U-tiling: UQC1288
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc1419.jpg) |
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
|
|
sqc9772
|
|
P4/mmm |
123 |
tetragonal |
{6,4} |
16 |
(2,6) |
G
|
False
|
|
sqc9775
|
|
I4122 |
98 |
tetragonal |
{6,4} |
16 |
(2,7) |
D
|
False
|
|
sqc3762
|
|
P4222 |
93 |
tetragonal |
{4,6} |
8 |
(2,6) |
Topological data
Vertex degrees | {6,4} |
2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222a_FSGG_50_2_0.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<50.2:160:91 4 5 96 17 18 19 30 71 14 15 76 40 111 24 25 116 37 38 39 101 34 35 106 131 44 45 136 77 78 79 70 121 54 55 126 97 98 99 90 151 64 65 156 107 108 109 74 75 110 141 84 85 146 117 118 119 94 95 120 104 105 114 115 124 125 137 138 139 150 134 135 160 144 145 157 158 159 154 155,2 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 97 100 102 108 106 107 110 112 118 116 117 120 122 128 126 127 130 132 138 136 137 140 142 148 146 147 150 152 158 156 157 160,41 3 5 26 27 9 50 51 13 15 36 37 19 60 61 23 25 29 70 81 33 35 39 90 43 45 66 67 49 53 55 86 87 59 63 65 69 121 73 75 106 107 79 130 83 85 89 131 93 95 116 117 99 140 141 103 105 109 150 151 113 115 119 160 123 125 146 147 129 133 135 156 157 139 143 145 149 153 155 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,6 4 6 4 6 6 4 4 6 4 6 4 6 6 4 4> {(2, 155): 'tau2^-1*t3^-1', (0, 146): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (0, 117): 'tau3^-1', (2, 56): 't2*tau3^-1', (0, 140): 't1', (0, 48): 't3', (0, 137): 'tau1', (0, 118): 'tau3^-1', (0, 56): 't2', (2, 55): 't2*tau3^-1', (0, 39): 't1', (2, 25): 't1^-1', (2, 45): 't3*tau2', (0, 20): 't1^-1', (0, 138): 'tau1', (0, 109): 'tau2*t3', (0, 47): 't3', (2, 30): 't1', (2, 136): 't3*tau2', (0, 149): 'tau2*t3', (0, 116): 'tau3^-1', (2, 39): 't1', (0, 25): 't1^-1', (2, 126): 't2*tau3^-1*t1^-1', (0, 37): 't1', (0, 157): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 136): 'tau1', (0, 107): 'tau2', (0, 38): 't1', (2, 110): 't1', (0, 158): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (0, 108): 'tau2', (0, 46): 't3', (0, 119): 'tau3^-1*t2', (0, 57): 't2', (2, 125): 't2*tau3^-1*t1^-1', (0, 36): 't1', (0, 145): 't1', (2, 26): 't1^-1', (2, 46): 't3*tau2', (0, 139): 't2^-1*tau3*t1', (0, 106): 'tau2', (2, 119): 't1', (0, 58): 't2', }