U-tiling: UQC5221
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1516 |
*2244 |
(5,4,2) |
{3,3,4,4,4} |
{4.8.8}{4.8.8}{8.8.8.8}{8.8.8.8}... |
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
|
|
sqc9877
|
|
P42/mmc |
131 |
tetragonal |
{3,3,4,4,4} |
24 |
(5,4) |
G
|
False
|
|
sqc9886
|
|
I-42d |
122 |
tetragonal |
{3,3,4,4,4} |
24 |
(5,5) |
D
|
False
|
|
sqc3437
|
|
P4/mmm |
123 |
tetragonal |
{3,3,4,4,4} |
12 |
(5,4) |
Topological data
Vertex degrees | {3,3,4,4,4} |
2D vertex symbol | {4.8.8}{4.8.8}{8.8.8.8}{8.8.8.8}{8.8.8.8} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<110.1:160:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144 146 148 150 152 154 156 158 160,61 82 5 7 26 9 30 71 92 15 17 36 19 40 31 102 25 27 29 112 35 37 39 51 122 45 47 66 49 70 132 55 57 76 59 80 142 65 67 69 152 75 77 79 141 85 87 106 89 110 151 95 97 116 99 120 111 105 107 109 115 117 119 131 125 127 146 129 150 135 137 156 139 160 145 147 149 155 157 159,3 4 65 66 87 88 19 20 13 14 75 76 97 98 23 24 35 36 107 108 49 50 33 34 117 118 59 60 43 44 55 56 127 128 53 54 137 138 63 64 147 148 79 80 73 74 157 158 83 84 145 146 99 100 93 94 155 156 103 104 115 116 129 130 113 114 139 140 123 124 135 136 133 134 143 144 159 160 153 154:4 8 4 8 4 4 8 8 8 8 8 8,3 3 4 4 4 3 3 3 3 4 3 4 3 3 3 3 4 3 3 4 4 3 3 3> {(1, 125): 'tau1', (2, 58): 't3*tau2*t1^-1', (2, 59): 't3*tau2*t1^-1', (1, 115): 'tau3^-1', (1, 119): 'tau3^-1', (1, 105): 't2^-1', (1, 109): 't2^-1', (1, 90): 't1^-1*tau2*t3', (2, 155): 't3^-1*tau2^-1*t1', (1, 75): 't3^-1*tau2^-1*t3^-1', (2, 14): 't1^-1*tau2*t3', (2, 15): 't1^-1*tau2*t3', (2, 138): 't3*tau2*t1^-1', (2, 139): 't3*tau2*t1^-1', (1, 65): 't3^-1', (1, 69): 't3^-1', (1, 70): 't3^-1*tau2^-1*t1', (1, 79): 't3^-1*tau2^-1*t3^-1', (2, 94): 't1^-1*tau2*t3', (1, 35): 't1', (1, 39): 't1', (1, 155): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 159): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 149): 'tau1^-1'}