U-tiling: UQC3834
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc69 |
*446 |
(2,2,2) |
{18,4} |
{4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4... |
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
|
True
|
|
sqc2532
|
|
R-3m |
166 |
rhombohedral |
{12,12,4} |
5 |
(3,3) |
|
G
|
True
|
|
sqc3298
|
|
R-3m |
166 |
rhombohedral |
{14,14,4} |
5 |
(3,4) |
|
D
|
True
|
|
sqc2532
|
|
R-3m |
166 |
rhombohedral |
{12,12,4} |
5 |
(3,3) |
Topological data
| Vertex degrees | {18,18,4} |
| 2D vertex symbol | {4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3}{4.3.3.4.3.3.4.3.3.4.3.3.4.3.3.4.3.3}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:96:2 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 96,73 18 5 8 7 65 26 13 16 15 89 21 24 23 81 29 32 31 41 50 37 40 39 58 45 48 47 57 53 56 55 61 64 63 82 69 72 71 90 77 80 79 85 88 87 93 96 95,3 4 85 86 15 16 11 12 93 94 19 20 61 62 39 40 27 28 53 54 47 48 35 36 77 78 43 44 69 70 51 52 71 72 59 60 79 80 67 68 75 76 83 84 95 96 91 92:4 3 4 3 3 3 4 3 3 3 3 3 3 3 3,18 18 4 4 4> {(2, 60): 't3^-1', (2, 61): 't3^-1', (1, 40): 'tau1^-1', (1, 56): 'tau1^-1', (1, 88): 'tau2', (2, 52): 't2^-1', (2, 53): 't2^-1', (2, 4): 't1^-1', (1, 8): 'tau3', (2, 5): 't1^-1', (2, 44): 't2', (2, 45): 't2', (2, 13): 't1^-1', (1, 0): 'tau2^-1', (2, 36): 't3', (2, 37): 't3', (2, 12): 't1^-1', (1, 24): 'tau3'}