Finite
Geometry
Notes |

Drag any 4x4 image to overlay it on any other.

A variety of interesting patterns results.

The images are a few of the many Latin squares that

can be formed using half-circles as entries. They are the

original form of the images in the
diamond theorem that use

not half-circles, but triangular half-squares, as array entries.

© 2009 Steven H. Cullinane

Update of March 15, 2010--

The above patterns were suggested by an artwork from

the Albright-Knox museum shop I received as a gift

in 1975. This was a square box with 16 rotatable spheres,

each half black and half white, embedded in the box's top.

The artwork may have been based on the work of

Paul Talman. A reconstruction, below, indicates

how this may have been done by picturing a detail

of Talman's Kugelbild, a kinetic sculpture

that he probably did around 1968.

Page created December 22, 2009.