U-tiling: UQC1571
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1077 |
*2626 |
(2,4,4) |
{12,3} |
{6.3.4.6.4.3.6.3.4.6.4.3}{3.4.4} |
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
|
|
sqc6145
|
|
R-3m |
166 |
rhombohedral |
{3,12} |
9 |
(2,4) |
|
G
|
False
|
|
sqc6142
|
|
R-3 |
148 |
rhombohedral |
{3,12} |
9 |
(2,5) |
|
D
|
False
|
|
sqc6144
|
|
R-3m |
166 |
rhombohedral |
{3,12} |
9 |
(2,4) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {6.3.4.6.4.3.6.3.4.6.4.3}{3.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<46.1:108:19 4 5 24 25 89 90 28 13 14 33 34 80 81 22 23 107 108 31 32 98 99 55 40 41 60 61 53 54 64 49 50 69 70 58 59 71 72 67 68 91 76 77 96 97 100 85 86 105 106 94 95 103 104,2 84 6 8 16 99 11 75 15 17 108 20 102 24 26 43 72 29 93 33 35 52 63 38 48 42 44 90 47 51 53 81 56 66 60 62 79 65 69 71 88 74 78 80 83 87 89 92 96 98 106 101 105 107,82 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 99 102 104 106 108:4 3 6 6 4 3 3 3 4 3 4 3 4 4,3 12 3 3 12 3 12 3 3> {(2, 27): 'tau3', (0, 8): 'tau2^-1', (0, 62): 'tau1', (1, 83): 'tau2', (0, 34): 'tau3', (1, 29): 'tau3', (0, 26): 'tau2^-1', (1, 74): 'tau3^-1', (0, 52): 'tau1^-1', (0, 35): 'tau3', (1, 71): 't3^-1', (1, 107): 't1', (1, 98): 't1', (0, 16): 'tau3', (2, 0): 'tau2^-1', (0, 53): 'tau1^-1', (2, 45): 'tau1^-1', (2, 18): 'tau2^-1', (1, 101): 'tau2', (2, 63): 'tau1^-1', (1, 62): 't2^-1', (0, 17): 'tau3', (0, 7): 'tau2^-1', (0, 61): 'tau1', (1, 89): 't3^-1', (1, 80): 't2^-1', (1, 47): 'tau1^-1', (0, 25): 'tau2^-1', (2, 9): 'tau3', (1, 65): 'tau1^-1', }