5-Player Go First Dice

5-Player Go First Dice are available from www.mathartfun.com/dSpecial.html
Our five player set was discovered by Paul Meyer. Carl Hoff and I did the 3D design and they were produced by The Dice Lab, which is Robert Fathauer and me. The positioning of the numbers was derived from a numbering of the deltoidal hexecontahedron d60 by Paul McGuire.
The four player set was discovered by Eric Harshbarger, Robert Ford, and James Ernest, and is available from MathsGear at mathsgear.co.uk/collections/d...
The three player set was discovered by Robert Ford.
There are five player sets with fewer faces, but the only known solutions use dice of different sizes. Bram Cohen found a solution with one d20 and four d36 dice.
For much more on the history and different solutions for making Go First Dice, see gofirstdice.ericharshbarger.or...

[@jonp8015]

Man, I hope this set comes with a mathematical proof on how the dice are fair. Because that's the only way I'd be able to get my table to use them.

[@dysphoricpeach]

deltoidal hexecontahedra! i must have them

[@whoeveriam0iam14222]

It's unfortunate that dice this round tend to keep rolling until they fall off the table
I'd like a 6 player version for placing the "reputation" markers randomly in Libertalia. Now i shuffle them together in my hands and drop them blind one by one. But with dice everyone could roll their own unimportant spot
I really like the 4 person dice. They've been used a lot and new people always wonder how it's possible

[@themixedmaster]

A shuffled deck of numbered cards works well. Really it makes the dice pointless, but that doesn’t mean we don’t love them.

[@NormanNC]

fine young dicemanship

[@3g0st]

They are so pretty!

[@tuskiomisham]

how do you make it fair? if the black has 1, red has 2, green 3, blue 4, and purple 5, this means that purple will take precedent in any roll, meaning you should always take purple.

[@MatthijsdeWit111]

But you offset it, by taking the 5 largest numbers and giving purple the lowest (295) and black the highest (300) for example. And you just repeat that for the other number, although it'll probably get complex fast to make sure the matchups are fair, which is why we don't know if we can do better than 60 sides.

[@lunas3435]

if you really want to know more about them, Numberphile made a video called "Go First Dice"

[@tuskiomisham]

​@@MatthijsdeWit111 that still doesn't even things out, that just makes it so that different numbers have precedent from different values.

[@MatthijsdeWit111]

@@tuskiomisham it does though, check the Wikipedia page for 'go first dice'. And look at the optimal solution for 4 players. And then look at the lowest values of each die: 1,2,3,4. And the second lowest values of each die: 5,6,7,8. (So each column in the table.) This pattern continues. Although if you check, it's not very easy to construct, some die have for example 3 times the lowest number in a set of 4 (first row), while others never have the lowest number in a set of 4 (second row). I guess it's just more or less trial and error to find a set of permutations that result in fair die/matchups.

[@Uni_974]

Let's hope they don't get upset and try to kill me

[@Druforithe]

hunh

[@quillclock]

i dont know. that math aint mathing