U-tiling: UQC4969
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1821 |
*2244 |
(4,5,2) |
{16,3,8,4} |
{3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3... |
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
|
|
sqc9947
|
|
P42/mmc |
131 |
tetragonal |
{14,3,8,4} |
16 |
(4,5) |
|
G
|
False
|
|
sqc10176
|
|
I-42d |
122 |
tetragonal |
{16,3,8,4} |
16 |
(4,6) |
|
D
|
False
|
|
sqc4022
|
|
P-42m |
111 |
tetragonal |
{3,4,8,16} |
8 |
(4,5) |
Topological data
| Vertex degrees | {16,3,8,4} |
| 2D vertex symbol | {3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:176:89 3 5 7 9 11 100 14 16 18 20 22 111 25 27 29 31 33 122 36 38 40 42 44 133 47 49 51 53 55 144 58 60 62 64 66 155 69 71 73 75 77 166 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176,2 91 6 11 8 10 13 102 17 22 19 21 24 113 28 33 30 32 35 124 39 44 41 43 46 135 50 55 52 54 57 146 61 66 63 65 68 157 72 77 74 76 79 168 83 88 85 87 90 94 99 96 98 101 105 110 107 109 112 116 121 118 120 123 127 132 129 131 134 138 143 140 142 145 149 154 151 153 156 160 165 162 164 167 171 176 173 175,12 4 5 28 29 74 75 98 99 15 16 39 40 85 86 109 110 45 26 27 41 42 120 121 56 37 38 131 132 48 49 72 73 63 64 142 143 59 60 83 84 153 154 78 70 71 164 165 81 82 175 176 100 92 93 116 117 162 163 103 104 127 128 173 174 133 114 115 129 130 144 125 126 136 137 160 161 151 152 147 148 171 172 166 158 159 169 170:3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4 4 4 4 4 4 4 4 4,16 3 8 4 3 4 3 4 3 3 4 3 3 3 16 8> {(2, 60): 't3*tau2*t3', (2, 61): 't3*tau2*t3', (2, 126): 'tau3^-1', (2, 159): 'tau1^-1', (2, 127): 'tau3^-1', (2, 116): 't2^-1', (2, 55): 't3*tau2*t1^-1', (2, 49): 't3', (2, 50): 't3', (2, 19): 't1^-1*tau2*t3', (2, 172): 't3^-1*tau2^-1*t1', (2, 173): 't3^-1*tau2^-1*t1', (2, 143): 't3*tau2*t1^-1', (2, 18): 't1^-1*tau2*t3', (2, 170): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 171): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 38): 't1', (2, 39): 't1', (2, 160): 'tau1^-1', (2, 115): 't2^-1'}