U-tiling: UQC4649
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc138 |
*2224 |
(2,3,2) |
{3,4} |
{4.8.8}{8.8.8.8} |
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
|
|
sqc9299
|
|
P4/mmm |
123 |
tetragonal |
{3,3,3,4} |
24 |
(4,5) |
G
|
False
|
|
sqc9630
|
|
I4122 |
98 |
tetragonal |
{4,3,3,4} |
24 |
(4,6) |
D
|
False
|
|
sqc3279
|
|
P4222 |
93 |
tetragonal |
{4,3,3,4} |
12 |
(4,5) |
Topological data
Vertex degrees | {4,3,3,4} |
2D vertex symbol | {8.8.8.8}{8.4.8}{8.8.4}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<60.2:160:41 3 5 7 9 50 51 13 15 17 19 60 61 23 25 27 29 70 81 33 35 37 39 90 43 45 47 49 53 55 57 59 63 65 67 69 121 73 75 77 79 130 83 85 87 89 131 93 95 97 99 140 141 103 105 107 109 150 151 113 115 117 119 160 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159,2 4 8 26 17 10 12 14 18 36 20 22 24 28 37 30 32 34 38 40 42 44 48 66 77 50 52 54 58 86 97 60 62 64 68 107 70 72 74 78 106 80 82 84 88 117 90 92 94 98 116 100 102 104 108 110 112 114 118 120 122 124 128 146 137 130 132 134 138 156 140 142 144 148 157 150 152 154 158 160,91 22 23 6 7 18 19 30 71 32 33 16 17 40 111 26 27 38 39 101 36 37 131 62 63 46 47 78 79 70 121 82 83 56 57 98 99 90 151 66 67 108 109 102 103 76 77 110 141 86 87 118 119 112 113 96 97 120 106 107 116 117 142 143 126 127 138 139 150 152 153 136 137 160 146 147 158 159 156 157:8 4 8 8 8 4 4 8 8 8 8 4,4 3 3 4 4 3 3 4 3 3 4 4 3 3 4 3 3 3 3 3 3 4 3 3> {(2, 61): 'tau2^-1*t3^-1', (2, 62): 'tau2^-1*t3^-1', (1, 125): 't2*tau3^-1*t1^-1', (2, 57): 't2', (2, 58): 't2', (1, 126): 'tau1^-1', (2, 52): 't2*tau3^-1', (0, 150): 't1^-1', (2, 107): 'tau2', (2, 48): 't3', (1, 116): 'tau3^-1', (2, 51): 't2*tau3^-1', (1, 106): 'tau2', (2, 37): 't1', (1, 96): 't2^-1', (2, 38): 't1', (2, 39): 't1', (0, 39): 't1', (2, 157): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 158): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 159): 't1^-1*tau3^-1*t2', (0, 30): 't1', (2, 20): 't1^-1', (2, 149): 'tau2*t3', (2, 22): 't1^-1', (2, 151): 'tau2^-1*t3^-1', (1, 85): 'tau3*t2^-1', (2, 140): 't1', (2, 141): 't1*tau3*t2^-1', (2, 142): 't1*tau3*t2^-1', (2, 137): 'tau1', (2, 138): 'tau1', (2, 132): 't3*tau2', (2, 117): 'tau3^-1', (2, 118): 'tau3^-1', (2, 119): 'tau3^-1*t2', (0, 119): 't1', (2, 108): 'tau2', (2, 109): 'tau2*t3', (1, 45): 't3*tau2', (1, 46): 't3', (1, 25): 't1^-1', (1, 155): 'tau2^-1*t3^-1', (1, 26): 't1^-1', (1, 156): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 47): 't3', (2, 21): 't1^-1'}