U-tiling: UQC5408
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc262 |
*2(12)(12) |
(3,3,2) |
{3,4,12} |
{12.5.5}{5.5.5.5}{5.5.5.5.5.5.5.... |
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
|
|
sqc8847
|
|
R-3m |
166 |
rhombohedral |
{3,3,4,12,4} |
19 |
(5,5) |
|
G
|
False
|
|
sqc8483
|
|
R-3 |
148 |
rhombohedral |
{3,3,4,12,4} |
19 |
(5,6) |
|
D
|
False
|
|
sqc8847
|
|
R-3m |
166 |
rhombohedral |
{3,3,4,12,4} |
19 |
(5,5) |
Topological data
| Vertex degrees | {3,3,4,12,4} |
| 2D vertex symbol | {12.5.5}{12.5.5}{5.5.5.5}{5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<21.1:144:2 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 98 100 102 104 106 108 110 112 114 116 118 120 122 124 126 128 130 132 134 136 138 140 142 144,25 14 5 12 7 9 11 37 17 24 19 21 23 50 29 36 31 33 35 62 41 48 43 45 47 73 53 60 55 57 59 85 65 72 67 69 71 98 77 84 79 81 83 110 89 96 91 93 95 121 101 108 103 105 107 133 113 120 115 117 119 134 125 132 127 129 131 137 144 139 141 143,3 4 29 30 115 116 129 130 23 24 15 16 41 42 103 104 141 142 27 28 139 140 93 94 59 60 39 40 127 128 81 82 71 72 51 52 77 78 67 68 117 118 63 64 89 90 105 106 75 76 91 92 107 108 87 88 119 120 99 100 125 126 111 112 137 138 123 124 143 144 135 136:12 5 5 5 5 5 5 5 5 5 5 5 5,3 3 4 12 4 3 4 3 4 3 4 3 4 3 3 3 3 3 3> {(2, 56): 't3', (2, 57): 't3', (2, 54): 'tau1', (2, 55): 'tau1', (2, 44): 't2', (2, 45): 't2', (2, 42): 'tau3', (2, 43): 'tau3', (2, 32): 't3', (2, 33): 't3', (2, 30): 'tau2^-1', (2, 31): 'tau2^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 18): 'tau3', (2, 19): 'tau3', (2, 8): 't1^-1', (2, 9): 't1^-1', (2, 6): 'tau2^-1', (2, 7): 'tau2^-1', (2, 104): 't2^-1', (2, 105): 't2^-1', (2, 90): 'tau1^-1', (2, 91): 'tau1^-1'}