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Quansight / scipy-2022-swag

attempt at swag design for scipy 2022
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Intransitive card game. #2

Open Carreau opened 2 years ago

Carreau commented 2 years ago

There are games know as "intransitive", basically A > B > C > A, so thre can't be any "winner". It would be good to figure out how to make this automatically for trading cards after giving them statistics, like attack/defence.

Carreau commented 2 years ago

Talking with @danielballan, he suggested putting the cad on a cycle, and finding way to count the number of nodes to go from A to B in clockwise and anticlockwise direction, and the smallest one give us which card wins.

Carreau commented 2 years ago

There might be also some things we can use out of dobble game that uses projective plane math to make sure two cards only have a single symbol in common.

danielballan commented 2 years ago

I guess rock--paper-scissors is an example of such a game. One useful train of thought may be to consider how to extend that to N objects in a graphical way.

Carreau commented 2 years ago

what about vector product if two object are on a 2D plane ?

On Sun, Jul 17, 2022 at 10:08 Dan Allan @.***> wrote:

I guess rock--paper-scissors is an example of such a game. One useful train of thought may be to consider how to extend that to N objects in a graphical way.

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danielballan commented 2 years ago

Yeah, that seems doable mentally. How does it determine which card “wins”?

Carreau commented 2 years ago

How does it determine which card “wins”?

Whatever is positive. As A^B = - B^A as long as you have a convention to consider your card first that should be good.

danielballan commented 2 years ago

That makes sense!

If each card gets a 2D coordinate there are several games that might be possible: battleship is one.