U-tiling: UQC1450
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc928 |
*2626 |
(2,5,4) |
{5,4} |
{6.4.4.4.4}{4.12.12.4} |
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
|
False
|
|
sqc6210
|
|
R-3m |
166 |
rhombohedral |
{4,5} |
12 |
(2,5) |
|
G
|
False
|
|
sqc6207
|
|
R-3 |
148 |
rhombohedral |
{4,5} |
12 |
(2,5) |
|
D
|
False
|
|
sqc6206
|
|
R-3m |
166 |
rhombohedral |
{4,5} |
12 |
(2,5) |
Topological data
| Vertex degrees | {5,4} |
| 2D vertex symbol | {6.4.4.4.4}{4.12.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<42.1:108:19 11 12 5 15 16 98 99 28 14 107 108 38 39 23 42 43 71 72 47 48 32 51 52 62 63 55 41 89 90 64 50 80 81 74 75 59 78 79 83 84 68 87 88 91 77 100 86 101 102 95 105 106 104,2 4 6 8 90 11 13 15 17 81 20 22 24 26 108 29 31 33 35 99 38 40 42 44 54 47 49 51 53 56 58 60 62 72 65 67 69 71 74 76 78 80 83 85 87 89 92 94 96 98 101 103 105 107,82 3 85 86 7 9 73 12 76 77 16 18 100 21 103 104 25 27 91 30 94 95 34 36 46 39 49 50 43 45 48 52 54 64 57 67 68 61 63 66 70 72 75 79 81 84 88 90 93 97 99 102 106 108:12 4 4 6 4 4 4 4 4 4 4,4 5 4 5 4 5 4 5 4 5 4 5> {(1, 98): 'tau3^-1', (0, 16): 't1^-1', (2, 27): 'tau3', (2, 0): 'tau2^-1', (2, 58): 'tau1', (2, 22): 'tau2^-1', (1, 26): 'tau2^-1', (0, 8): 't1^-1', (0, 53): 't2', (0, 62): 't2^-1', (0, 43): 't3', (2, 18): 'tau2^-1', (2, 12): 'tau3', (2, 49): 'tau1^-1', (2, 94): 'tau3^-1', (2, 63): 'tau1^-1', (2, 36): 'tau1', (2, 30): 'tau3', (2, 3): 'tau2^-1', (1, 62): 'tau1', (0, 17): 't1^-1', (0, 26): 't3', (1, 53): 'tau1^-1', (0, 61): 't2^-1', (2, 21): 'tau2^-1', (1, 89): 'tau2', (2, 57): 'tau1', (1, 80): 'tau3^-1', (2, 13): 'tau3', (0, 52): 't2', (0, 97): 't1', (2, 48): 'tau1^-1', (0, 44): 't3', (0, 25): 't3', (2, 4): 'tau2^-1', (2, 9): 'tau3', }