U-tiling: UQC5437
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2076 |
*2626 |
(5,5,2) |
{6,4,6,4,12} |
{4.4.4.4.4.4}{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
|
False
|
|
sqc8921
|
|
R-3m |
166 |
rhombohedral |
{6,4,6,4,12} |
14 |
(5,5) |
|
G
|
False
|
|
sqc8920
|
|
R-3 |
148 |
rhombohedral |
{6,4,6,4,12} |
14 |
(5,6) |
|
D
|
False
|
|
sqc8846
|
|
R-3m |
166 |
rhombohedral |
{6,4,6,4,12} |
14 |
(5,5) |
Topological data
| Vertex degrees | {6,4,6,4,12} |
| 2D vertex symbol | {4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<22.2:144:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144,25 3 28 7 12 9 11 37 15 40 19 24 21 23 27 31 36 33 35 39 43 48 45 47 73 51 76 55 60 57 59 85 63 88 67 72 69 71 75 79 84 81 83 87 91 96 93 95 121 99 124 103 108 105 107 133 111 136 115 120 117 119 123 127 132 129 131 135 139 144 141 143,13 14 5 6 19 20 129 130 119 120 17 18 141 142 107 108 49 50 29 30 55 56 93 94 143 144 61 62 41 42 67 68 81 82 131 132 53 54 117 118 71 72 65 66 105 106 97 98 77 78 103 104 95 96 109 110 89 90 115 116 101 102 113 114 133 134 125 126 139 140 137 138:4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4,6 4 6 4 12 6 4 4 4 4 6 4 4 4> {(2, 56): 't3', (2, 57): 't3', (2, 58): 'tau1', (2, 59): 'tau1', (2, 44): 't2', (2, 45): 't2', (2, 46): 'tau3', (2, 47): 'tau3', (2, 32): 't3', (2, 33): 't3', (2, 34): 'tau2^-1', (2, 35): 'tau2^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 'tau3', (2, 23): 'tau3', (2, 8): 't1^-1', (2, 9): 't1^-1', (2, 10): 'tau2^-1', (2, 11): 'tau2^-1', (2, 104): 't2^-1', (2, 105): 't2^-1', (2, 94): 'tau1^-1', (2, 95): 'tau1^-1'}