U-tiling: UQC4592
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc179 |
2*26 |
(2,3,1) |
{12,3} |
{5.5.5.5.5.5.5.5.5.5.5.5}{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
|
|
sqc1451
|
|
R-3m |
166 |
rhombohedral |
{3,12} |
7 |
(2,3) |
|
G
|
False
|
|
sqc6993
|
|
R-3c |
167 |
rhombohedral |
{12,3} |
14 |
(2,4) |
|
D
|
False
|
|
sqc1446
|
|
R-3m |
166 |
rhombohedral |
{3,12} |
7 |
(2,3) |
Topological data
| Vertex degrees | {12,3,3,12} |
| 2D vertex symbol | {5.5.5.5.5.5.5.5.5.5.5.5}{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
<58.1:120:91 3 5 7 9 20 81 13 15 17 19 111 23 25 27 29 50 101 33 35 37 39 60 51 43 45 47 49 53 55 57 59 71 63 65 67 69 90 73 75 77 79 100 83 85 87 89 93 95 97 99 103 105 107 109 120 113 115 117 119,2 4 95 16 8 10 12 14 85 18 20 22 24 115 46 28 30 32 34 105 56 38 40 42 44 55 48 50 52 54 58 60 62 64 75 86 68 70 72 74 96 78 80 82 84 88 90 92 94 98 100 102 104 116 108 110 112 114 118 120,21 12 13 6 7 98 99 110 31 16 17 88 89 120 42 43 26 27 118 119 80 52 53 36 37 108 109 70 61 46 47 58 59 100 71 56 57 90 82 83 66 67 78 79 92 93 76 77 101 86 87 111 96 97 112 113 106 107 116 117:5 5 5 5 5 5 5 5 5 5 5 5,12 3 3 12 3 3 3 3 3 3 3 3 3 3> {(2, 57): 'tau1^-1', (2, 58): 'tau1^-1', (2, 59): 't2', (0, 50): 'tau1^-1', (1, 114): 'tau2', (2, 49): 't3', (2, 17): 'tau3', (1, 104): 'tau3^-1', (0, 20): 'tau2^-1', (2, 37): 'tau3', (2, 38): 'tau3', (2, 39): 't2', (2, 28): 'tau2^-1', (2, 29): 't3', (0, 30): 'tau3', (0, 60): 'tau1', (2, 27): 'tau2^-1', (1, 84): 'tau3^-1', (2, 18): 'tau3', (2, 19): 't1^-1', (0, 10): 'tau3', (1, 74): 'tau1^-1', (2, 8): 'tau2^-1', (2, 9): 't1^-1', (0, 0): 'tau2^-1', (2, 7): 'tau2^-1', (1, 54): 'tau1^-1', (1, 94): 'tau2', (2, 77): 'tau1^-1', (2, 78): 'tau1^-1'}