U-tiling: UQC4617
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc8 |
*245 |
(1,1,1) |
{4} |
{5.5.5.5} |
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
|
|
sqc9298
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,4} |
20 |
(4,5) |
|
G
|
False
|
|
sqc9613
|
|
I4122 |
98 |
tetragonal |
{4,4,4,4} |
20 |
(4,6) |
|
D
|
False
|
|
sqc3875
|
|
P4222 |
93 |
tetragonal |
{4,4,4,4} |
10 |
(4,5) |
Topological data
| Vertex degrees | {4,4,4,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<58.1:160:21 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 99 103 105 107 109 113 115 117 119 141 123 125 127 129 140 151 133 135 137 139 143 145 147 149 160 153 155 157 159,2 4 25 8 17 10 12 14 35 18 20 22 24 28 37 30 32 34 38 40 42 44 65 48 77 50 52 54 85 58 97 60 62 64 68 107 70 72 74 105 78 80 82 84 88 117 90 92 94 115 98 100 102 104 108 110 112 114 118 120 122 124 145 128 137 130 132 134 155 138 140 142 144 148 157 150 152 154 158 160,41 92 93 6 7 98 99 30 51 72 73 16 17 78 79 40 61 112 113 26 27 118 119 81 102 103 36 37 108 109 132 133 46 47 138 139 70 122 123 56 57 128 129 90 152 153 66 67 158 159 121 76 77 110 142 143 86 87 148 149 131 96 97 120 141 106 107 151 116 117 126 127 150 136 137 160 146 147 156 157:5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5,4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 59): 't2', (1, 124): 't3^-1*tau2^-1', (2, 59): 't2*tau3^-1', (0, 49): 't3', (2, 49): 't3*tau2', (1, 104): 'tau2*t3', (1, 106): 'tau2', (2, 147): 't1', (1, 96): 't2^-1', (0, 149): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 39): 't1', (2, 28): 't1^-1', (2, 29): 't1^-1', (2, 30): 't1', (2, 159): 'tau2^-1*t3^-1', (0, 30): 't1', (1, 94): 't2^-1*tau3', (2, 148): 't1', (2, 21): 't1^-1', (2, 22): 't1^-1', (1, 126): 'tau1^-1', (0, 150): 't1^-1*tau3^-1*t2', (2, 27): 't1^-1', (1, 86): 'tau3', (0, 139): 'tau1', (2, 142): 't1', (1, 76): 't3^-1', (0, 140): 'tau2*t3', (2, 129): 't2*tau3^-1*t1^-1', (0, 119): 'tau3^-1', (2, 110): 't1', (0, 110): 'tau3^-1*t2', (2, 141): 't1', (0, 109): 'tau2', (1, 36): 't1', (0, 100): 'tau2*t3', (1, 154): 't1^-1*tau3^-1*t2', (1, 146): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 14): 't1^-1'}