U-tiling: UQC4205
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
|
|
sqc5004
|
|
R-3m |
166 |
rhombohedral |
{4,3,4,6} |
13 |
(4,3) |
|
G
|
False
|
|
sqc5003
|
|
R-3 |
148 |
rhombohedral |
{4,3,4,6} |
13 |
(4,4) |
|
D
|
False
|
|
sqc5343
|
|
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
<36.2:96:2 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 82 19 5 7 24 65 90 27 13 15 32 89 58 21 23 81 50 29 31 41 74 51 37 39 56 66 59 45 47 64 57 53 55 61 63 83 69 71 88 91 77 79 96 85 87 93 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 92:12 6 6 6 6 6 6,4 3 4 6 4 3 3 4 3 4 4 3 3> {(2, 60): 't3^-1', (2, 61): 't3^-1', (2, 52): 't2^-1', (2, 53): 't2^-1', (2, 44): 't2', (2, 45): 't2', (2, 36): 't3', (2, 37): 't3', (2, 12): 't1^-1', (2, 13): 't1^-1', (1, 81): 't1', (1, 73): 't3^-1', (1, 72): 'tau2', (2, 4): 't1^-1', (2, 5): 't1^-1', (1, 57): 't3^-1', (1, 56): 'tau1^-1', (1, 41): 't2', (1, 32): 'tau1', (1, 25): 't2', (1, 24): 'tau3', (1, 16): 'tau2^-1', (1, 9): 't1^-1', (1, 8): 'tau3'}