U-tiling: UQC2468
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1687 |
*2626 |
(2,5,5) |
{7,4} |
{6.4.4.3.3.4.4}{4.6.4.3} |
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
|
|
sqc8229
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc8223
|
|
R-3 |
148 |
rhombohedral |
{7,4} |
12 |
(2,6) |
|
D
|
False
|
|
sqc8225
|
|
R-3m |
166 |
rhombohedral |
{7,4} |
12 |
(2,5) |
Topological data
| Vertex degrees | {7,4} |
| 2D vertex symbol | {6.4.4.3.3.4.4}{4.6.4.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<64.1:132:23 4 5 17 18 19 20 120 121 34 15 16 131 132 26 27 50 51 52 53 87 88 37 38 61 62 63 64 76 77 67 48 49 109 110 78 59 60 98 99 70 71 94 95 96 97 81 82 105 106 107 108 111 92 93 122 103 104 114 115 127 128 129 130 125 126,2 8 26 6 29 10 110 13 19 37 17 40 21 99 24 30 28 32 132 35 41 39 43 121 46 52 70 50 73 54 66 57 63 81 61 84 65 68 74 72 76 88 79 85 83 87 90 96 114 94 117 98 101 107 125 105 128 109 112 118 116 120 123 129 127 131,100 3 5 7 9 11 89 14 16 18 20 22 122 25 27 29 31 33 111 36 38 40 42 44 56 47 49 51 53 55 58 60 62 64 66 78 69 71 73 75 77 80 82 84 86 88 91 93 95 97 99 102 104 106 108 110 113 115 117 119 121 124 126 128 130 132:3 4 6 4 6 3 4 4 4 4 3 3 4 4 3 3 4,7 4 7 4 7 7 7 4 4 7 4 4> {(2, 33): 'tau3', (1, 87): 'tau1^-1', (0, 42): 't2', (0, 9): 't1^-1', (2, 77): 'tau1^-1', (0, 97): 't2^-1', (2, 44): 'tau1', (2, 11): 'tau3', (1, 32): 'tau2^-1', (1, 98): 'tau3^-1', (2, 22): 'tau2^-1', (2, 0): 'tau2^-1', (0, 31): 't3', (0, 53): 't3', (0, 43): 't2', (0, 20): 't1^-1', (0, 10): 't1^-1', (0, 32): 't3', (0, 98): 't2^-1', (1, 120): 'tau3^-1', (1, 109): 'tau2', (0, 21): 't1^-1', (0, 54): 't3', (1, 65): 'tau1^-1', }