U-tiling: UQC3923
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1112 |
*22222 |
(3,5,2) |
{3,8,4} |
{6.3.6}{6.6.3.3.6.6.3.3}{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
|
|
sqc240
|
|
Pmmm |
47 |
orthorhombic |
{3,8,4} |
4 |
(3,5) |
|
G
|
False
|
|
sqc8860
|
|
Fddd |
70 |
orthorhombic |
{3,8,4} |
16 |
(3,6) |
|
D
|
False
|
|
sqc2912
|
|
Cmma |
67 |
orthorhombic |
{8,4,3} |
8 |
(3,5) |
Topological data
| Vertex degrees | {3,8,4} |
| 2D vertex symbol | {6.3.6}{6.6.3.3.6.6.3.3}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<40.1:144:19 3 5 87 8 27 28 12 14 105 17 36 21 23 123 26 30 32 141 35 55 39 41 96 44 63 64 48 50 78 53 72 57 59 132 62 66 68 114 71 109 75 77 80 117 118 84 86 89 126 127 93 95 98 135 136 102 104 107 144 111 113 116 120 122 125 129 131 134 138 140 143,2 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 99 101 106 105 108 110 115 114 117 119 124 123 126 128 133 132 135 137 142 141 144,82 4 5 78 43 44 18 100 13 14 96 52 53 118 22 23 114 61 62 36 136 31 32 132 70 71 91 40 41 105 54 73 49 50 87 127 58 59 141 72 109 67 68 123 76 77 106 107 99 85 86 97 98 108 94 95 103 104 112 113 142 143 135 121 122 133 134 144 130 131 139 140:6 3 6 3 3 3 6 3 6 3 3 3 6 6 6 6,3 8 4 3 8 3 8 4 3 8 3 3 3 3 4 4> {(2, 60): 't1', (2, 61): 't1', (2, 59): 'tau3^-1', (0, 50): 't3^-1', (0, 86): 't3^-1', (2, 45): 't3^-1', (0, 41): 't2^-1', (2, 36): 't2^-1', (2, 32): 'tau3', (2, 33): 't1^-1', (2, 34): 't1^-1', (1, 102): 't2^-1', (1, 93): 't2', (2, 23): 'tau2^-1', (1, 84): 't3^-1', (2, 141): 'tau3*t1*tau2^-1', (1, 75): 't3', (2, 143): 't2*tau1*t3^-1', (0, 14): 't2', (2, 9): 't2', (2, 132): 'tau3^-1*t1^-1*tau2', (2, 133): 'tau3^-1*t1^-1*tau2', (2, 134): 't2^-1*tau1^-1*t3', (2, 0): 't3', (0, 135): 't2', (0, 126): 't2^-1', (2, 122): 'tau2^-1', (0, 125): 't3', (0, 116): 't3^-1', (0, 117): 't3', (0, 107): 't2^-1', (0, 108): 't3^-1', (2, 107): 'tau1', (0, 98): 't2', (2, 80): 'tau1', (2, 142): 'tau3*t1*tau2^-1'}