Non-ultraperfect Perfect Isosceles Right Triangled Square

Title: _ 12:27PA

Order: 12

Horizontal side: 27 Vertical side: 27

Elements: 1, 2√2, 4, 4√2, 7, 5√2, 8, 9, 10, 8√2, 10√2, 27.

Code: 277 0 27 106 17 17 93 17 8 105 17 7 80 8 8 81 16 8 42 20 4 11 17 8 54 22 2 73 27 0 43 20 0 22 22 2

The fact that every NPIRTS has a subdivided triangle is not recorded as a property. The properties below may precede order:side in a tiling's title:

• e = elegant. No tiling is just a T-junction. Such tilings may be considered aesthetically pleasing.
• p/r = pseudotriangular/rectangular inclusion subdivided into at least 6/5 triangles respectively.

Credit for Discovery

Jasper D. Skinner found many NPIRTS's before this catalogue was built by Geoffrey H. Morley. Only the two lowest order NPIRTS's are attributed to discoverers:

J. Douglas and E.P. Starke (D&S, United States) (7:10PA only)

Arthur H. Stone (AHS, United States, 1916-2000) (7:7PA only)