A Hinged Realization of a Plane Tessellation
The applet implements a hinged realization of one [Steinhaus, #81] of semi-regular plane tesselations that was suggested by D. Wells in his [Hidden Meanings, p. 139].
The tessellation is built around a rhombus, with regular hexagons and equilateral triangles attached to the two pairs of opposite sides. Steinhaus' tessellation #81 is obtained when the rhombus becomes a square.
The applet allows to create various visual effects. For example, the following strongly reminds of the wobbling parallel lines in the Brick wall illusion.
H. Steinhaus, Mathematical Snapshots, umpteen edition, Dover, 1999
D. Wells, Hidden connections, double meanings: A mathematical exploration, Cambridge University Press, 1988
Copyright © 1996-2018 Alexander Bogomolny