A Piece of the Pi: mathematics explained
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Matroid bingo
Matroid bingo is a simplified version of the game of bingo.
Sep 15
•
Richard Green
7
Transparent rectangle visibility graphs
A graph consists of a set of vertices, some of which are joined in pairs by edges.
Sep 1
•
Richard Green
5
5
Balanced Steinhaus triangles
A familiar fact from the game of pool is that 15 objects can be arranged in an equilateral triangle of side length 5.
Aug 16
•
Richard Green
9
1
How to make hyperbolic wallpaper
Given a repeating wallpaper pattern in the Euclidean plane, is there a good algorithm to turn it into a wallpaper pattern in the hyperbolic plane, as in…
Aug 6
•
Richard Green
6
1
The binary sphere packing problem
What is the densest way to fill space with spheres of the same size?
Jul 12
•
Richard Green
10
Games in projective space
Projective geometry is a version of geometry in which there are points, lines, and planes, but in which there are no such things as distance or parallel…
Jun 16
•
Richard Green
8
2
Intersections of chords of a circle
The picture above shows a regular polygon with 15 vertices, including all the diagonals between the 15 vertices, and all the intersections between the…
Jun 4
•
Richard Green
12
2
Audio Note: Companion to “The geometry of musical keys”
The relationships between musical keys can be described either by means of the triangles in the “Tonnetz”, or by carefully designed geometric…
May 23
•
Richard Green
1:11
The geometry of musical keys
The Tonnetz (German for “tone network”) is a diagram representing musical tonal space, in which each vertex represents a musical note, and each small…
May 21
•
Richard Green
24
2
A robot that unknots knots
Imagine a robot walking a single lap of a knotted track in three dimensional space.
May 13
•
Richard Green
2
0:14
A robot that unknots knots
Imagine a robot walking one loop of a closed-circuit outdoor track.
May 12
•
Richard Green
4
5
Geodesics and polyhedra
A geodesic on a convex surface is a curve on the surface that is “locally straight”.
Apr 20
•
Richard Green
9
1
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