U-tiling: UQC1285
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1419 |
*22222 |
(2,6,3) |
{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
|
|
sqc9383
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
16 |
(2,6) |
G
|
False
|
|
sqc9384
|
|
I4122 |
98 |
tetragonal |
{6,4} |
16 |
(2,7) |
D
|
False
|
|
sqc3241
|
|
P4222 |
93 |
tetragonal |
{6,4} |
8 |
(2,6) |
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
<50.1:160:41 4 5 46 27 28 29 20 51 14 15 56 37 38 39 61 24 25 66 40 81 34 35 86 44 45 67 68 69 80 54 55 87 88 89 100 64 65 110 121 74 75 126 107 108 109 84 85 120 131 94 95 136 117 118 119 141 104 105 146 151 114 115 156 124 125 147 148 149 140 134 135 157 158 159 144 145 160 154 155,2 8 6 7 10 12 18 16 17 20 22 28 26 27 30 32 38 36 37 40 42 48 46 47 50 52 58 56 57 60 62 68 66 67 70 72 78 76 77 80 82 88 86 87 90 92 98 96 97 100 102 108 106 107 110 112 118 116 117 120 122 128 126 127 130 132 138 136 137 140 142 148 146 147 150 152 158 156 157 160,21 3 5 96 97 9 30 31 13 15 76 77 19 40 23 25 116 117 29 33 35 106 107 39 61 43 45 136 137 49 70 81 53 55 126 127 59 90 63 65 156 157 69 101 73 75 79 110 83 85 146 147 89 111 93 95 99 120 103 105 109 113 115 119 141 123 125 129 150 151 133 135 139 160 143 145 149 153 155 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,6 4 6 4 4 4 6 4 6 4 4 6 4 6 6 6> {(0, 39): 't1', (2, 150): 't1^-1*tau3^-1*t2', (0, 115): 't1', (0, 146): 't1*tau3*t2^-1', (2, 25): 't1^-1', (0, 8): 't1', (2, 86): 't1^-1', (2, 120): 't3^-1*tau2^-1', (2, 109): 'tau2*t3', (0, 148): 't1*tau3*t2^-1', (0, 138): 't3*tau2', (0, 119): 'tau3^-1', (0, 109): 'tau2', (0, 150): 't1^-1', (0, 57): 't2*tau3^-1', (2, 100): 'tau2*t3', (0, 47): 't3*tau2', (2, 30): 't1', (0, 59): 't2', (0, 26): 't1^-1', (2, 129): 't3^-1*tau2^-1', (0, 48): 't3*tau2', (0, 147): 't1*tau3*t2^-1', (2, 26): 't1^-1', (0, 137): 't3*tau2', (2, 110): 'tau3^-1*t2', (0, 30): 't1', (0, 139): 'tau1', (2, 39): 't1', (2, 145): 't1', (0, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 35): 't1', (2, 159): 't1^-1*tau3^-1*t2', (0, 136): 't3*tau2', (0, 56): 't2*tau3^-1', (2, 99): 't2^-1*tau3', (0, 46): 't3*tau2', (0, 27): 't1^-1', (0, 49): 't3', (0, 58): 't2*tau3^-1', }