U-tiling: UQC2823
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2169 |
*2626 |
(2,6,5) |
{4,5} |
{12.4.4.4}{4.6.4.4.4} |
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
|
|
sqc9350
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
18 |
(2,6) |
|
G
|
False
|
|
sqc9349
|
|
R-3 |
148 |
rhombohedral |
{5,4,4} |
18 |
(3,7) |
|
D
|
False
|
|
sqc9348
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
18 |
(2,6) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {12.4.4.4}{4.6.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.2:156:118 4 5 123 124 138 139 23 24 25 26 105 17 18 110 111 151 152 144 30 31 149 150 99 100 62 63 64 65 131 43 44 136 137 86 87 75 76 77 78 66 56 57 71 72 125 126 69 70 112 113 92 82 83 97 98 114 115 116 117 95 96 127 128 129 130 108 109 121 122 134 135 153 154 155 156 147 148,2 12 6 11 8 10 39 15 25 19 24 21 23 52 28 38 32 37 34 36 41 51 45 50 47 49 54 64 58 63 60 62 91 67 77 71 76 73 75 104 80 90 84 89 86 88 93 103 97 102 99 101 106 116 110 115 112 114 143 119 129 123 128 125 127 156 132 142 136 141 138 140 145 155 149 154 151 153,27 3 5 7 9 11 13 40 16 18 20 22 24 26 29 31 33 35 37 39 42 44 46 48 50 52 79 55 57 59 61 63 65 92 68 70 72 74 76 78 81 83 85 87 89 91 94 96 98 100 102 104 131 107 109 111 113 115 117 144 120 122 124 126 128 130 133 135 137 139 141 143 146 148 150 152 154 156:4 4 12 4 6 4 4 4 4 4 4 4 4 4 4 4 4,5 4 5 4 4 4 5 4 5 4 4 4 5 4 5 4 4 4> {(0, 18): 'tau3', (0, 96): 'tau1^-1', (0, 45): 'tau3', (0, 150): 't1', (0, 34): 't3', (0, 111): 't2^-1', (0, 59): 't3', (0, 26): 'tau2^-1', (0, 19): 'tau3', (0, 137): 't1', (0, 52): 'tau1', (0, 97): 'tau1^-1', (0, 151): 't1', (0, 13): 'tau3', (0, 46): 't2', (0, 122): 'tau2', (0, 39): 'tau3', (0, 6): 'tau2^-1', (0, 60): 't3', (0, 31): 'tau2^-1', (0, 138): 't1', (0, 32): 'tau2^-1', (0, 57): 'tau1', (0, 47): 't2', (0, 112): 't2^-1', (0, 33): 't3', (0, 0): 'tau2^-1', (0, 44): 'tau3', (0, 91): 'tau1^-1', (0, 58): 'tau1', }