U-tiling: UQC5492
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2113 |
*2626 |
(5,5,2) |
{6,4,4,3,12} |
{12.12.12.12.12.12}{12.12.12.12}... |
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
|
|
sqc8553
|
|
R-3m |
166 |
rhombohedral |
{6,4,4,3,12} |
17 |
(5,5) |
|
G
|
False
|
|
sqc8554
|
|
R-3m |
166 |
rhombohedral |
{6,4,4,3,12} |
17 |
(5,5) |
|
D
|
False
|
|
sqc8945
|
|
R-3m |
166 |
rhombohedral |
{6,4,4,3,12} |
17 |
(5,5) |
Topological data
| Vertex degrees | {6,4,4,3,12} |
| 2D vertex symbol | {12.12.12.12.12.12}{12.12.12.12}{12.3.3.12}{12.3.3}{3.3.3.3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<27.2:144:2 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 5 114 9 12 11 37 15 17 102 21 24 23 27 29 138 33 36 35 39 41 126 45 48 47 73 51 53 66 57 60 59 85 63 65 69 72 71 75 77 90 81 84 83 87 89 93 96 95 121 99 101 105 108 107 133 111 113 117 120 119 123 125 129 132 131 135 137 141 144 143,13 14 123 124 7 8 129 130 119 120 135 136 19 20 141 142 107 108 49 50 87 88 31 32 93 94 143 144 61 62 75 76 43 44 81 82 131 132 111 112 55 56 117 118 71 72 99 100 67 68 105 106 97 98 79 80 95 96 109 110 91 92 103 104 115 116 133 134 127 128 139 140:12 3 12 3 3 3 12 3 3 3 3 3 3 3 3,6 4 4 3 12 4 3 4 4 3 4 4 3 4 3 4 3> {(2, 62): 't2', (2, 63): 't2', (2, 56): 't3', (2, 57): 't3', (2, 58): 'tau1', (2, 59): 'tau1', (1, 113): 'tau2', (2, 50): 't3', (2, 51): 't3', (2, 44): 't2', (2, 45): 't2', (2, 46): 'tau3', (2, 47): 'tau3', (1, 125): 'tau3^-1', (2, 38): 't2', (2, 39): 't2', (2, 32): 't3', (2, 33): 't3', (2, 34): 'tau2^-1', (2, 35): 'tau2^-1', (1, 89): 'tau1^-1', (2, 26): 't3', (2, 27): 't3', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 'tau3', (2, 23): 'tau3', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 8): 't1^-1', (2, 9): 't1^-1', (2, 10): 'tau2^-1', (2, 11): 'tau2^-1', (1, 65): 'tau1^-1', (2, 122): 't1', (2, 123): 't1', (1, 101): 'tau3^-1', (2, 104): 't2^-1', (2, 105): 't2^-1', (2, 94): 'tau1^-1', (2, 95): 'tau1^-1', (1, 29): 'tau2^-1'}