U-tiling: UQC1540
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc984 |
*2626 |
(2,4,4) |
{7,4} |
{12.3.3.6.3.3.12}{3.3.3.3} |
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
|
|
sqc6188
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
9 |
(2,4) |
|
G
|
False
|
|
sqc6187
|
|
R-3 |
148 |
rhombohedral |
{7,4} |
9 |
(2,5) |
|
D
|
False
|
|
sqc6185
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
9 |
(2,4) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {12.3.3.6.3.3.12}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<49.2:108:82 92 93 6 7 17 18 73 101 102 15 16 100 65 66 24 25 44 45 91 56 57 33 34 53 54 46 83 84 42 43 74 75 51 52 64 60 61 80 81 69 70 89 90 78 79 87 88 96 97 107 108 105 106,2 4 8 96 16 27 11 13 17 105 36 20 22 26 69 43 29 31 35 60 52 38 40 44 87 63 47 49 53 78 72 56 58 62 79 65 67 71 88 74 76 80 99 83 85 89 108 92 94 98 106 101 103 107,19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 64 48 50 52 54 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108:12 3 3 6 3 3 3 3 3 3 3 3 3 3,7 4 7 4 4 7 7 7 7> {(0, 18): 'tau2^-1', (1, 77): 't2^-1', (0, 1): 't1^-1', (0, 55): 't2^-1', (0, 45): 'tau1^-1', (1, 95): 't1', (0, 38): 't3', (0, 19): 't3', (0, 9): 'tau3', (0, 63): 'tau1^-1', (0, 2): 't1^-1', (0, 56): 't2^-1', (1, 32): 't2', (0, 46): 't2', (0, 27): 'tau3', (1, 23): 't3', (0, 20): 't3', (0, 10): 't1^-1', (0, 47): 't2', (1, 86): 't3^-1', (0, 11): 't1^-1', (1, 104): 't1', (0, 0): 'tau2^-1', (0, 37): 't3', }