Simple Primitive Imperfect Isosceles Right Triangled Squares (SPIIRTS's)

A SPIIRTS is an imperfect isosceles right triangled square with no properly contained pseudotriangle/rectangle/triangle subdivided into 3/2/2 or more elements respectively. Two equal elements may constitute a non-square parallelogram but not a properly contained square.

Catalogues

Individual tilings are accessible from the menus on the left. All collections of tilings can also be downloaded. The SPIIRTS catalogues are available as pdfs from this page.

  1. pdf of SPIIRTS order 2 (1 tiling) 4k
  2. pdf of SPIIRTS order 8 (2 tilings) 7k
  3. pdf of SPIIRTS order 9 (1 tiling) 5k
  4. pdf of SPIIRTS order 10 (10 tilings) 15k
  5. pdf of SPIIRTS order 11 (37 tilings) 41k
  6. pdf of SPIIRTS order 12 (144 tilings) 147k
  7. pdf of SPIIRTS order 13 (417 tilings) 425k
  8. pdf of SPIIRTS order 14 (958 tilings) 990k

Properties

Credit for Discovery

The catalogue was built by Geoffrey H. Morley but no SPIIRTS's are attributed to discoverers.