U-tiling: UQC1012
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc744 |
*2626 |
(2,4,3) |
{5,18} |
{6.4.3.3.4}{4.4.3.4.4.3.4.4.3.4.... |
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
|
|
sqc4757
|
|
R-3m |
166 |
rhombohedral |
{5,18} |
7 |
(2,4) |
|
G
|
False
|
|
sqc5195
|
|
R-3m |
166 |
rhombohedral |
{5,18} |
7 |
(2,5) |
|
D
|
False
|
|
sqc5196
|
|
R-3m |
166 |
rhombohedral |
{5,18} |
7 |
(2,4) |
Topological data
| Vertex degrees | {5,18} |
| 2D vertex symbol | {6.4.3.3.4}{4.4.3.4.4.3.4.4.3.4.4.3.4.4.3.4.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<29.1:96:17 4 5 86 87 88 25 12 13 94 95 96 20 21 62 63 64 28 29 54 55 56 49 36 37 78 79 80 57 44 45 70 71 72 52 53 60 61 81 68 69 89 76 77 84 85 92 93,2 7 20 6 80 10 15 28 14 72 18 23 22 96 26 31 30 88 34 39 52 38 48 42 47 60 46 50 55 54 64 58 63 62 66 71 84 70 74 79 92 78 82 87 86 90 95 94,73 3 5 14 8 65 11 13 16 89 19 21 38 24 81 27 29 46 32 41 35 37 40 43 45 48 57 51 53 70 56 59 61 78 64 67 69 72 75 77 80 83 85 94 88 91 93 96:3 4 6 3 4 4 4 3 4 3 4 3 3,5 18 5 5 5 5 5> {(1, 87): 'tau3^-1', (0, 62): 't3^-1', (0, 55): 't2^-1', (0, 45): 't2', (2, 16): 'tau2^-1', (0, 5): 't1^-1', (1, 95): 'tau2', (0, 38): 't3', (0, 63): 't3^-1', (2, 24): 'tau3', (2, 0): 'tau2^-1', (0, 13): 't1^-1', (1, 71): 'tau3^-1', (2, 40): 'tau1^-1', (1, 63): 'tau1^-1', (0, 39): 't3', (0, 6): 't1^-1', (2, 56): 'tau1^-1', (0, 53): 't2^-1', (1, 79): 'tau2', (2, 8): 'tau3', (0, 47): 't2', (0, 14): 't1^-1', (0, 7): 't1^-1', (0, 61): 't3^-1', (0, 46): 't2', (1, 47): 'tau1^-1', (0, 54): 't2^-1', (0, 15): 't1^-1', (0, 37): 't3', }