U-tiling: UQC477
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc24 |
*24(12) |
(1,1,2) |
{4} |
{4.12.4.12} |
s-nets
3 records listed.
| Surface |
Edge collapse |
Image |
s-net name |
Other names |
Space group |
Space group number |
Symmetry class |
Vertex degree(s) |
Vertices per primitive unit cell |
Transitivity (Vertex, Edge) |
|
P
|
False
|
|
sqc942
|
mot-e
|
P4/mmm |
123 |
tetragonal |
{4,4} |
6 |
(2,2) |
|
G
|
False
|
|
sqc5262
|
|
I41/a |
88 |
tetragonal |
{4,4} |
12 |
(2,3) |
|
D
|
False
|
|
sqc5263
|
|
I41/amd |
141 |
tetragonal |
{4,4} |
12 |
(2,2) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.12.4.12}{12.4.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.1:96:3 4 17 18 9 10 23 24 15 16 21 22 27 28 83 84 33 34 95 96 39 40 59 60 45 46 71 72 51 52 77 78 57 58 63 64 89 90 69 70 75 76 81 82 87 88 93 94,7 38 39 5 42 44 45 11 48 25 50 51 17 54 31 62 63 23 66 68 69 29 72 56 57 35 60 43 41 47 67 53 61 59 65 71 85 92 93 77 96 91 86 87 83 90 89 95,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96:4 12 4 12 4 4 4 4,4 4 4 4 4 4 4 4 4 4 4 4> {(1, 85): 't2*tau3^-1*t1^-1*tau2*t3', (1, 24): 't3^-1', (1, 67): 'tau2*t3', (1, 90): 'tau1', (1, 37): 't1', (1, 60): 't2', (1, 84): 'tau1^-1', (1, 66): 't3^-1', (1, 55): 'tau3^-1*t2', (1, 91): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 49): 't3*tau2', (1, 61): 't2*tau3^-1', (1, 43): 't1', (1, 30): 't2^-1', }