U-tiling: UQC1233
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
|
|
sqc102
|
|
Pmmm |
47 |
orthorhombic |
{10,3} |
3 |
(2,5) |
|
G
|
False
|
|
sqc8474
|
|
Fddd |
70 |
orthorhombic |
{12,3} |
12 |
(2,6) |
|
D
|
False
|
|
sqc2542
|
|
Cmma |
67 |
orthorhombic |
{12,3} |
6 |
(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
<43.3:144:37 4 5 15 16 17 27 46 13 14 36 55 22 23 33 34 35 64 31 32 40 41 51 52 53 63 49 50 72 58 59 69 70 71 67 68 100 76 77 96 97 98 117 91 85 86 105 106 107 126 94 95 135 103 104 144 136 112 113 132 133 134 127 121 122 141 142 143 130 131 139 140,2 7 40 6 9 11 16 49 15 18 20 25 58 24 27 29 34 67 33 36 38 43 42 45 47 52 51 54 56 61 60 63 65 70 69 72 74 79 103 78 81 83 88 94 87 90 92 97 96 99 101 106 105 108 110 115 139 114 117 119 124 130 123 126 128 133 132 135 137 142 141 144,73 3 5 42 8 90 91 12 14 51 17 108 109 21 23 60 26 126 127 30 32 69 35 144 100 39 41 44 99 82 48 50 53 81 136 57 59 62 135 118 66 68 71 117 75 77 105 80 84 86 96 89 93 95 98 102 104 107 111 113 141 116 120 122 132 125 129 131 134 138 140 143:3 4 4 3 3 4 3 4 4 4 3 4 4 3 4 4 3 4 3 4,12 3 12 3 12 3 12 3 3 3 3 3> {(0, 80): 't3', (2, 27): 'tau3', (0, 134): 't2^-1', (2, 53): 't3^-1', (1, 57): 't1', (0, 105): 'tau1', (0, 95): 'tau1^-1', (0, 126): 'tau3^-1*t1^-1*tau2', (0, 107): 't2^-1', (2, 59): 't1', (2, 18): 'tau2^-1', (0, 125): 't3', (0, 131): 't2^-1*tau1^-1*t3', (0, 140): 't2*tau1*t3^-1', (2, 63): 'tau2', (2, 131): 'tau3^-1*t1^-1*tau2', (1, 111): 'tau2*t1^-1*tau3^-1', (0, 133): 't2^-1*tau1^-1*t3', (0, 124): 't3*tau1^-1*t2^-1', (0, 135): 'tau3*t1*tau2^-1', (2, 54): 'tau3^-1', (1, 120): 'tau2^-1*t1*tau3', (2, 32): 't1^-1', (0, 96): 'tau1^-1', (0, 63): 't1', (0, 104): 'tau1', (2, 44): 't2^-1', (2, 17): 't2', (0, 141): 't2*tau1*t3^-1', (0, 54): 't1', (2, 140): 'tau3*t1*tau2^-1', (2, 8): 't3', (0, 79): 'tau1', (1, 30): 't1^-1', (0, 132): 't2^-1*tau1^-1*t3', (0, 106): 'tau1', }