U-tiling: UQC4505
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
![Net details](/hnet_small_images/hqc1474.jpg) |
hqc1474 |
*22222 |
(4,5,2) |
{6,3,4,4} |
{3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7.... |
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
|
|
sqc3076
|
|
Fmmm |
69 |
orthorhombic |
{4,3,3,6} |
10 |
(4,5) |
G
|
False
|
|
sqc9602
|
|
Fddd |
70 |
orthorhombic |
{6,3,4,4} |
20 |
(4,6) |
D
|
False
|
|
sqc3773
|
|
Cmma |
67 |
orthorhombic |
{4,3,4,6} |
10 |
(4,5) |
Topological data
Vertex degrees | {6,3,4,4} |
2D vertex symbol | {3.7.3.3.7.3}{3.7.7}{7.7.7.7}{7.7.7.7} |
Dual tiling | ![Tiling details](/u_net_small_images/s22222b_FSGG_52_3_1.png) |
D-symbol
Genus-3 version with t-tau cuts labelled
<52.3:160:81 3 5 7 9 20 101 13 15 17 19 121 23 25 27 29 40 141 33 35 37 39 111 43 45 47 49 60 91 53 55 57 59 151 63 65 67 69 80 131 73 75 77 79 83 85 87 89 110 93 95 97 99 120 103 105 107 109 113 115 117 119 123 125 127 129 150 133 135 137 139 160 143 145 147 149 153 155 157 159,2 83 14 6 8 10 12 103 16 18 20 22 123 34 26 28 30 32 143 36 38 40 42 113 54 46 48 50 52 93 56 58 60 62 153 74 66 68 70 72 133 76 78 80 82 104 86 88 90 92 114 96 98 100 102 106 108 110 112 116 118 120 122 144 126 128 130 132 154 136 138 140 142 146 148 150 152 156 158 160,41 4 5 86 87 98 99 30 51 14 15 106 107 118 119 40 61 24 25 126 127 138 139 71 34 35 146 147 158 159 44 45 116 117 108 109 70 54 55 96 97 88 89 80 64 65 156 157 148 149 74 75 136 137 128 129 111 84 85 130 101 94 95 140 104 105 150 114 115 160 151 124 125 141 134 135 144 145 154 155:3 7 3 3 7 3 3 7 3 3 7 3 7 7 7 7,6 3 4 4 3 4 4 6 3 4 3 4 3 4 3 4 3 3 6 6> {(2, 60): 't1', (1, 123): 't3^-1*tau1*t2', (1, 122): 'tau2', (2, 57): 't3^-1', (0, 60): 'tau3^-1', (1, 113): 'tau1', (2, 48): 't2^-1', (2, 47): 't2^-1', (0, 20): 'tau2^-1', (1, 103): 'tau1^-1', (2, 35): 'tau3', (2, 156): 'tau3', (2, 30): 't1^-1', (2, 159): 't2', (0, 30): 'tau3', (2, 25): 'tau2^-1', (0, 139): 't3*tau1^-1*t2^-1', (2, 149): 't2^-1', (2, 150): 'tau3*t1*tau2^-1', (2, 17): 't2', (2, 146): 'tau3^-1', (0, 149): 't2^-1*tau1^-1*t3', (2, 140): 'tau3^-1*t1^-1*tau2', (1, 72): 'tau2', (2, 8): 't3', (2, 139): 't3', (0, 130): 'tau2^-1', (2, 136): 'tau2^-1', (2, 135): 'tau2^-1', (2, 129): 't3^-1', (2, 126): 'tau2', (1, 62): 'tau3^-1', (2, 118): 't2^-1', (0, 119): 'tau1', (2, 58): 't3^-1', (0, 109): 'tau1^-1', (1, 32): 'tau3', (1, 153): 't2*tau1*t3^-1', (2, 7): 't3', (2, 65): 'tau3^-1'}