Experiments in Dodecagon Tesselation

Using compass-and-straightedge techniques, a regular dodecagon (12-sided polygon) can be drawn. The intersections of 12 circles inscribed within the dodecagon define 73 points of interest. Straight lines between these 73 points delineate squares and diamonds of identical side length.

Tesselated Dodecagon (15 seconds exposure) Tesselated Dodecagon (15 seconds exposure)
Tesselated Dodecagon (30 seconds exposure) Tesselated Dodecagon (30 seconds exposure)
Tesselated Dodecagon (120 seconds exposure) Tesselated Dodecagon (120 seconds exposure)
Tesselated Dodecagon (240 seconds exposure) Tesselated Dodecagon (240 seconds exposure)
Long view by day Long view by day
Central diamonds Central diamonds
Detail of a vertex Detail of a vertex
Tesselated Dodecagon at Burning Man 1999
Tesselated Dodecagon Construction

Images and text © 2003 Aaron Ferrucci except where otherwise noted.