U-tiling: UQC1750
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1308 |
*22222 |
(2,5,4) |
{7,3} |
{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
|
|
sqc9640
|
|
P4/mmm |
123 |
tetragonal |
{3,7} |
16 |
(2,5) |
|
G
|
False
|
|
sqc9650
|
|
I4122 |
98 |
tetragonal |
{3,7} |
16 |
(2,6) |
|
D
|
False
|
|
sqc3723
|
|
P4222 |
93 |
tetragonal |
{7,3} |
8 |
(2,5) |
Topological data
| Vertex degrees | {7,3} |
| 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
<55.1:160:41 4 5 46 47 98 99 30 51 14 15 56 57 78 79 40 61 24 25 66 67 118 119 81 34 35 86 87 108 109 44 45 138 139 70 54 55 128 129 90 64 65 158 159 121 74 75 126 127 110 84 85 148 149 131 94 95 136 137 120 141 104 105 146 147 151 114 115 156 157 124 125 150 134 135 160 144 145 154 155,2 23 6 15 8 10 12 33 16 18 20 22 26 35 28 30 32 36 38 40 42 63 46 75 48 50 52 83 56 95 58 60 62 66 105 68 70 72 103 76 78 80 82 86 115 88 90 92 113 96 98 100 102 106 108 110 112 116 118 120 122 143 126 135 128 130 132 153 136 138 140 142 146 155 148 150 152 156 158 160,21 3 5 7 9 20 31 13 15 17 19 23 25 27 29 40 33 35 37 39 61 43 45 47 49 80 81 53 55 57 59 100 63 65 67 69 110 101 73 75 77 79 83 85 87 89 120 111 93 95 97 99 103 105 107 109 113 115 117 119 141 123 125 127 129 140 151 133 135 137 139 143 145 147 149 160 153 155 157 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 7 3 7 3 7 3 7 7 3 7 3 3 7 3 7> {(1, 34): 't1', (2, 150): 't1^-1*tau3^-1*t2', (0, 29): 't1^-1', (0, 115): 't1', (2, 149): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 159): 'tau2^-1*t3^-1', (1, 112): 'tau3^-1*t2', (2, 109): 'tau2', (0, 148): 't1', (2, 140): 'tau2*t3', (2, 49): 't3', (1, 104): 'tau2', (0, 150): 't1^-1', (1, 124): 'tau1^-1', (2, 100): 'tau2*t3', (2, 30): 't1', (0, 59): 't2*tau3^-1', (0, 36): 't1', (1, 84): 'tau3', (0, 156): 't1^-1', (0, 27): 't1^-1', (2, 59): 't2', (0, 147): 't1', (0, 28): 't1^-1', (1, 122): 't3^-1*tau2^-1', (2, 110): 'tau3^-1*t2', (0, 149): 't1*tau3*t2^-1', (0, 30): 't1', (1, 72): 't3^-1*tau2^-1', (2, 39): 't1', (1, 154): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 139): 'tau1', (0, 35): 't1', (2, 119): 'tau3^-1', (1, 74): 't3^-1', (1, 32): 't1', (1, 152): 't1^-1*tau3^-1*t2', (1, 94): 't2^-1', (0, 49): 't3*tau2', }