Just updated my Collection of Dice problems with a problem suggested by a reader (it's #27 of the now 78 problems).
Tag: mathematics
Still more Truchet tiling
Giant image showing 63 different flavors of truchet tilings: all non-empty possibilities with 6 base tiles. Random flood filling added for color. Click to enlarge.
circles pass close
A new video, again using particles and circles. Made with Csound and processing.org.
octagon theorems animations
Made some animations to demonstrate some theorems about octagons. I think they look pretty nice.
packing superellipses
I was wanting to pack superellipses tightly, so I worked out how to get two of them to be tangent to each other, and this allows me to create superellipses that are as large as possible and so fill space well. For this image, I turned off the requirement that the superellipses not be inside one another, and I think it has a nice look to it.
These are all 4-exponent superellipses (i.e., their shapes are the same as that of x4+y4=1).