U-tiling: UQC4685
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1527 |
*2244 |
(4,4,2) |
{3,12,4,8} |
{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}... |
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
|
|
sqc9435
|
|
P42/mmc |
131 |
tetragonal |
{3,12,4,8} |
16 |
(4,4) |
G
|
False
|
|
sqc9400
|
|
I-42d |
122 |
tetragonal |
{3,12,4,8} |
16 |
(4,5) |
D
|
False
|
|
sqc3345
|
|
P-42m |
111 |
tetragonal |
{3,4,12,8} |
8 |
(4,4) |
Topological data
Vertex degrees | {3,12,4,8} |
2D vertex symbol | {4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<11.1:160:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160,81 12 5 10 7 9 91 15 20 17 19 101 42 25 30 27 29 111 52 35 40 37 39 121 45 50 47 49 131 55 60 57 59 141 72 65 70 67 69 151 75 80 77 79 92 85 90 87 89 95 100 97 99 122 105 110 107 109 132 115 120 117 119 125 130 127 129 135 140 137 139 152 145 150 147 149 155 160 157 159,3 4 85 86 67 68 29 30 13 14 95 96 77 78 39 40 23 24 105 106 37 38 33 34 115 116 43 44 125 126 57 58 69 70 53 54 135 136 79 80 63 64 145 146 73 74 155 156 83 84 147 148 109 110 93 94 157 158 119 120 103 104 117 118 113 114 123 124 137 138 149 150 133 134 159 160 143 144 153 154:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,3 12 4 8 3 4 3 4 3 3 4 3 3 3 12 8> {(2, 156): 't3^-1*tau2^-1*t1', (2, 157): 't3^-1*tau2^-1*t1', (2, 158): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 159): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (2, 58): 't3*tau2*t3', (2, 59): 't3*tau2*t3', (2, 148): 'tau1^-1', (2, 149): 'tau1^-1', (2, 118): 'tau3^-1', (2, 119): 'tau3^-1', (2, 48): 't3', (2, 49): 't3', (2, 17): 't1^-1*tau2*t3', (2, 108): 't2^-1', (2, 109): 't2^-1', (1, 111): 't1*tau2^-1*t3^-1', (2, 16): 't1^-1*tau2*t3', (2, 38): 't1', (2, 39): 't1', (1, 51): 't3*tau2*t1^-1'}