlist Dice

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Brian Hopkins - Difference Dice - G4G13 April 2018

Among the many amateur mathematicians championed by Martin Gardner, George Sicherman is now known for two 6-sided dice that are not labeled 1, 2, 3, 4, 5, 6 yet have the same frequencies of sums as a standard pair. Finding such dice for various sizes is a nice application of factoring poly

From playlist G4G13 Videos

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Alexandre Muñiz - How to Roll Two Dice - CoM Oct 2021

Players of games like Monopoly and Settlers of Catan roll a pair of six-sided dice and use the sum of the results. There are a number of designs for non-standard dice that give the same distribution of results. One well known one is the pair of Sicherman dice, created by Col. George Sicher

From playlist Celebration of Mind 2021

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Numerically-balanced d20 dice

For more details, see http://thedicelab.com/BalancedStdPoly.html These dice are available from http://www.mathartfun.com/DiceLabDice.html

From playlist Dice

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d2/3/4 MultiDice

These dice are available from http://www.mathartfun.com/DiceLabDice.html

From playlist Dice

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Impossible, Unbelievable, Intransitive Dice #thegameyoucannotwin

If you'd like to see more on the craziness that are intransitive dice, check out this video: https://youtu.be/jmuJuw9anQw. Let's say I tell you I've got two dice, and when I roll one of them, we'll call it die A, it beats the other one, we'll call that die B, 58% of the time. First of all

From playlist polymathematic #shorts

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Solving The Very Difficult MARTIAN Jigsaw Puzzle!! LEVEL 10

Today I'm going to attempt to solve the level 10 Martian Diamond by George Sicherman, exchanged by Brian Young at IPP 39. The goal here is to fit all the pieces in the diamond shape. BUY IT HERE: https://www.mrpuzzle.com.au/very-difficult-puzzles/martian-diamond-puzzle.html 1000's of PUZ

From playlist Puzzles!

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Skew d4

Available at http://mathartfun.com/DiceLabDice.html

From playlist Dice

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ALLOY - a quick definition

A quick definition of alloy. Chem Fairy: Louise McCartney Director: Michael Harrison Written and Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.com/socratica ► Make a one-time PayPal donation: https://www.paypal.me

From playlist Chemistry glossary

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Dice Games - Probability - GCSE Mathematics

Some classical probability questions with an interesting history. References: https://www.jstor.org/stable/2309286?read-now=1&refreqid=excelsior%3A78c56d8a01f7b57c1fe13915a91c3a20&seq=1 http://www.columbia.edu/~pg2113/index_files/Gorroochurn-Some%20Laws.pdf How many rolls to notice? https

From playlist Problem Solving

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Non-transitive Dice

We describe a set of very unusual dice, and a two player game where you will always have the advantage. For more see the full article here: http://grime.s3-website-eu-west-1.amazonaws.com/ More from David Spiegelhalter http://youtube.com/undunc

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Pascal's Triangle? In My Dice Rolls? It's More Likely Than You'd Expect. #some2

Oh boy aw man would you look at that? These two seemingly unrelated mathematical concepts are actually related. Oh wow, very cool. Luca Moroni's Blog: https://www.lucamoroni.it/the-dice-roll-sum-problem/ Credits: In the video, we forgot to thank James Schloss, who has also been working

From playlist Summer of Math Exposition 2 videos

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7 Versus 11 Sided Dice Game - Can You Solve It?

This is a fun probability riddle. A 7 sided dice has integer sides from -3 to 3, and an 11 sided dice has integer sides from -5 to 5. You pick a dice, and I get the other one. The larger number wins (ties are re-rolls). Which dice should you pick for the best chance of winning? Sources ht

From playlist Statistics And Probability

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How I Practice Programming: Five Dice

In this unusual video, I describe how programming practice needn't be stale and boring if you take inspiration from everyday things you find interesting, and viewed through the eyes of a programmer. Specifically I look at the implementation of 5 Dice based games, like Yahtzee. Source: htt

From playlist Interesting Programming

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Dice Combinatorics, Explained Through Game Design

Whenever I play tabletop game Farkle, I'm surprise by how often the high-point rolls occur. The probabilities don't seem to correlate with score. Let's try and fix it. [ Brilliant for 20% off: http://brilliant.org/ScienceAsylum ] The code used in this video: https://github.com/ScienceAsyl

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Adam Savage Rolls Simone Giertz's Build Dice!

Find Simone and Laura's Build Dice here: https://yetch.store/products/build-dice Adam is delighted to receive a set of Yetch Build Dice, the brainchild of our friends Simone Giertz and Laura Kampf! These beautifully made aluminum dice can be rolled to help springboard build ideas with a f

From playlist Show and Tell

Related pages

Root of unity | Dice | Mathematics | Factorization | Combinatorics | Martin Gardner | Polyhedron | Summation | Two-cube calendar | Divisor | Probability distribution | Discrete Mathematics (journal) | Generating function