U-tiling: UQC4699
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1534 |
*2244 |
(4,4,2) |
{3,6,8,4} |
{8.4.4}{8.4.4.8.4.4}{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
|
|
sqc9743
|
|
P42/mmc |
131 |
tetragonal |
{3,6,8,4} |
18 |
(4,4) |
G
|
False
|
|
sqc9745
|
|
I-42d |
122 |
tetragonal |
{3,6,8,4} |
18 |
(4,5) |
D
|
False
|
|
sqc3766
|
|
P-42m |
111 |
tetragonal |
{6,3,4,8} |
9 |
(4,4) |
Topological data
Vertex degrees | {3,6,8,4} |
2D vertex symbol | {8.4.4}{8.4.4.8.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:160:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160,21 62 5 10 7 9 31 72 15 20 17 19 32 25 30 27 29 35 40 37 39 61 52 45 50 47 49 71 55 60 57 59 65 70 67 69 75 80 77 79 101 142 85 90 87 89 111 152 95 100 97 99 112 105 110 107 109 115 120 117 119 141 132 125 130 127 129 151 135 140 137 139 145 150 147 149 155 160 157 159,3 4 25 26 17 18 89 90 13 14 35 36 99 100 23 24 47 48 109 110 33 34 57 58 119 120 43 44 65 66 129 130 53 54 75 76 139 140 63 64 77 78 149 150 73 74 159 160 83 84 105 106 97 98 93 94 115 116 103 104 127 128 113 114 137 138 123 124 145 146 133 134 155 156 143 144 157 158 153 154:8 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4,3 6 8 4 3 6 6 4 4 3 6 3 4 3 8 3 3 3> {(1, 120): 'tau1', (2, 56): 't3*tau2*t1^-1', (2, 57): 't3*tau2*t1^-1', (2, 54): 't3*tau2*t3', (2, 55): 't3*tau2*t3', (2, 44): 't3', (2, 45): 't3', (1, 110): 'tau3^-1', (1, 100): 't2^-1', (2, 34): 't1', (2, 35): 't1', (1, 91): 't1^-1*tau2*t3', (2, 154): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 155): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 144): 'tau1^-1', (2, 145): 'tau1^-1', (2, 136): 't3*tau2*t1^-1', (2, 137): 't3*tau2*t1^-1', (1, 71): 't3^-1*tau2^-1*t1', (1, 70): 't3^-1*tau2^-1*t3^-1', (1, 60): 't3^-1', (2, 114): 'tau3^-1', (2, 115): 'tau3^-1', (2, 104): 't2^-1', (2, 105): 't2^-1', (1, 30): 't1', (1, 150): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1'}