U-tiling: UQC55
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc9 |
*246 |
(1,1,1) |
{4} |
{6.6.6.6} |
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
|
|
sqc29
|
mot
|
P4/mmm |
123 |
tetragonal |
{4,4} |
3 |
(2,2) |
|
G
|
False
|
|
sqc5561
|
|
I41/acd |
142 |
tetragonal |
{4,4} |
12 |
(2,2) |
|
D
|
False
|
|
sqc969
|
|
P42/nnm |
134 |
tetragonal |
{4,4} |
6 |
(2,2) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<3.2:96:7 3 10 6 9 12 19 15 25 18 21 31 24 27 37 30 33 43 36 39 52 42 45 61 48 64 51 54 73 57 76 60 63 66 85 69 88 72 75 78 91 81 94 84 87 90 93 96,2 15 5 18 8 21 11 27 14 17 20 23 72 26 29 84 32 90 35 51 38 96 41 60 44 66 47 69 50 53 78 56 81 59 62 87 65 68 71 74 93 77 80 83 86 89 92 95,4 35 36 41 42 10 44 45 53 54 22 47 48 28 56 57 31 62 63 59 60 37 74 75 50 51 77 78 40 65 66 52 58 55 76 73 79 83 84 82 80 81 91 95 96 94 92 93:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 61): 'tau2', (2, 62): 'tau2', (2, 57): 't3^-1', (0, 60): 't3^-1', (2, 52): 't1', (2, 53): 't1', (2, 54): 't2', (0, 54): 't2', (2, 81): 'tau1', (2, 44): 't1', (2, 43): 't1', (2, 37): 'tau3', (2, 38): 'tau3', (2, 32): 'tau2^-1', (0, 36): 't2', (2, 31): 'tau2^-1', (0, 30): 't3', (1, 92): 't2', (2, 26): 'tau3', (2, 21): 't3^-1', (2, 15): 't2', (1, 38): 't2', (2, 92): 't2*tau3^-1*t1^-1*tau2', (2, 93): 'tau1*t3^-1', (2, 94): 't2^-1*tau3*t1*tau2^-1', (2, 95): 't2^-1*tau3*t1*tau2^-1', (2, 88): 'tau2^-1*t1*tau3*t2^-1', (2, 90): 'tau1^-1*t3', (0, 87): 't3', (0, 84): 't3^-1', (2, 25): 'tau3', (2, 78): 'tau1^-1'}