U-tiling: UQC4037
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1130 |
*22222 |
(3,5,2) |
{4,4,3} |
{10.10.10.10}{10.4.4.10}{10.4.4} |
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
|
|
sqc2852
|
|
Fmmm |
69 |
orthorhombic |
{4,3,4} |
10 |
(3,5) |
|
G
|
False
|
|
sqc8819
|
|
Fddd |
70 |
orthorhombic |
{4,4,3} |
20 |
(3,6) |
|
D
|
False
|
|
sqc301
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3} |
5 |
(3,5) |
Topological data
| Vertex degrees | {4,4,3} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<47.4:144:37 3 5 7 89 90 46 12 14 16 107 108 55 21 23 25 125 126 64 30 32 34 143 144 39 41 43 98 99 48 50 52 80 81 57 59 61 134 135 66 68 70 116 117 100 75 77 79 91 84 86 88 93 95 97 102 104 106 136 111 113 115 127 120 122 124 129 131 133 138 140 142,2 4 77 8 9 11 13 95 17 18 20 22 113 26 27 29 31 131 35 36 38 40 104 44 45 47 49 86 53 54 56 58 140 62 63 65 67 122 71 72 74 76 80 81 83 85 89 90 92 94 98 99 101 103 107 108 110 112 116 117 119 121 125 126 128 130 134 135 137 139 143 144,10 20 21 6 7 26 81 29 30 15 16 35 99 28 24 25 117 33 34 135 46 56 57 42 43 62 108 65 66 51 52 71 90 64 60 61 144 69 70 126 91 110 111 78 79 116 100 119 120 87 88 125 128 129 96 97 134 137 138 105 106 143 127 114 115 136 123 124 132 133 141 142:10 4 10 4 10 4 10 4 4 4 4 4,4 4 3 4 3 3 3 4 4 3 4 3 3 3 4 4 4 4 4 4> {(1, 121): 'tau2^-1', (2, 62): 'tau3^-1', (0, 63): 't1', (1, 112): 'tau2', (0, 54): 't1', (0, 52): 't3^-1', (0, 53): 't3^-1', (0, 43): 't2^-1', (1, 58): 'tau3^-1', (0, 44): 't2^-1', (2, 35): 'tau3', (2, 26): 'tau2^-1', (0, 16): 't2', (0, 17): 't2', (2, 142): 't2', (0, 8): 't3', (2, 136): 't2', (2, 137): 't2', (2, 135): 't2*tau1*t3^-1', (2, 128): 't2^-1', (0, 7): 't3', (2, 124): 't3', (2, 126): 't2^-1*tau1^-1*t3', (2, 127): 't2^-1', (0, 126): 'tau3^-1*t1^-1*tau2', (2, 118): 't3', (2, 119): 't3', (2, 115): 't3^-1', (2, 109): 't3^-1', (2, 110): 't3^-1', (2, 97): 't2', (2, 99): 'tau1', (1, 31): 'tau3', (2, 90): 'tau1^-1', (0, 135): 'tau3*t1*tau2^-1', (2, 71): 'tau2'}