U-tiling: UQC1864
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1373 |
*2626 |
(2,4,4) |
{3,8} |
{4.4.18}{18.4.6.4.18.4.6.4} |
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
|
|
sqc7232
|
|
R-3m |
166 |
rhombohedral |
{8,3} |
15 |
(2,4) |
|
G
|
False
|
|
sqc7231
|
|
R-3 |
148 |
rhombohedral |
{8,3,3} |
15 |
(3,5) |
|
D
|
False
|
|
sqc7230
|
|
R-3m |
166 |
rhombohedral |
{8,3} |
15 |
(2,4) |
Topological data
| Vertex degrees | {8,3} |
| 2D vertex symbol | {4.4.18}{18.4.6.4.18.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:120:101 102 5 6 107 108 19 20 111 112 15 16 117 118 71 72 25 26 77 78 49 50 61 62 35 36 67 68 59 60 91 92 45 46 97 98 81 82 55 56 87 88 65 66 89 90 75 76 99 100 85 86 95 96 105 106 119 120 115 116,91 3 24 7 10 9 81 13 34 17 20 19 111 23 27 30 29 101 33 37 40 39 51 43 64 47 50 49 53 74 57 60 59 71 63 67 70 69 73 77 80 79 83 104 87 90 89 93 114 97 100 99 103 107 110 109 113 117 120 119,2 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 98 100 102 104 106 108 110 112 114 116 118 120:6 4 18 4 4 4 4 4 4 4 4,8 3 8 3 3 3 8 3 3 3 3 3 3 3 3> {(0, 51): 't2', (0, 41): 't3', (0, 1): 't1^-1', (0, 26): 't3', (1, 10): 'tau3', (0, 56): 't2', (0, 46): 't3', (0, 27): 't3', (0, 16): 't1^-1', (0, 6): 't1^-1', (0, 60): 't2^-1', (1, 90): 'tau2', (1, 110): 'tau2', (0, 20): 't3', (0, 10): 't1^-1', (1, 50): 'tau1^-1', (1, 70): 'tau1^-1', (0, 57): 't2', (0, 47): 't3', (0, 36): 't2', (0, 17): 't1^-1', (0, 7): 't1^-1', (0, 61): 't2^-1', (0, 50): 't2', (0, 40): 't3', (0, 21): 't3', (0, 11): 't1^-1', (0, 0): 't1^-1', (0, 37): 't2', (1, 30): 'tau3', }