U-tiling: UQC1231
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1050 |
*22222 |
(2,5,3) |
{12,3} |
{4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3} |
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
|
|
sqc2249
|
|
Fmmm |
69 |
orthorhombic |
{11,3} |
6 |
(2,5) |
|
G
|
False
|
|
sqc8567
|
|
Fddd |
70 |
orthorhombic |
{12,3} |
12 |
(2,6) |
|
D
|
True
|
|
sqc102
|
|
Pmmm |
47 |
orthorhombic |
{10,3} |
3 |
(2,5) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {4.4.3.3.4.4.4.4.3.3.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<43.1:144:82 4 5 78 79 80 45 100 13 14 96 97 98 54 118 22 23 114 115 116 63 136 31 32 132 133 134 72 91 40 41 105 106 107 73 49 50 87 88 89 127 58 59 141 142 143 109 67 68 123 124 125 76 77 108 85 86 99 94 95 103 104 112 113 144 121 122 135 130 131 139 140,2 7 85 6 9 11 16 103 15 18 20 25 121 24 27 29 34 139 33 36 38 43 94 42 45 47 52 76 51 54 56 61 130 60 63 65 70 112 69 72 74 79 78 81 83 88 87 90 92 97 96 99 101 106 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,19 3 5 87 8 18 28 12 14 105 17 21 23 123 26 36 30 32 141 35 55 39 41 96 44 54 64 48 50 78 53 57 59 132 62 72 66 68 114 71 109 75 77 80 99 118 84 86 89 108 127 93 95 98 136 102 104 107 111 113 116 135 120 122 125 144 129 131 134 138 140 143:3 4 4 3 4 4 3 4 4 3 4 4 3 4 3 4 3 4 3 4,12 3 3 3 3 12 3 3 3 3 12 12> {(0, 134): 'tau3^-1*t1^-1*tau2', (2, 117): 't3', (0, 60): 'tau3^-1', (2, 14): 't2', (0, 62): 't1', (0, 32): 'tau3', (0, 45): 't3^-1', (2, 5): 't3', (0, 34): 'tau3', (2, 41): 't2^-1', (1, 93): 't2', (0, 24): 'tau2^-1', (1, 75): 't3', (0, 59): 'tau3^-1', (0, 36): 't2^-1', (1, 84): 't3^-1', (0, 124): 'tau2^-1', (2, 107): 'tau1', (0, 61): 'tau3^-1', (0, 9): 't2', (2, 116): 't3^-1*tau1*t2', (2, 125): 't3*tau1^-1*t2^-1', (2, 108): 't3^-1', (2, 98): 'tau1^-1', (2, 50): 't3^-1', (0, 33): 'tau3', (2, 126): 't2^-1', (0, 23): 'tau2^-1', (0, 0): 't3', (0, 35): 't1^-1', (0, 25): 'tau2^-1', (0, 143): 'tau3*t1*tau2^-1', (1, 102): 't2^-1', (2, 99): 't2^-1', (0, 123): 'tau2^-1', (0, 122): 'tau2^-1', }