U-tiling: UQC1583
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1085 |
*2626 |
(2,4,4) |
{4,5} |
{6.8.3.8}{8.6.8.3.3} |
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
|
|
sqc6216
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
12 |
(2,4) |
|
G
|
False
|
|
sqc6204
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
12 |
(2,5) |
|
D
|
False
|
|
sqc6202
|
|
R-3m |
166 |
rhombohedral |
{5,4} |
12 |
(2,4) |
Topological data
| Vertex degrees | {4,5} |
| 2D vertex symbol | {6.8.3.8}{8.6.8.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<51.1:108:19 4 5 15 16 98 99 28 13 14 107 108 22 23 42 43 71 72 31 32 51 52 62 63 55 40 41 89 90 64 49 50 80 81 58 59 78 79 67 68 87 88 91 76 77 100 85 86 94 95 105 106 103 104,2 8 22 6 25 90 11 17 31 15 34 81 20 26 24 108 29 35 33 99 38 44 58 42 61 54 47 53 67 51 70 56 62 60 72 65 71 69 74 80 94 78 97 83 89 103 87 106 92 98 96 101 107 105,82 3 5 7 9 73 12 14 16 18 100 21 23 25 27 91 30 32 34 36 46 39 41 43 45 48 50 52 54 64 57 59 61 63 66 68 70 72 75 77 79 81 84 86 88 90 93 95 97 99 102 104 106 108:3 8 6 6 3 8 8 3 3 3 3,5 4 5 4 5 5 5 4 4 5 4 4> {(2, 27): 'tau3', (0, 8): 't1^-1', (0, 62): 't2^-1', (0, 26): 't3', (0, 52): 't2', (1, 71): 'tau1^-1', (1, 107): 'tau2', (1, 98): 'tau3^-1', (0, 16): 't1^-1', (2, 0): 'tau2^-1', (0, 43): 't3', (0, 53): 't2', (2, 45): 'tau1^-1', (2, 18): 'tau2^-1', (2, 63): 'tau1^-1', (0, 17): 't1^-1', (0, 7): 't1^-1', (1, 53): 'tau1^-1', (0, 61): 't2^-1', (1, 89): 'tau2', (1, 80): 'tau3^-1', (0, 44): 't3', (0, 25): 't3', (2, 9): 'tau3', }