U-tiling: UQC1589
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1263 |
*22222 |
(2,6,4) |
{6,4} |
{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
|
True
|
|
sqc7453
|
|
P4/mmm |
123 |
tetragonal |
{3,5} |
16 |
(2,6) |
G
|
False
|
|
sqc9365
|
|
I4122 |
98 |
tetragonal |
{4,6} |
16 |
(2,6) |
D
|
False
|
|
sqc3209
|
|
P4222 |
93 |
tetragonal |
{6,4} |
8 |
(2,6) |
Topological data
Vertex degrees | {6,4} |
2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.1:160:41 92 93 5 96 97 28 29 20 51 72 73 15 76 77 38 39 61 112 113 25 116 117 40 81 102 103 35 106 107 132 133 45 136 137 68 69 80 122 123 55 126 127 88 89 100 152 153 65 156 157 110 121 75 108 109 142 143 85 146 147 120 131 95 118 119 141 105 151 115 125 148 149 140 135 158 159 145 160 155,2 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 3 24 25 7 9 30 31 13 34 35 17 19 40 23 27 29 33 37 39 61 43 64 65 47 49 70 81 53 84 85 57 59 90 63 67 69 101 73 104 105 77 79 110 83 87 89 111 93 114 115 97 99 120 103 107 109 113 117 119 141 123 144 145 127 129 150 151 133 154 155 137 139 160 143 147 149 153 157 159:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,4 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6> {(0, 146): 't1', (0, 8): 't1', (2, 109): 'tau2*t3', (0, 129): 'tau1^-1', (0, 22): 't1^-1', (0, 48): 't3*tau2', (0, 30): 't1', (2, 103): 'tau2*t3', (2, 139): 't2^-1*tau3*t1', (0, 27): 't1^-1', (2, 124): 't3^-1*tau2^-1', (0, 39): 't1', (0, 159): 't1^-1*tau3^-1*t2*tau1*t3^-1*tau2^-1', (2, 113): 'tau3^-1*t2', (0, 109): 'tau2', (2, 100): 'tau2*t3', (0, 47): 't3*tau2', (2, 30): 't1', (2, 34): 't1', (2, 154): 't1^-1*tau3^-1*t2', (2, 39): 't1', (0, 25): 't1^-1', (0, 157): 'tau2^-1*t3^-1', (0, 150): 't1^-1', (0, 59): 't2', (0, 26): 't1^-1', (2, 123): 't3^-1*tau2^-1', (0, 147): 't1*tau3*t2^-1', (2, 110): 'tau3^-1*t2', (0, 158): 'tau2^-1*t3^-1', (0, 141): 't1', (0, 49): 't3', (2, 33): 't1', (2, 150): 't1^-1*tau3^-1*t2', (2, 153): 't1^-1*tau3^-1*t2', (2, 120): 't3^-1*tau2^-1', (0, 148): 't1*tau3*t2^-1', (0, 119): 'tau3^-1', (0, 57): 't2*tau3^-1', (0, 142): 't1', (0, 145): 't1', (2, 129): 't3^-1*tau2^-1', (0, 21): 't1^-1', (2, 114): 'tau3^-1*t2', (2, 104): 'tau2*t3', (2, 119): 'tau3^-1*t2', (0, 58): 't2*tau3^-1', }