U-tiling: UQC3351
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc461 |
*2244 |
(3,4,2) |
{8,4,4} |
{4.4.4.4.4.4.4.4}{4.6.6.4}{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
|
|
sqc6425
|
|
P4/nmm |
129 |
tetragonal |
{8,4,4} |
12 |
(3,4) |
|
G
|
False
|
|
sqc6357
|
|
I41/a |
88 |
tetragonal |
{8,4,4} |
12 |
(3,4) |
|
D
|
False
|
|
sqc6360
|
|
I41/amd |
141 |
tetragonal |
{8,4,4} |
12 |
(3,4) |
Topological data
| Vertex degrees | {8,4,4} |
| 2D vertex symbol | {4.4.4.4.4.4.4.4}{4.6.6.4}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<28.1:112:8 3 11 12 7 10 14 29 17 32 33 21 36 24 39 40 28 31 35 38 42 50 45 53 54 49 52 56 78 59 81 82 63 71 66 74 75 70 73 77 80 84 99 87 102 103 91 106 94 109 110 98 101 105 108 112,2 4 6 49 9 11 13 56 16 18 20 63 23 25 27 77 30 32 34 84 37 39 41 70 44 46 48 51 53 55 58 60 62 65 67 69 72 74 76 79 81 83 86 88 90 112 93 95 97 105 100 102 104 107 109 111,43 16 17 5 20 21 50 23 24 12 27 28 57 19 71 26 78 93 94 33 97 98 64 107 108 40 111 112 65 66 47 69 70 79 80 54 83 84 86 87 61 90 91 68 100 101 75 104 105 82 106 89 99 96 103 110:4 6 4 6 4 6 4 4 4 4 6 4,8 4 4 8 4 4 4 4 4 4 4 4> {(0, 59): 't3', (0, 56): 't3', (2, 63): 'tau3^-1*t2', (2, 56): 't3*tau2', (0, 63): 't2^-1', (0, 60): 't3', (2, 49): 't1', (2, 42): 't1', (0, 35): 't2^-1', (0, 32): 't3^-1', (0, 38): 't2^-1', (0, 39): 't2^-1', (2, 28): 't3^-1*tau2^-1', (0, 31): 't3^-1', (0, 28): 't3^-1', (2, 21): 'tau3*t2^-1', (0, 105): 'tau1', (2, 105): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 108): 'tau1', (0, 109): 'tau1', (0, 98): 'tau1^-1', (0, 102): 'tau1^-1', (2, 98): 't2*tau3^-1*t1^-1*tau2*t3', (0, 101): 'tau1^-1', (0, 74): 't2', (0, 73): 't2'}