U-tiling: UQC4877
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1782 |
*22222 |
(4,6,2) |
{3,4,4,4} |
{6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} |
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
|
|
sqc10671
|
|
P4/mmm |
123 |
tetragonal |
{3,4,4,4} |
24 |
(4,6) |
G
|
False
|
|
sqc10674
|
|
I4122 |
98 |
tetragonal |
{3,4,4,4} |
24 |
(4,7) |
D
|
False
|
|
sqc4515
|
|
P4222 |
93 |
tetragonal |
{3,4,4,4} |
12 |
(4,6) |
Topological data
Vertex degrees | {3,4,4,4} |
2D vertex symbol | {6.5.6}{6.6.5.5}{5.5.5.5}{6.6.6.6} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<65.2:176:45 3 5 7 107 10 55 56 14 16 18 85 21 66 67 25 27 29 129 32 77 89 36 38 40 118 43 99 47 49 51 151 54 58 60 62 140 65 69 71 73 173 76 133 80 82 84 87 143 91 93 95 162 98 144 102 104 106 109 154 155 113 115 117 120 165 166 124 126 128 131 176 135 137 139 142 146 148 150 153 157 159 161 164 168 170 172 175,2 9 103 6 8 11 13 20 81 17 19 22 24 31 125 28 30 33 35 42 114 39 41 44 46 53 147 50 52 55 57 64 136 61 63 66 68 75 169 72 74 77 79 86 83 85 88 90 97 158 94 96 99 101 108 105 107 110 112 119 116 118 121 123 130 127 129 132 134 141 138 140 143 145 152 149 151 154 156 163 160 162 165 167 174 171 173 176,100 4 5 17 18 30 20 21 33 78 15 16 41 44 122 26 27 39 40 42 43 111 37 38 144 48 49 83 84 74 86 87 77 133 59 60 105 106 96 108 109 99 166 70 71 116 117 119 120 81 82 118 121 155 92 93 127 128 130 131 103 104 129 132 114 115 125 126 136 137 149 150 162 152 153 165 147 148 173 176 158 159 171 172 174 175 169 170:6 5 6 5 6 5 6 5 5 5 5 6 5 6 6 6,3 4 4 4 3 3 4 3 3 4 4 4 3 4 4 4 3 4 3 4 4 4 4 4> {(2, 60): 't2', (2, 61): 't2', (2, 62): 't2*tau3^-1', (2, 63): 't2', (1, 124): 't1', (2, 52): 't3', (2, 53): 't3', (2, 43): 't1', (2, 49): 't3', (2, 50): 't3', (2, 51): 't3*tau2', (2, 172): 'tau2^-1*t3^-1', (0, 43): 't1', (2, 174): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 175): 't1^-1*tau3^-1*t2', (2, 41): 't1', (2, 170): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 171): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 164): 'tau2*t3', (2, 38): 't1', (0, 33): 't1', (2, 161): 't1*tau3*t2^-1', (2, 162): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 29): 't1^-1', (1, 91): 't1^-1', (2, 39): 't1', (2, 152): 'tau1', (2, 154): 't1', (0, 29): 't1^-1', (2, 148): 'tau1', (2, 149): 'tau1', (2, 22): 't1^-1', (2, 151): 'tau1', (2, 42): 't1', (0, 131): 't1', (2, 129): 'tau3^-1', (2, 130): 'tau3^-1', (2, 131): 'tau3^-1*t2', (2, 126): 'tau3^-1', (0, 121): 't1', (2, 120): 'tau2*t3', (2, 116): 'tau2', (2, 118): 'tau2', (2, 119): 'tau2', (2, 115): 'tau2', (2, 108): 't2^-1', (0, 95): 't1^-1', (2, 127): 'tau3^-1'}