U-tiling: UQC3261
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1263 |
*22222 |
(2,6,4) |
{6,4} |
{4.4.4.4.4.4}{4.4.4.4} |
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
|
|
sqc9535
|
|
Cmma |
67 |
orthorhombic |
{4,6} |
16 |
(2,9) |
G
|
False
|
|
sqc9534
|
|
C2/c |
15 |
monoclinic |
{4,4,6,6} |
16 |
(4,10) |
D
|
False
|
|
sqc9670
|
|
Imma |
74 |
orthorhombic |
{4,6} |
16 |
(2,9) |
Topological data
Vertex degrees | {6,4} |
2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:160:21 22 43 44 85 86 9 10 91 92 113 114 95 96 57 58 39 40 63 64 125 126 29 30 131 132 153 154 135 136 77 78 61 62 145 146 49 50 151 152 133 134 155 156 79 80 105 106 69 70 111 112 93 94 115 116 121 122 143 144 89 90 157 158 139 140 141 142 123 124 109 110 137 138 159 160 129 130 149 150,3 8 5 7 11 20 13 15 17 19 23 28 25 27 31 40 33 35 37 39 43 48 45 47 51 60 53 55 57 59 63 68 65 67 71 80 73 75 77 79 83 88 85 87 91 100 93 95 97 99 103 108 105 107 111 120 113 115 117 119 123 128 125 127 131 140 133 135 137 139 143 148 145 147 151 160 153 155 157 159,2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6> {(0, 51): 'tau3^-1*t2', (0, 124): 't2*tau3^-1', (0, 31): 'tau3*t2^-1', (0, 11): 'tau2^-1*t3^-1', (0, 53): 't2^-1', (0, 62): 't1', (0, 43): 't1', (0, 65): 'tau2*t3', (0, 10): 'tau2^-1*t3^-1', (0, 119): 'tau1^-1', (0, 32): 't2', (0, 45): 'tau3^-1*t2', (0, 12): 't3', (0, 121): 'tau1^-1', (0, 5): 'tau2^-1*t3^-1', (0, 142): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 123): 't2*tau3^-1*t1^-1*tau2*t3', (0, 138): 'tau1^-1', (0, 71): 'tau2*t3', (0, 125): 't2*tau3^-1', (0, 110): 't3^-1*tau2^-1', (0, 92): 't3', (0, 73): 't3^-1', (0, 50): 'tau3^-1*t2', (0, 104): 't3^-1*tau2^-1', (0, 30): 'tau3*t2^-1', (0, 139): 'tau1^-1', (0, 52): 't2^-1', (0, 33): 't2', (0, 42): 't1', (0, 23): 't1^-1', (0, 13): 't3', (0, 118): 'tau1^-1', (0, 44): 'tau3^-1*t2', (0, 143): 't2^-1*tau3*t1*tau2^-1*t3^-1', (0, 120): 'tau1^-1', (0, 101): 'tau1^-1', (0, 122): 't2*tau3^-1*t1^-1*tau2*t3', (0, 4): 'tau2^-1*t3^-1', (0, 140): 'tau1', }