U-tiling: UQC227
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2 |
*239 |
(1,1,1) |
{9} |
{3.3.3.3.3.3.3.3.3} |
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
|
|
sqc2580
|
utx
|
I432 |
211 |
cubic |
{9} |
4 |
(1,2) |
|
G
|
False
|
|
sqc8558
|
utz
|
I4132 |
214 |
cubic |
{9} |
8 |
(1,3) |
|
D
|
False
|
|
sqc8843
|
uty
|
Fd-3m |
227 |
cubic |
{9} |
8 |
(1,2) |
Topological data
| Vertex degrees | {9,9} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<10.1:144:19 3 5 18 31 9 11 42 73 15 17 21 23 84 109 27 29 54 33 35 102 127 39 41 61 45 47 72 85 51 53 97 57 59 132 63 65 126 115 69 71 75 77 138 133 81 83 87 89 108 121 93 95 120 99 101 139 105 107 111 113 144 117 119 123 125 129 131 135 137 141 143,2 21 16 6 8 33 40 12 14 75 18 20 82 24 26 111 52 30 32 100 36 38 129 42 44 63 70 48 50 87 54 56 99 130 60 62 124 66 68 117 72 74 136 78 80 135 84 86 106 90 92 123 118 96 98 102 104 141 108 110 142 114 116 120 122 126 128 132 134 138 140 144,7 4 5 48 10 11 96 25 16 17 72 31 22 23 90 28 29 126 34 35 114 49 40 41 120 55 46 47 52 53 66 58 59 138 97 64 65 103 70 71 109 76 77 132 121 82 83 108 127 88 89 133 94 95 100 101 144 106 107 112 113 139 118 119 124 125 130 131 136 137 142 143:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,9 9 9 9 9 9 9 9> {(1, 122): 't3^-1', (0, 60): 't1', (2, 59): 't2^-1', (2, 54): 'tau3^-1', (0, 54): 'tau3^-1*t1^-1', (1, 116): 't2^-1', (1, 104): 't2', (1, 111): 'tau1^-1', (0, 35): 'tau2^-1', (1, 99): 'tau2', (1, 98): 't1*tau3', (2, 35): 't3', (1, 80): 'tau2^-1*t3^-1*tau1', (2, 23): 't1^-1', (1, 87): 'tau3^-1', (0, 138): 't2^-1', (2, 143): 'tau1*t3^-1*tau2^-1', (0, 143): 'tau1', (2, 132): 'tau1^-1', (0, 120): 't3^-1', (2, 120): 'tau2', (1, 62): 't1', (0, 114): 't2^-1', (0, 107): 'tau3', (2, 107): 'tau3*t1', (2, 77): 't2', (0, 78): 'tau2^-1*t3^-1*tau1'}