Pentahex Compatibility

Introduction

A pentahex is a figure made of five regular hexagons joined edge to edge. There are 22 such figures, not distinguishing reflections and rotations.

Dr. Erich Friedman's Math Magic for September 2004 shows compatibility figures for pairs of pentahexes (and many other polyforms). Here are minimal known compatibility figures for pairs of pentahexes. Joe DeVincentis and Dr. Friedman found many solutions. Dr. Andrejs Cibulis was the first to solve some of the hardest compatibilities.

For compatible pairs of pentahexes with an odd number of tiles, see Pentahex Odd Pairs.

Summary

I adopt Dr. Friedman's nomenclature:

 ACDEFHIJKLNPQRSTUVWXYZ
A*422223222223266628323
C4*332392222222223233032
D23*3332222222226232322
E233*3224222222233182222
F2233*29222223222262662
H23322*102222223223112362
I3922910*38232835?18353522
J2224223*22222223223322
K22222282*2222222332222
L222222222*222222222823
N2222223222*23233222322
P22222222222*2236222222
Q322232822232*222642222
R2222233222222*22324222
S62222252223322*22341522
T626322?32236222*3266022
U63232318232226323*627862
V2231861132322242326*102422
W8322225322222446210*662
X3303263353283222156078246*24
Y23226622222222226262*2
Z322222222322222222242*

2 Tiles

3 Tiles

4 Tiles

5 Tiles

6 Tiles

8 Tiles

9 Tiles

10 Tiles

11 Tiles

15 Tiles

18 Tiles

24 Tiles

30 Tiles

35 Tiles

60 Tiles

78 Tiles

Last revised 2009-11-15.

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Col. George Sicherman [ HOME | MAIL ]