Mixed Polypent Compatibility

Introduction

Two or more polypents are compatible if there is a polypent that each of them can tile. Here I show some compatibilities for two polypents of different orders.

Nomenclature

Tripents

Tetrapents

Pentapents

I use Erich Friedman's names for the pentapents.

Tripents and Tetrapents

Here are minimal figures for all tripent-tetrapent pairs.

 3V3C
4N3:43:4
4L3:43:4
4I3:43:4
4J3:43:4
4C3:43:4
4T3:46:8
4Y3:43:4

Tripents and Pentapents

Here are minimal figures for all tripent-pentapent pairs.

 3V3C
5A6 103 5
5B3 56 10
5C12 203 5
5D3 53 5
5E3 56 10
5F3 56 10
5G3 53 5
5H6 103 5
5I6 103 5
5J3 53 5
5K6 103 5
5L6 103 5
5M3 53 5
5N3 53 5
5P3 53 5
5Q3 56 10
5R6 103 5
5S3 53 5
5T6 103 5
5U3 53 5
5V6 103 5
5W3 56 10
5X6 10
5Y3 56 10
5Z3 56 10

3 Pentapents, 5 Tripents

6 Pentapents, 10 Tripents

12 Pentapents, 20 Tripents

Tetrapents and Pentapents

Here are minimal known figures for all compatible tetrapent-pentapent pairs.

 4C4I4J4L4N4T4Y
5A4:58:108:104:5??4:5
5B16:2016:204:54:516:2020:258:10
5C4:58:104:58:10?20:25?
5D4:54:54:54:58:10?8:10
5E8:1016:204:58:1016:204:5?
5F20:25?8:104:5?4:5?
5G4:54:54:58:104:5??
5H8:104:54:58:10??4:5
5I8:104:54:58:104:5?8:10
5J4:58:104:54:516:204:5?
5K8:104:54:5?4:5?8:10
5L4:54:54:54:5??16:20
5M20:25?8:104:5?8:10?
5N4:54:54:58:104:5?8:10
5P8:104:54:54:58:10?8:10
5Q8:1016:208:104:54:54:5?
5R4:54:54:58:104:5?8:10
5S4:54:54:54:54:5?8:10
5T8:108:104:54:5?4:5?
5U16:204:54:520:25???
5V8:1016:204:54:5???
5W4:54:516:20?4:5?8:10
5X?????4:5?
5Y4:54:58:104:58:10?4:5
5Z8:104:54:54:516:20?8:10

4 Pentapents, 5 Tetrapents

8 Pentapents, 10 Tetrapents

16 Pentapents, 20 Tetrapents

20 Pentapents, 25 Tetrapents

Last revised 2012-04-18.


Back to Pairwise Compatibility.
Back to Polyform Compatibility.
Back to Polyform Curiosities.
Col. George Sicherman [ HOME | MAIL ]