U-tiling: UQC837
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc641 |
*22222 |
(2,4,3) |
{12,4} |
{4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3} |
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
|
True
|
|
sqc43
|
|
P4/mmm |
123 |
tetragonal |
{10,4} |
2 |
(2,3) |
|
G
|
False
|
|
sqc7478
|
|
Fddd |
70 |
orthorhombic |
{12,4} |
8 |
(2,5) |
|
D
|
False
|
|
sqc1607
|
|
Cmma |
67 |
orthorhombic |
{4,12} |
4 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.3.3.3.3.4.4.3.3.3.3.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<35.4:128:9 18 19 6 7 80 26 27 14 15 96 25 22 23 112 30 31 128 41 50 51 38 39 88 58 59 46 47 72 57 54 55 120 62 63 104 81 98 99 70 71 89 106 107 78 79 114 115 86 87 122 123 94 95 113 102 103 121 110 111 118 119 126 127,2 4 8 22 79 10 12 16 30 95 18 20 24 111 26 28 32 127 34 36 40 54 87 42 44 48 62 71 50 52 56 119 58 60 64 103 66 68 72 102 74 76 80 110 82 84 88 118 90 92 96 126 98 100 104 106 108 112 114 116 120 122 124 128,33 3 5 7 72 41 11 13 15 88 49 19 21 23 104 57 27 29 31 120 35 37 39 96 43 45 47 80 51 53 55 128 59 61 63 112 89 67 69 71 81 75 77 79 83 85 87 91 93 95 121 99 101 103 113 107 109 111 115 117 119 123 125 127:4 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 4 3 3 3,12 4 12 4 12 12 4 4> {(0, 39): 't2^-1', (0, 98): 't3^-1', (2, 120): 'tau3*t1*tau2^-1', (0, 121): 't2', (0, 112): 't2^-1*tau1^-1*t3', (2, 56): 't1', (2, 112): 'tau3^-1*t1^-1*tau2', (1, 101): 't3^-1', (1, 70): 't3', (2, 63): 'tau2', (0, 120): 't2*tau1*t3^-1', (0, 47): 't3^-1', (0, 88): 'tau1', (2, 23): 'tau2^-1', (0, 7): 't3', (1, 117): 't2^-1', (1, 86): 't2', (0, 73): 't3^-1', (0, 114): 't2^-1', (1, 109): 't3', (1, 78): 't3^-1', (0, 97): 't3^-1', (0, 106): 't3', (0, 80): 'tau1^-1', (2, 48): 't1', (0, 113): 't2^-1', (2, 31): 'tau3', (0, 15): 't2', (1, 125): 't2', (1, 94): 't2^-1', (2, 55): 'tau3^-1', (0, 122): 't2', }