richard pates
richard pates
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An Alternative Look at Peg Solitaire
A video about peg solitaire, parity arguments, and biscuits.
This video is for educational purposes. There is a lot of fun mathematics going on under the hood, including connections to linear programming, Diophantine equations and the mysteriously named Fredholm alternative. If you're interested, check out my write up here:
www.richardpates.com/an-alternative-look-at-peg-solitaire-part-i/
A pretty accessible entry to the mathematics of peg solitaire that I used a lot is "Winning Ways for your mathematical plays, vol IV", by Berlekamp, Conway and Guy (google for pdfs).
0:00-2:03 -- Introduction
2:03-3:25 -- The rules of peg solitaire, and solution to the English board
3:25-4:23 -- Phone a friend
4:23-6:27 -- Parity prevents solution to the French board
6:27-6:58 -- Bending the rules
6:58-8:43 -- A Rational solution to the French board
Animations made with Manim:
www.manim.community/
Stock video and sound effects from Mixkit
mixkit.co/
Music in the video:
Track: Driving Ambition By Ahjay Stelino
License: Creative Commons Attribution 3.0 - CC BY 3.0
___________________________________________________
TRACK INFO
Title: Driving Ambition By Ahjay Stelino
Genre: Corporate / Motivation
Mood: Uplifting
________________________________________
CONTACT THE ARTIST
Website: ahjaystelino.com/
Contact: ahjaystelino.com/contact/
_________________________________________
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