Tetrabolo-Pentabolo Compatibility

Introduction

A tetrabolo is a figure made of four equal isosceles right triangles joined at equal edges. There are 14 such figures, not distinguishing reflections and rotations. A pentabolo is a figure made of five equal isosceles right triangles joined at equal edges. There are 30 such figures, not distinguishing reflections and rotations.

Here are minimal compatibility figures for tetraboloes and pentaboloes. Not all are uniquely minimal.

Summary

Tetrabolo Numbers

Pentabolo Numbers

Table

 1234567891011121314
1×4 58 10??8 10?×?8 10?16 20??
2×4 58 10?4 5??×?????8 10
3×4 54 5????×??×??×
48 108 108 10×??×××?×8 10??
5×4 54 5??8 10?×?8 10?4 5??
64 54 54 54 5??××?4 5×8 104 58 10
7×8 104 5?8 10??×8 10?????
8×??4 58 10??××?×??8 10
94 54 54 5×4 54 5××4 58 10×8 104 54 5
10×?8 10????×??×???
11×?8 10??8 108 10×?8 10??8 10?
12×8 10?4 5??8 10××?????
13×?????8 10×???8 10??
14×??×??8 104 5???4 5??
15×8 10????8 104 5?16 20?8 10??
16×???4 58 108 10×8 10??4 5??
17×16 20?×??8 10×?16 20????
18×??×???××8 10????
19×??×???×8 104 5????
20×8 108 10????×??4 54 5??
21×?8 108 104 58 108 1012 15?8 10?4 5?8 10
22××?××××××???××
23×?8 1024 30??16 20×?8 10?8 10??
248 108 108 10????×?4 5?8 1012 158 10
25×???4 58 108 104 54 58 104 58 10??
26?4 58 108 108 10??×???16 208 108 10
27×?8 104 54 58 108 10×?16 20?8 104 58 10
28?8 10?4 5???×??×4 54 58 10
294 54 54 5????×?8 10×8 10?8 10
30×8 104 5????×???8 10??
 1234567891011121314

5 Tetraboloes, 4 Pentaboloes

10 Tetraboloes, 8 Pentaboloes

More Tetraboloes and Pentaboloes

Last revised 2011-01-25.

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Col. George Sicherman [ HOME | MAIL ]