U-tiling: UQC312
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc290 |
*2244 |
(2,3,2) |
{3,12} |
{4.8.4}{4.4.8.4.4.8.4.4.8.4.4.8} |
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
|
|
sqc757
|
|
P4/mmm |
123 |
tetragonal |
{3,12} |
5 |
(2,3) |
|
G
|
False
|
|
sqc5065
|
|
I41/a |
88 |
tetragonal |
{3,12} |
10 |
(2,4) |
|
D
|
False
|
|
sqc4959
|
|
I41/amd |
141 |
tetragonal |
{3,12} |
10 |
(2,3) |
Topological data
| Vertex degrees | {3,12} |
| 2D vertex symbol | {4.8.4}{4.4.8.4.4.8.4.4.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<17.1:96:7 4 5 12 10 11 25 16 17 30 31 22 23 36 28 29 34 35 43 40 41 48 46 47 67 52 53 72 61 58 59 66 64 65 70 71 85 76 77 90 91 82 83 96 88 89 94 95,2 39 6 17 8 45 12 23 14 51 18 20 63 24 26 69 30 83 32 57 36 95 38 42 59 44 48 71 50 54 77 56 60 62 66 89 68 72 74 93 78 80 87 84 86 90 92 96,37 3 5 42 43 9 11 48 49 15 17 54 61 21 23 66 67 27 29 72 55 33 35 60 39 41 45 47 51 53 57 59 63 65 69 71 91 75 77 96 85 81 83 90 87 89 93 95:4 8 8 4 4 4 4 4 4 4,3 12 3 12 3 3 3 3 3 3> {(0, 48): 't3', (2, 59): 'tau3^-1*t2', (2, 53): 't3*tau2', (0, 60): 't2', (2, 47): 't1', (2, 89): 't2*tau3^-1*t1^-1*tau2*t3', (0, 59): 't2^-1', (0, 53): 't3', (0, 30): 't2^-1', (0, 84): 'tau1^-1', (0, 23): 't2', (0, 83): 'tau1^-1', (0, 89): 'tau1^-1', (2, 95): 't2^-1*tau3*t1*tau2^-1*t3^-1', (2, 41): 't1', (0, 24): 't3^-1', (0, 29): 't3^-1', (2, 29): 't3^-1*tau2^-1', (2, 23): 'tau3*t2^-1', (0, 90): 'tau1', }