U-tiling: UQC184
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc168 |
*2323 |
(2,2,2) |
{3,4} |
{9.6.9}{9.6.9.6} |
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
|
|
sqc7390
|
|
P4232 |
208 |
cubic |
{4,3} |
18 |
(2,2) |
|
G
|
False
|
|
sqc7389
|
|
I213 |
199 |
cubic |
{3,4} |
18 |
(2,3) |
|
D
|
False
|
|
sqc7391
|
tfb
|
Fm-3m |
225 |
cubic |
{3,4} |
18 |
(2,2) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {9.6.9}{9.6.9.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:120:6 4 5 9 10 21 14 15 26 19 20 24 25 29 30 41 34 35 46 39 40 44 45 49 50 81 54 55 86 59 60 91 64 65 101 69 70 106 74 75 111 79 80 84 85 89 90 94 95 116 99 100 104 105 109 110 114 115 119 120,2 18 14 40 7 28 34 80 12 63 60 17 69 75 22 93 44 105 27 84 95 32 108 100 37 53 59 42 73 55 47 83 109 115 52 104 57 98 62 114 110 67 113 90 72 89 77 103 99 82 120 87 118 92 119 97 102 107 112 117,16 3 5 26 8 10 61 13 15 18 20 91 23 25 28 30 106 33 35 51 38 40 71 43 45 81 48 50 53 55 96 58 60 63 65 111 68 70 73 75 101 78 80 83 85 116 88 90 93 95 98 100 103 105 108 110 113 115 118 120:9 6 6 6 9 9 6 9,3 4 3 4 3 4 3 4 4 3 3 3 3 4 3 3 3 3> {(1, 88): 'tau3', (1, 118): 'tau1', (2, 115): 't2^-1', (1, 114): 't2', (0, 45): 'tau3^-1', (1, 83): 'tau2', (1, 117): 't2^-1', (2, 110): 'tau1^-1*t3*tau2', (2, 50): 't1', (1, 82): 't1*tau3', (1, 102): 't3^-1', (1, 94): 't3^-1', (2, 55): 't2', (1, 112): 'tau1^-1*t3*tau2', (2, 45): 'tau3^-1*t1^-1', (0, 65): 'tau2^-1', (2, 100): 't3^-1', (1, 97): 't2^-1', (1, 89): 'tau3*t1', (1, 119): 'tau1*t3^-1*tau2^-1', (1, 109): 't2^-1', (1, 74): 't1', (0, 110): 'tau1^-1', (1, 52): 't1', }