U-tiling: UQC5491
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
|
|
sqc8945
|
|
R-3m |
166 |
rhombohedral |
{6,4,4,3,12} |
17 |
(5,5) |
|
G
|
False
|
|
sqc8557
|
|
R-3m |
166 |
rhombohedral |
{6,4,4,3,12} |
17 |
(5,5) |
|
D
|
False
|
|
sqc8553
|
|
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
<27.1:144:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144,109 3 5 30 9 12 11 97 15 17 42 21 24 23 133 27 29 33 36 35 121 39 41 45 48 47 61 51 53 78 57 60 59 63 65 90 69 72 71 85 75 77 81 84 83 87 89 93 96 95 99 101 126 105 108 107 111 113 138 117 120 119 123 125 129 132 131 135 137 141 144 143,121 122 15 16 7 8 21 22 35 36 133 134 19 20 47 48 85 86 51 52 31 32 57 58 73 74 63 64 43 44 69 70 109 110 55 56 83 84 97 98 67 68 95 96 99 100 79 80 105 106 111 112 91 92 117 118 103 104 131 132 115 116 143 144 135 136 127 128 141 142 139 140:12 3 12 3 3 3 12 3 3 3 3 3 3 3 3,6 4 4 3 12 3 4 4 4 4 3 3 4 4 3 3 4> {(2, 60): 't2', (1, 120): 'tau3^-1', (2, 24): 't3', (2, 121): 't1', (2, 61): 't2', (2, 48): 't3', (2, 49): 't3', (1, 84): 'tau1^-1', (2, 12): 't1^-1', (2, 13): 't1^-1', (1, 108): 'tau2', (1, 96): 'tau3^-1', (2, 36): 't2', (2, 37): 't2', (2, 0): 't1^-1', (1, 24): 'tau2^-1', (1, 60): 'tau1^-1', (2, 25): 't3'}