U-tiling: UQC1572
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
|
|
sqc6144
|
|
R-3m |
166 |
rhombohedral |
{3,12} |
9 |
(2,4) |
|
G
|
False
|
|
sqc6143
|
|
R-3 |
148 |
rhombohedral |
{3,12} |
9 |
(2,5) |
|
D
|
False
|
|
sqc6145
|
|
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
<46.2:108:82 4 5 87 88 26 27 73 13 14 78 79 35 36 100 22 23 105 106 91 31 32 96 97 46 40 41 51 52 62 63 49 50 71 72 64 58 59 69 70 67 68 76 77 98 99 85 86 107 108 94 95 103 104,2 21 6 8 97 18 11 30 15 17 106 20 24 26 70 45 29 33 35 61 54 38 57 42 44 88 47 66 51 53 79 56 60 62 81 65 69 71 90 74 93 78 80 83 102 87 89 92 96 98 108 101 105 107,19 3 5 7 9 28 12 14 16 18 21 23 25 27 30 32 34 36 55 39 41 43 45 64 48 50 52 54 57 59 61 63 66 68 70 72 91 75 77 79 81 100 84 86 88 90 93 95 97 99 102 104 106 108:4 3 6 6 4 3 4 4 4 3 3 4 3 3,3 12 3 12 12 3 3 3 3> {(0, 51): 'tau1^-1', (0, 18): 'tau2^-1', (0, 45): 'tau1^-1', (1, 60): 't2^-1', (1, 42): 't3', (0, 5): 'tau2^-1', (0, 59): 'tau1', (0, 9): 'tau3', (0, 63): 'tau1^-1', (0, 23): 'tau2^-1', (0, 27): 'tau3', (1, 24): 't3', (0, 6): 'tau2^-1', (0, 60): 'tau1', (0, 32): 'tau3', (0, 24): 'tau2^-1', (0, 14): 'tau3', (0, 50): 'tau1^-1', (1, 78): 't2^-1', (0, 33): 'tau3', (0, 0): 'tau2^-1', (1, 105): 't1', (0, 15): 'tau3', (1, 96): 't1', }