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 1016 20×?8 10?16 20??
2×4 58 10?4 516 2016 20×?16 20?16 20?8 10
3×4 54 5????×??×16 20?×
48 108 108 10×??×××16 20×8 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??16 20??
8×?16 204 58 10??××?×??8 10
94 54 54 5×4 54 5××4 58 10×8 104 54 5
10×16 208 10????×??×???
11×12 158 10?32 408 108 10×?8 10?16 208 10?
12×8 1016 204 5??8 10××??16 20??
13×?????8 10×16 2016 20?8 1016 2016 20
14×??×??8 104 5?24 30?4 516 20?
15×8 10????8 104 5?16 20?8 10??
16×???4 58 108 10×8 10??4 5?48 60
17×16 2032 40×??8 10×?16 20????
18×??×16 20??××8 10?16 20??
19×??×???×8 104 5????
20×8 108 10???16 20×?16 204 54 5??
21×?8 108 104 58 108 1012 15?8 1016 204 516 208 10
22××?××××××??16 20××
23×16 208 1024 30??16 20×?8 10?8 10?16 20
248 108 108 10???16 2016 20?4 5?8 1012 158 10
25×32 408 10?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 1016 204 5??16 20×?16 20×4 54 58 10
294 54 54 5?16 2032 40?×?8 10×8 10?8 10
30×8 104 5????×???8 10??
 1234567891011121314

5 Tetraboloes, 4 Pentaboloes

10 Tetraboloes, 8 Pentaboloes

15 Tetraboloes, 12 Pentaboloes

More Tetraboloes and Pentaboloes

Last revised 2014-10-21.

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Col. George Sicherman [ HOME | MAIL ]