Hypermorphic Tilings

Although I am primarily interested in composing 'representational' tessellations, on occasions I do indeed turn my attention purely to the mathematical aspect, and amongst my interests are tessellations that in everyday terms can be described as having multiple 'stacking possibilities', of which such examples are known generally as hypermorphic or for distinct sets dimorphic, trimorphic... as appropriate. The examples following, of two distinct tiles, can be seen to stack in a number of ways, both singly and in combination, as shown below by No. 1 and No. 2, respectively.

Page History
16 December 2025. Upgrade from Classic Sites.  The conversion did not require a widespread revision. Captions had become 'free floating' (detached), which I now reattach.  Corrected basic errors in the text with Grammarly, pending a later in-depth review.
In general, the piece is overdue for a review, with a much deeper explanation.  The study itself (1997) was intense and long, but was not particularly conducive for placing on a webpage. 

Created 30 September 2009. Revised as a single page 14 May 2014