The most surprising What-Comes-Next? or How did Fibonacci beat the Solitaire army?
Fibonacci and a super pretty piece of life-and-death mathematics. What can go wrong?
00:00 Intro
02:20 Solitaire
03:12 Survivor challenge
05:32 Invasion
11:41 The triangles of death
20:22 Final animation
21:43 Thank You!
Here is an online version of Marty and my newspaper article about the possible positions of one remaining peg when playing peg solitaire on various boards
Marty and my new book “Putting two and two together“
Martin Aigner’s paper “Moving into the desert with Fibonacci“. Bit of a pain to access it for free, possible though via this site.
This paper contains the proof that I am focussing on in this video. It also has Conway’s golden ratio based proof.
An implementation of the solitaire army game by Mark Bensilum. Use it to play solitaire army general. Note that this implementation starts with all of the bottom squares occupied by pegs. Please read carefully how you ar
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