U-tiling: UQC179
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc165 |
*2224 |
(2,2,2) |
{3,4} |
{6.8.6}{6.8.6.8} |
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
|
False
|
|
sqc3893
|
stu
|
I4/mmm |
139 |
tetragonal |
{4,3} |
12 |
(2,2) |
|
G
|
False
|
|
sqc9931
|
|
I41/acd |
142 |
tetragonal |
{3,4} |
24 |
(2,3) |
|
D
|
False
|
|
sqc515
|
tfi
|
P42/mmc |
131 |
tetragonal |
{3,4} |
6 |
(2,2) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {6.8.6}{6.8.6.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:160:6 4 5 9 10 16 14 15 19 20 36 24 25 46 29 30 51 34 35 39 40 61 44 45 49 50 54 55 66 59 60 64 65 69 70 86 74 75 96 79 80 91 84 85 89 90 94 95 99 100 126 104 105 121 109 110 131 114 115 136 119 120 124 125 129 130 134 135 139 140 151 144 145 156 149 150 154 155 159 160,2 58 14 25 7 68 19 30 12 73 35 17 88 45 22 78 34 27 93 44 32 103 37 98 54 120 42 123 47 83 64 140 52 128 150 57 74 85 62 108 160 67 89 100 72 110 77 104 115 82 109 87 130 92 124 135 97 129 102 145 107 112 138 144 117 133 149 122 155 127 132 154 137 159 142 158 147 153 152 157,56 3 5 66 8 10 71 13 15 86 18 20 76 23 25 91 28 30 101 33 35 96 38 40 121 43 45 81 48 50 126 53 55 58 60 106 63 65 68 70 73 75 78 80 83 85 88 90 93 95 98 100 103 105 108 110 136 113 115 131 118 120 123 125 128 130 133 135 138 140 156 143 145 151 148 150 153 155 158 160:6 8 8 8 8 6 6 6 6 6 6 6,3 4 3 4 3 3 3 3 3 3 4 3 3 4 3 4 3 4 4 4 3 3 3 3> {(2, 155): 't2^-1*tau3*t1*tau2^-1', (1, 118): 't3^-1', (1, 87): 't1', (0, 95): 't3^-1', (1, 123): 't2^-1', (1, 152): 't2*tau3^-1*t1^-1*tau2', (1, 113): 't3', (0, 45): 't2^-1', (0, 150): 'tau1^-1*t3', (2, 10): 't1^-1', (1, 124): 't2^-1', (1, 103): 't3^-1', (2, 30): 'tau2^-1', (1, 64): 't2', (1, 157): 't2^-1*tau3*t1*tau2^-1', (1, 63): 't2', (0, 90): 't2', (0, 135): 'tau1', (1, 127): 'tau2', (2, 40): 'tau3', (2, 15): 't1^-1', (1, 53): 't3', (1, 122): 'tau3^-1', (2, 50): 'tau2^-1', (2, 145): 'tau2^-1*t1*tau3*t2^-1', (1, 72): 't1', (0, 35): 't3^-1', (0, 130): 'tau1^-1', (1, 102): 'tau2', (1, 107): 'tau3^-1', (0, 155): 'tau1*t3^-1', (2, 60): 'tau3', }