U-tiling: UQC1735
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1303 |
*2626 |
(2,4,4) |
{4,12} |
{4.3.6.12}{6.3.6.3.6.3.6.3.6.3.6.3} |
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
|
|
sqc7257
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
13 |
(2,4) |
|
G
|
False
|
|
sqc7258
|
|
R-3 |
148 |
rhombohedral |
{12,4,4} |
13 |
(3,5) |
|
D
|
False
|
|
sqc7259
|
|
R-3m |
166 |
rhombohedral |
{12,4} |
13 |
(2,4) |
Topological data
| Vertex degrees | {12,4} |
| 2D vertex symbol | {4.3.6.12}{6.3.6.3.6.3.6.3.6.3.6.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.2:120:3 4 95 96 27 28 19 20 13 14 85 86 37 38 23 24 115 116 49 50 33 34 105 106 59 60 43 44 55 56 67 68 53 54 77 78 63 64 75 76 89 90 73 74 99 100 83 84 107 108 93 94 117 118 103 104 119 120 113 114,91 102 5 10 7 9 81 112 15 20 17 19 111 72 25 30 27 29 101 62 35 40 37 39 51 92 45 50 47 49 82 55 60 57 59 71 65 70 67 69 75 80 77 79 85 90 87 89 95 100 97 99 105 110 107 109 115 120 117 119,2 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 98 100 102 104 106 108 110 112 114 116 118 120:3 6 4 12 3 4 3 6 3 6 3 4 3,12 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 74): 'tau1^-1', (0, 55): 'tau1^-1', (0, 34): 'tau3', (0, 5): 'tau2^-1', (1, 91): 't3^-1', (0, 75): 'tau1^-1', (1, 111): 't1', (0, 35): 'tau3', (1, 71): 't3^-1', (1, 90): 'tau2', (1, 110): 'tau2', (1, 81): 't2^-1', (1, 50): 'tau1^-1', (1, 101): 't1', (1, 70): 'tau1^-1', (0, 24): 'tau2^-1', (0, 14): 'tau3', (1, 80): 'tau3^-1', (1, 100): 'tau3^-1', (0, 54): 'tau1^-1', (0, 25): 'tau2^-1', (0, 15): 'tau3', (1, 61): 't2^-1', (0, 4): 'tau2^-1', }