U-tiling: UQC5131
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
|
|
sqc5341
|
|
P42/nnm |
134 |
tetragonal |
{4,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc5288
|
|
Ibca |
73 |
orthorhombic |
{4,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc5287
|
|
I41/amd |
141 |
tetragonal |
{4,4} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6}{6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<105.1:96:13 3 5 7 68 69 11 24 15 17 19 92 93 23 37 27 29 31 80 81 35 48 39 41 43 56 57 47 73 51 53 55 59 84 85 63 65 67 71 96 75 77 79 83 87 89 91 95,2 10 6 9 8 12 14 22 18 21 20 24 26 34 30 33 32 36 38 46 42 45 44 48 50 58 54 57 56 60 62 70 66 69 68 72 74 82 78 81 80 84 86 94 90 93 92 96,25 4 5 30 31 56 57 58 59 36 37 16 17 42 43 80 81 82 83 48 28 29 92 93 94 95 40 41 68 69 70 71 85 52 53 90 91 96 73 64 65 78 79 84 76 77 88 89:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1', (0, 59): 'tau1', (0, 56): 't3', (0, 60): 'tau1^-1', (2, 53): 't3*tau2*t1^-1*tau3^-1*t2', (2, 54): 't3*tau2*t1^-1*tau3^-1*t2', (2, 55): 't3*tau2', (2, 48): 't3*tau2*t1^-1*tau3^-1*t2', (0, 55): 't3', (2, 41): 't1', (2, 42): 't1', (2, 43): 'tau2*t3', (2, 36): 't1', (0, 32): 't2^-1', (2, 29): 't1', (2, 30): 't1', (2, 31): 'tau3^-1*t2', (2, 24): 't1', (0, 31): 't2^-1', (0, 19): 't2', (0, 20): 't2', (2, 19): 'tau3*t2^-1', (0, 8): 't3', (0, 48): 'tau1', (0, 95): 'tau1', (0, 7): 't3', (2, 65): 't3^-1*tau2^-1*t1*tau3*t2^-1', (2, 66): 't3^-1*tau2^-1*t1*tau3*t2^-1'}