Asymmetric rock-paper-scissors-lizzard-Spock equation on the sphere


Asymmetric rock-paper-scissors-lizzard-Spock equation on the sphere


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Solution of a reaction-diffusion equation involving five chemicals. Each chemical dominates one of the others, is dominated by another one, and does not interact with the other two.

The game Rock-Paper-Scissors-Lizard-Spock was originally created by Sam Kass with Karen Bryla for the sitcom Big Bang theory (see ). It is a variant of the Rock-Paper-Scissors game, in which each of the five words beats two others, and is beaten by the two other ones:
- Rock (red) beats Scissors and Lizard, and is beaten by Paper and Spock
- Paper (yellow) beats Rock and Spock, and is beaten by Scissors and Lizard
- Scissors (green) beat Paper and Lizard, and are beaten by Rock and Spock
- Spock (blue) beats Scissors and Rock, and is beaten by Lizard and Paper
- Lizard (purple) beats Spock and Paper, and is beaten by Rock and Scissors
This simulation shows a solution of a reaction-diffusion equation that imitates the game. There are five chemicals, which diffuse, and transform into each other. Each chemical can convert two other ones into its own type, while it is converted by the other two.

In this version, only 5 of the 10 possible interactions are kept.


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