Spherical symmetry patterns
Contents
(This is a work in progess…)
The Four Fundamental Features
- wonders: repeated without reflection. not explained by gyrations, mirrors or miracles
- gyrations: rotational symmetry
- kaleidoscopes: mirror lines
- miracles: mirrorless crossing
Conway Cost$∘:2
N:N−1N
∞:1
∗:1
×:1
N:N−12N
∞:12
Total cost of a spherical symmetry pattern is less than 2
14 spherical symmetry possibilities:
∗532∗432∗332∗22N∗NNN∗3∗22∗NN×53243233222NNN
∗532

∗432

∗332

∗22N

∗NN

3∗2

2∗N

N∗

N×

532

432

332

22N

NN
