U-tiling: UQC4209
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc75 |
*446 |
(2,2,2) |
{3,6} |
{4.12.12}{12.12.12.12.12.12} |
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
|
|
sqc5442
|
|
R-3m |
166 |
rhombohedral |
{3,3,6,6} |
14 |
(4,3) |
|
G
|
False
|
|
sqc5443
|
|
R-3m |
166 |
rhombohedral |
{3,3,6,6} |
14 |
(4,4) |
|
D
|
False
|
|
sqc5442
|
|
R-3m |
166 |
rhombohedral |
{3,3,6,6} |
14 |
(4,3) |
Topological data
| Vertex degrees | {3,3,6,6} |
| 2D vertex symbol | {4.12.12}{4.12.12}{12.12.12.12.12.12}{12.12.12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<37.1:96:2 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 7 86 16 65 26 13 15 94 89 21 23 62 40 81 29 31 54 48 41 50 37 39 78 58 45 47 70 57 53 55 72 61 63 80 82 69 71 90 77 79 85 87 96 93 95,3 4 77 78 23 24 11 12 69 70 31 32 19 20 93 94 27 28 85 86 35 36 45 46 55 56 43 44 63 64 51 52 61 62 59 60 67 68 87 88 75 76 95 96 83 84 91 92:4 12 4 12 12 4,3 3 6 6 3 3 3 3 3 3 3 3 3 3> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (2, 44): 'tau1^-1', (2, 45): 'tau1^-1', (2, 28): 'tau3', (2, 29): 'tau3', (1, 93): 't1', (2, 20): 'tau2^-1', (2, 21): 'tau2^-1', (1, 85): 't1', (2, 12): 'tau3', (2, 13): 'tau3', (1, 77): 't3^-1', (2, 4): 'tau2^-1', (2, 5): 'tau2^-1', (1, 69): 't2^-1', (1, 56): 'tau1^-1', (1, 61): 't3^-1', (1, 53): 't2^-1', (1, 40): 'tau1^-1', (1, 24): 'tau3', (1, 16): 'tau2^-1', (1, 8): 'tau3', (1, 0): 'tau2^-1'}