Some 2-tile tessellations with semi-regular angle-gons

Drag the large vertex A[1] to change the shape of the semi-regular angle-gon below with n = 3 and k = 1. Drag the centre of the circumcircle to enlarge or reduce.

Please install Java (version 1.4 or later) to use JavaSketchpad applets.

Tessellation with equi-angular cyclic hexagon

Drag the large vertices A[1] and A[2] to change the shape of the semi-regular angle-octagon below with n = 4 and k = 1. Drag the centre of the circumcircle to enlarge or reduce.

Please install Java (version 1.4 or later) to use JavaSketchpad applets.

Tessellation with equi-angular cyclic octagon

Investigate the transformations that can be used to create these tessellations, as well as the line and rotational symmetries of the resulting patterns.


This page uses JavaSketchpad, a World-Wide-Web component of The Geometer's Sketchpad. Copyright © 1990-2011 by KCP Technologies, Inc. Licensed only for non-commercial use.

Michael de Villiers, 16 July 2011.