U-tiling: UQC4204
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc872 |
*2626 |
(4,3,2) |
{4,3,4,6} |
{12.6.12.6}{12.6.6}{6.6.6.6}{6.6... |
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
|
|
sqc5343
|
|
R-3m |
166 |
rhombohedral |
{4,3,4,6} |
13 |
(4,3) |
|
G
|
False
|
|
sqc5008
|
|
R-3 |
148 |
rhombohedral |
{4,3,4,6} |
13 |
(4,4) |
|
D
|
False
|
|
sqc5004
|
|
R-3m |
166 |
rhombohedral |
{4,3,4,6} |
13 |
(4,3) |
Topological data
| Vertex degrees | {4,3,4,6} |
| 2D vertex symbol | {12.6.12.6}{12.6.6}{6.6.6.6}{6.6.6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<36.1:96:2 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 96,17 10 75 5 7 80 25 67 13 15 72 34 91 21 23 96 42 83 29 31 88 49 43 37 39 48 57 45 47 66 59 53 55 64 74 61 63 81 69 71 89 77 79 90 85 87 93 95,3 4 13 14 87 88 11 12 95 96 19 20 37 38 63 64 27 28 45 46 55 56 35 36 79 80 43 44 71 72 51 52 69 70 59 60 77 78 67 68 75 76 83 84 93 94 91 92:12 6 6 6 6 6 6,4 3 4 6 4 3 4 3 4 4 3 3 3> {(2, 62): 't3^-1', (2, 63): 't3^-1', (2, 54): 't2^-1', (2, 55): 't2^-1', (2, 46): 't2', (2, 47): 't2', (2, 15): 't1^-1', (2, 38): 't3', (2, 39): 't3', (1, 90): 'tau2', (1, 95): 'tau2', (1, 82): 'tau3^-1', (1, 87): 'tau3^-1', (2, 14): 't1^-1', (1, 74): 'tau2', (1, 79): 'tau2', (2, 6): 't1^-1', (2, 7): 't1^-1', (1, 71): 'tau3^-1', (1, 58): 'tau1^-1', (1, 63): 'tau1^-1', (1, 42): 'tau1^-1', (1, 47): 'tau1^-1', (1, 10): 'tau3'}