U-tiling: UQC1787
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1342 |
*22222 |
(2,5,4) |
{5,10} |
{4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3} |
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
|
|
sqc3063
|
|
Fmmm |
69 |
orthorhombic |
{5,9} |
6 |
(2,5) |
G
|
False
|
|
sqc9424
|
|
Fddd |
70 |
orthorhombic |
{5,10} |
12 |
(2,6) |
D
|
True
|
|
sqc222
|
|
Pmmm |
47 |
orthorhombic |
{8,5} |
3 |
(2,5) |
Topological data
Vertex degrees | {5,10} |
2D vertex symbol | {4.3.3.3.4}{3.3.4.4.3.3.3.4.4.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<57.3:160:41 12 13 6 7 88 89 100 51 16 17 108 109 120 61 32 33 26 27 128 129 140 71 36 37 148 149 160 52 53 46 47 118 119 110 56 57 98 99 90 72 73 66 67 158 159 150 76 77 138 139 130 111 102 103 86 87 101 112 113 96 97 106 107 116 117 151 142 143 126 127 141 152 153 136 137 146 147 156 157,2 4 85 16 8 10 12 14 105 18 20 22 24 125 36 28 30 32 34 145 38 40 42 44 115 56 48 50 52 54 95 58 60 62 64 155 76 68 70 72 74 135 78 80 82 84 106 88 90 92 94 116 98 100 102 104 108 110 112 114 118 120 122 124 146 128 130 132 134 156 138 140 142 144 148 150 152 154 158 160,81 3 5 7 9 30 101 13 15 17 19 40 121 23 25 27 29 141 33 35 37 39 111 43 45 47 49 70 91 53 55 57 59 80 151 63 65 67 69 131 73 75 77 79 83 85 87 89 130 93 95 97 99 140 103 105 107 109 150 113 115 117 119 160 123 125 127 129 133 135 137 139 143 145 147 149 153 155 157 159:4 3 3 4 3 4 4 3 3 4 3 4 3 3 3 3 3 3 4 3 3 4 3 3,5 10 5 5 5 5 10 5 5 5 10 10> {(1, 34): 'tau3', (1, 85): 'tau1', (0, 157): 'tau3', (0, 30): 't1^-1', (0, 60): 't1', (2, 20): 'tau2^-1', (0, 102): 'tau1^-1', (2, 109): 't2', (0, 77): 'tau2', (0, 150): 'tau3*t1*tau2^-1', (0, 140): 'tau3^-1*t1^-1*tau2', (1, 124): 'tau2', (0, 78): 'tau2', (2, 30): 'tau3', (1, 64): 'tau3^-1', (0, 142): 't2^-1*tau1^-1*t3', (0, 59): 't3^-1', (0, 101): 'tau1^-1', (2, 129): 't3^-1', (0, 112): 'tau1', (0, 38): 'tau3', (0, 19): 't2', (0, 28): 'tau2^-1', (0, 9): 't3', (1, 155): 't2*tau1*t3^-1', (0, 91): 'tau1^-1', (0, 158): 'tau3', (0, 141): 't2^-1*tau1^-1*t3', (0, 132): 't3*tau1^-1*t2^-1', (0, 151): 't2*tau1*t3^-1', (2, 139): 't3', (1, 115): 'tau1', (2, 159): 't2', (1, 74): 'tau2', (1, 125): 't3^-1*tau1*t2', (0, 37): 'tau3', (0, 27): 'tau2^-1', (2, 130): 'tau2^-1', (0, 49): 't2^-1', (2, 60): 'tau3^-1', }