U-tiling: UQC2472
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1689 |
*2244 |
(2,5,5) |
{8,3} |
{4.4.4.3.4.3.4.4}{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
|
False
|
|
sqc10206
|
|
P42/mmc |
131 |
tetragonal |
{3,8} |
16 |
(2,5) |
|
G
|
False
|
|
sqc10210
|
|
I-42d |
122 |
tetragonal |
{3,8} |
16 |
(2,6) |
|
D
|
False
|
|
sqc4284
|
|
P-42m |
111 |
tetragonal |
{3,8} |
8 |
(2,5) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.4.3.4.3.4.4}{4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<115.1:176:89 4 5 94 95 19 20 76 77 100 15 16 105 106 87 88 111 26 27 116 117 52 53 43 44 122 37 38 127 128 63 64 133 48 49 138 139 65 66 144 59 60 149 150 155 70 71 160 161 85 86 166 81 82 171 172 92 93 107 108 164 165 103 104 175 176 114 115 140 141 131 132 125 126 151 152 136 137 153 154 147 148 158 159 173 174 169 170,2 69 6 10 8 31 33 13 80 17 21 19 42 44 24 36 28 32 30 35 39 43 41 46 58 50 54 52 75 77 57 61 65 63 86 88 68 72 76 74 79 83 87 85 90 157 94 98 96 119 121 101 168 105 109 107 130 132 112 124 116 120 118 123 127 131 129 134 146 138 142 140 163 165 145 149 153 151 174 176 156 160 164 162 167 171 175 173,67 3 5 7 9 11 78 14 16 18 20 22 34 25 27 29 31 33 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 69 71 73 75 77 80 82 84 86 88 155 91 93 95 97 99 166 102 104 106 108 110 122 113 115 117 119 121 124 126 128 130 132 144 135 137 139 141 143 146 148 150 152 154 157 159 161 163 165 168 170 172 174 176:4 3 4 4 4 4 3 4 3 4 4 4 4 3 4 4 4 4 3 4 4 3 3 3,3 8 3 8 3 3 8 8 3 8 3 8 3 3 8 8> {(1, 162): 'tau1^-1', (1, 118): 't2^-1', (1, 87): 't3^-1*tau2^-1*t3^-1', (0, 62): 't3*tau2*t1^-1', (0, 150): 't3*tau2*t1^-1', (1, 76): 't3^-1', (0, 63): 't3*tau2*t1^-1', (1, 173): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 142): 'tau1', (0, 151): 't3*tau2*t1^-1', (2, 11): 't1^-1*tau2*t3', (2, 165): 't3^-1*tau2^-1*t1', (0, 108): 't1^-1*tau2*t3', (1, 107): 'tau3', (1, 41): 't1', (1, 85): 't3^-1*tau2^-1*t3^-1', (0, 20): 't1^-1*tau2*t3', (1, 79): 't3^-1*tau2^-1*t1', (1, 101): 't1^-1*tau2*t3', (0, 175): 't3^-1*tau2^-1*t1', (1, 120): 't2^-1', (1, 109): 'tau3', (0, 21): 't1^-1*tau2*t3', (1, 175): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 74): 't3^-1', (1, 43): 't1', }