Non-ultraperfect Perfect Isosceles Right Triangled Square

Title: _ 12:27PB

Order: 12

Horizontal side: 27 Vertical side: 27

Elements: 1, 1√2, 2, 2√2, 4, 5, 5√2, 7√2, 11, 9√2, 11√2, 27.

Code: 277 0 27 116 16 16 76 9 9 115 16 5 90 9 9 17 16 5 10 17 5 54 22 0 53 27 0 27 16 4 26 16 2 45 18 0

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)