U-tiling: UQC4632
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1494 |
*22222 |
(4,5,2) |
{4,4,3,3} |
{8.8.8.8}{8.8.8.8}{8.4.8}{8.8.4} |
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
|
|
sqc458
|
|
Pmmm |
47 |
orthorhombic |
{4,4,3,3} |
6 |
(4,5) |
G
|
False
|
|
sqc9855
|
|
Fddd |
70 |
orthorhombic |
{4,4,3,3} |
24 |
(4,6) |
D
|
False
|
|
sqc3830
|
|
Cmma |
67 |
orthorhombic |
{3,4,3,4} |
12 |
(4,5) |
Topological data
Vertex degrees | {4,4,3,3} |
2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.4.8}{8.8.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<59.1:160:21 3 5 7 9 30 31 13 15 17 19 40 23 25 27 29 33 35 37 39 61 43 45 47 49 70 71 53 55 57 59 80 63 65 67 69 73 75 77 79 121 83 85 87 89 130 131 93 95 97 99 140 141 103 105 107 109 150 151 113 115 117 119 160 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159,2 4 6 10 48 19 12 14 16 20 58 22 24 26 30 68 39 32 34 36 40 78 42 44 46 50 59 52 54 56 60 62 64 66 70 79 72 74 76 80 82 84 86 90 118 109 92 94 96 100 108 119 102 104 106 110 112 114 116 120 122 124 126 130 158 149 132 134 136 140 148 159 142 144 146 150 152 154 156 160,91 82 83 44 45 8 9 20 111 102 103 54 55 18 19 131 122 123 64 65 28 29 40 151 142 143 74 75 38 39 101 112 113 48 49 60 81 92 93 58 59 141 152 153 68 69 80 121 132 133 78 79 114 115 88 89 110 104 105 98 99 120 108 109 118 119 154 155 128 129 150 144 145 138 139 160 148 149 158 159:8 4 8 4 8 8 8 4 8 8 8 4,4 4 3 3 4 4 3 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3> {(2, 61): 'tau3^-1', (2, 62): 'tau3^-1', (1, 127): 'tau2*t1^-1*tau3^-1', (2, 144): 'tau3^-1*t1^-1*tau2', (2, 50): 't3^-1', (1, 118): 'tau1', (2, 40): 't2^-1', (1, 108): 'tau1^-1', (2, 32): 'tau3', (2, 33): 't1^-1', (2, 34): 't1^-1', (2, 31): 'tau3', (2, 24): 't1^-1', (2, 153): 'tau3*t1*tau2^-1', (2, 154): 'tau3*t1*tau2^-1', (2, 21): 'tau2^-1', (2, 22): 'tau2^-1', (2, 23): 't1^-1', (0, 150): 't2', (0, 149): 't2^-1', (2, 143): 'tau3^-1*t1^-1*tau2', (1, 77): 't1', (2, 10): 't2', (2, 139): 't3*tau1^-1*t2^-1', (0, 130): 't3', (1, 67): 't1', (2, 0): 't3', (2, 129): 't3^-1*tau1*t2', (2, 131): 'tau2^-1', (0, 120): 't3^-1', (0, 140): 't2^-1', (0, 119): 't2^-1', (2, 109): 'tau1^-1', (0, 99): 't3^-1', (2, 99): 'tau1^-1', (0, 89): 't3', (1, 148): 't2^-1*tau1^-1*t3', (1, 137): 'tau2^-1*t1*tau3', (1, 138): 't3*tau1^-1*t2^-1', (2, 72): 'tau2'}