U-tiling: UQC1821
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc113 |
*2224 |
(2,3,2) |
{8,4} |
{4.3.3.4.4.3.3.4}{3.3.3.3} |
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
|
True
|
|
sqc8420
|
|
P4/mmm |
123 |
tetragonal |
{7,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc9369
|
|
I4122 |
98 |
tetragonal |
{8,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc3201
|
|
P4222 |
93 |
tetragonal |
{8,4} |
6 |
(2,5) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {4.3.3.4.4.3.3.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<60.1:160:41 92 93 6 7 28 29 20 51 72 73 16 17 38 39 61 112 113 26 27 40 81 102 103 36 37 132 133 46 47 68 69 80 122 123 56 57 88 89 100 152 153 66 67 110 121 76 77 108 109 142 143 86 87 120 131 96 97 118 119 141 106 107 151 116 117 126 127 148 149 140 136 137 158 159 146 147 160 156 157,2 4 8 96 27 10 12 14 18 76 37 20 22 24 28 116 30 32 34 38 106 40 42 44 48 136 67 50 52 54 58 126 87 60 62 64 68 156 70 72 74 78 107 80 82 84 88 146 90 92 94 98 117 100 102 104 108 110 112 114 118 120 122 124 128 147 130 132 134 138 157 140 142 144 148 150 152 154 158 160,21 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 81 53 55 57 59 90 63 65 67 69 101 73 75 77 79 110 83 85 87 89 111 93 95 97 99 120 103 105 107 109 113 115 117 119 141 123 125 127 129 150 151 133 135 137 139 160 143 145 147 149 153 155 157 159:4 3 3 4 4 3 3 4 3 4 3 3 3 4 3 3 4 3 3 3 3 3 4 3,8 4 8 4 8 4 8 4 8 8 8 8> {(0, 39): 't1', (1, 85): 't1^-1', (2, 150): 't1^-1*tau3^-1*t2', (0, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 109): 'tau2*t3', (2, 120): 't3^-1*tau2^-1', (1, 46): 't3*tau2', (0, 148): 't1*tau3*t2^-1', (0, 138): 't3*tau2', (0, 119): 'tau3^-1', (0, 109): 'tau2', (0, 22): 't1^-1', (0, 57): 't2*tau3^-1', (2, 100): 'tau2*t3', (0, 47): 't3*tau2', (2, 30): 't1', (0, 142): 't1', (0, 59): 't2', (2, 129): 't3^-1*tau2^-1', (0, 48): 't3*tau2', (0, 147): 't1*tau3*t2^-1', (0, 28): 't1^-1', (0, 137): 't3*tau2', (1, 86): 'tau3*t2^-1', (2, 110): 'tau3^-1*t2', (0, 21): 't1^-1', (0, 30): 't1', (0, 139): 'tau1', (1, 136): 't3*tau2', (2, 39): 't1', (1, 146): 't1*tau3*t2^-1', (1, 26): 't1^-1', (0, 141): 't1', (1, 115): 't1', (2, 119): 'tau3^-1*t2', (2, 159): 't1^-1*tau3^-1*t2', (0, 110): 't1', (0, 27): 't1^-1', (0, 49): 't3', (0, 58): 't2*tau3^-1', }