A few animated rithmomachia games

For more on how these games are created, see the github site github.com/wdjoyner/rithmomachia

Game 1:

an animated game of rithmomachia. See game log below.

Unless I’m mistaken, White/Even has won the game above by a small proper victory due to the existence of a fireteam in enemy territory. In fact, Even has (4,6,9), a geometric progression with r = 3/2, and (1,9,81), a geometric progression with r = 9. In both cases, a sub-piece of the pyramid is used in the fireteam.

Game 2:

another animated rithmomachia game

In this case, unless I’m mistaken, Black/Odd has won because the first to capture 4 enemy pieces wins (small common victory, with the default N0=4 value).

Game 3:

In this game also generated by the Python program animate_full_game, Black/Odd wins by geometrical progression — the winning pieces (the “fireteam”) are t^16, s^28, s^49. The animation was generated by Imagemagick using frames created using matplotlib. (See the rithmomachia github site for code).