U-tiling: UQC2185
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1715 |
*2626 |
(2,5,4) |
{3,5} |
{4.4.18}{18.4.12.12.4} |
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
|
|
sqc8238
|
|
R-3m |
166 |
rhombohedral |
{5,3} |
18 |
(2,5) |
|
G
|
False
|
|
sqc8242
|
|
R-3 |
148 |
rhombohedral |
{5,3,3} |
18 |
(3,6) |
|
D
|
False
|
|
sqc8245
|
|
R-3m |
166 |
rhombohedral |
{5,3} |
18 |
(2,5) |
Topological data
| Vertex degrees | {5,3} |
| 2D vertex symbol | {4.4.18}{18.4.12.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:132:23 13 14 6 7 19 20 120 121 34 17 18 131 132 46 47 28 29 52 53 87 88 57 58 39 40 63 64 76 77 67 50 51 109 110 78 61 62 98 99 90 91 72 73 96 97 101 102 83 84 107 108 111 94 95 122 105 106 123 124 116 117 129 130 127 128,2 4 104 8 11 10 13 15 93 19 22 21 24 26 126 30 33 32 35 37 115 41 44 43 46 48 60 52 55 54 57 59 63 66 65 68 70 82 74 77 76 79 81 85 88 87 90 92 96 99 98 101 103 107 110 109 112 114 118 121 120 123 125 129 132 131,100 3 5 7 9 11 89 14 16 18 20 22 122 25 27 29 31 33 111 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 78 69 71 73 75 77 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132:12 4 18 4 4 4 4 4 4 4 4,5 3 5 3 5 3 5 3 5 3 3 5 3 3 3 3 3 3> {(1, 114): 'tau3^-1', (1, 103): 'tau2', (0, 9): 't1^-1', (2, 77): 'tau1^-1', (0, 97): 't2^-1', (0, 42): 't2', (2, 11): 'tau3', (1, 81): 'tau1^-1', (1, 125): 'tau2', (2, 55): 'tau1^-1', (2, 33): 'tau3', (2, 22): 'tau2^-1', (2, 0): 'tau2^-1', (0, 31): 't3', (0, 53): 't3', (1, 59): 'tau1^-1', (0, 43): 't2', (0, 20): 't1^-1', (0, 10): 't1^-1', (0, 32): 't3', (0, 98): 't2^-1', (0, 21): 't1^-1', (0, 54): 't3', (1, 92): 'tau3^-1', }