_ 20:90AF GHM

Primitive Perfect Isosceles Right Triangled Square

Title: _ 20:90AF GHM

Order: 20

Horizontal side: 90 Vertical side: 90

Elements: 5, 5√2, 10, 12, 15, 12√2, 18, 20, 15√2, 24, 25, 18√2, 20√2, 30, 24√2, 40, 42, 30√2, 45, 48.

Code: 485 0 42 451 45 90 257 45 90 200 70 90 201 90 90 56 45 65 105 50 60 401 90 70 55 45 60 157 45 60 156 45 45 302 90 30 425 0 0 244 24 18 243 48 18 122 60 30 123 60 18 303 90 0 184 42 0 183 60 0

The properties below may precede order:side in a tiling's title:

c = crossed. There is a tile-corner traversed by two lines. The only known crossed PPIRTS's below order 20 are 19:35AB1of4 and 19:35AB4of4.
d = double-pentagon patterned. Every such tiling is a subdivision of an instance of the same deformable tiling by two 45-90-90-90-225 pentagons with a shared side, four triangles and two pseudotriangles. All below order 19 are degenerate in the sense that one or more sides of underlying tiles have shrunk to zero length. The non-degenerate d-tilings of order 19 are 19:221AA, 19:229AB and 19:241AA.
e = elegant. No tile-corner is just a T-junction. Such tilings may be considered aesthetically pleasing. The only known elegant PPIRTS's below order 16 are 13:21AA, 14:26AJ, 14:35AA and 15:55AA.
i = isomers exist which are ineligible for this catalogue. They are not included in the isomer count which follows 'of' in the tiling id.
r = rectangular inclusion. The only known PPIRTS's below order 16 with a rectangular inclusion are 13:18AA1-4of4 and 15:44AA1-4of4.

Credit for Discovery

Just three people are credited with the discovery of Primitive Perfects:

Geoffrey H. Morley (GHM, England)

Jasper D. Skinner, II (JDS, United States)

William T. Tutte (WTT, Canada, 1917-2002) (15:44AI, 17:136AJ and 19:56AJ only)