U-tiling: UQC3315
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc29 |
*344 |
(2,1,1) |
{3,4} |
{8.8.8}{8.8.8.8} |
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
|
|
sqc5588
|
mmm
|
P4/nmm |
129 |
tetragonal |
{4,3,4} |
14 |
(3,2) |
|
G
|
False
|
|
sqc5592
|
|
I41/a |
88 |
tetragonal |
{4,3,4} |
14 |
(3,3) |
|
D
|
False
|
|
sqc5590
|
iab
|
I41/amd |
141 |
tetragonal |
{4,3,4} |
14 |
(3,2) |
Topological data
| Vertex degrees | {4,3,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:96:2 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 96,37 14 9 5 42 43 20 11 48 49 27 17 54 61 33 23 66 67 80 29 72 55 92 35 60 56 45 41 68 47 74 69 53 63 59 86 65 71 91 87 77 96 85 93 83 90 89 95,3 4 17 18 9 10 23 24 15 16 21 22 27 28 83 84 33 34 95 96 39 40 59 60 45 46 71 72 51 52 77 78 57 58 63 64 89 90 69 70 75 76 81 82 87 88 93 94:8 8 8 8 8 8,4 3 4 3 4 4 4 3 3 3 3 3 3 4> {(1, 56): 't2^-1', (1, 90): 't2^-1*tau3*t1*tau2^-1*t3^-1', (1, 92): 'tau1', (1, 48): 't3*tau2', (1, 54): 'tau3^-1*t2', (1, 84): 't2*tau3^-1*t1^-1*tau2*t3', (1, 36): 't1', (1, 86): 'tau1^-1', (1, 42): 't1', (1, 26): 't3^-1', (1, 32): 't2^-1', (1, 66): 'tau2*t3', (1, 68): 't3^-1', (1, 60): 't2*tau3^-1'}