U-tiling: UQC475
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc239 |
*2244 |
(2,2,3) |
{4,4} |
{4.6.8.6}{6.8.6.8} |
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
|
|
sqc5528
|
|
P4/nmm |
129 |
tetragonal |
{4,4} |
12 |
(2,2) |
|
G
|
False
|
|
sqc5526
|
|
I41/a |
88 |
tetragonal |
{4,4} |
12 |
(2,3) |
|
D
|
False
|
|
sqc5527
|
|
I41/amd |
141 |
tetragonal |
{4,4} |
12 |
(2,2) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.6.8.6}{6.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:96:3 4 41 42 9 10 47 48 15 16 53 54 21 22 65 66 27 28 71 72 33 34 59 60 39 40 45 46 51 52 57 58 63 64 69 70 75 76 95 96 81 82 89 90 87 88 93 94,37 8 15 5 18 43 21 11 24 49 26 17 61 32 23 67 81 29 84 55 93 35 96 44 57 41 60 69 47 72 68 75 53 78 62 59 87 65 90 71 91 86 77 85 92 83 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 96:8 6 4 8 4 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 29): 't3^-1*tau2^-1', (0, 41): 't1', (0, 95): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 22): 'tau3*t2^-1', (0, 88): 't2*tau3^-1*t1^-1*tau2*t3', (0, 59): 'tau3^-1*t2', (1, 25): 't3^-1', (1, 91): 'tau1', (0, 52): 't3*tau2', (0, 23): 'tau3*t2^-1', (0, 89): 't2*tau3^-1*t1^-1*tau2*t3', (0, 46): 't1', (1, 85): 'tau1^-1', (1, 67): 't3^-1', (0, 53): 't3*tau2', (0, 47): 't1', (1, 31): 't2^-1', (0, 28): 't3^-1*tau2^-1', (0, 40): 't1', (0, 94): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 61): 't2', (0, 58): 'tau3^-1*t2', }