U-tiling: UQC3711
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc817 |
*2626 |
(3,4,2) |
{4,12,12} |
{3.5.5.3}{3.5.3.5.3.5.3.5.3.5.3.... |
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
|
|
sqc4759
|
|
R-3m |
166 |
rhombohedral |
{4,12,12} |
8 |
(3,4) |
|
G
|
False
|
|
sqc4740
|
|
R-3m |
166 |
rhombohedral |
{4,12,12} |
8 |
(3,5) |
|
D
|
False
|
|
sqc4765
|
|
R-3m |
166 |
rhombohedral |
{4,12,12} |
8 |
(3,4) |
Topological data
| Vertex degrees | {4,12,12} |
| 2D vertex symbol | {3.5.5.3}{3.5.3.5.3.5.3.5.3.5.3.5}{5.5.5.5.5.5.5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<32.2:96:17 3 5 7 16 25 11 13 15 19 21 23 40 27 29 31 48 49 35 37 39 57 43 45 47 51 53 55 72 59 61 63 80 81 67 69 71 89 75 77 79 83 85 87 96 91 93 95,2 19 6 13 8 10 27 14 16 18 22 37 24 26 30 45 32 34 51 38 40 42 59 46 48 50 54 69 56 58 62 77 64 66 83 70 72 74 91 78 80 82 86 93 88 90 94 96,73 4 5 78 79 88 65 12 13 70 71 96 89 20 21 94 95 64 81 28 29 86 87 56 41 36 37 46 47 80 44 45 72 57 52 53 62 63 60 61 68 69 76 77 84 85 92 93:3 5 3 5 5 3 3 5 5 3 3 5,4 12 12 4 4 4 4 4> {(2, 61): 'tau1^-1', (2, 62): 'tau1^-1', (2, 63): 't3^-1', (2, 56): 'tau1^-1', (2, 55): 't2^-1', (2, 45): 'tau1^-1', (2, 46): 'tau1^-1', (2, 47): 't2', (2, 40): 'tau1^-1', (2, 39): 't3', (2, 29): 'tau3', (2, 30): 'tau3', (2, 24): 'tau3', (2, 21): 'tau2^-1', (2, 22): 'tau2^-1', (2, 16): 'tau2^-1', (2, 13): 'tau3', (2, 14): 'tau3', (2, 15): 't1^-1', (2, 8): 'tau3', (2, 5): 'tau2^-1', (2, 6): 'tau2^-1', (2, 7): 't1^-1', (2, 0): 'tau2^-1'}