U-tiling: UQC188
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc170 |
*2244 |
(2,2,2) |
{3,8} |
{12.4.12}{12.4.12.4.12.4.12.4} |
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) |
|
G
|
False
|
|
sqc3785
|
|
I-42d |
122 |
tetragonal |
{3,8} |
10 |
(2,3) |
|
D
|
False
|
|
sqc494
|
tty
|
P4/mmm |
123 |
tetragonal |
{3,8} |
5 |
(2,2) |
Topological data
| Vertex degrees | {3,8} |
| 2D vertex symbol | {12.4.12}{12.4.12.4.12.4.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:80:6 4 5 9 10 21 14 15 26 19 20 24 25 29 30 36 34 35 39 40 46 44 45 49 50 61 54 55 66 59 60 64 65 69 70 76 74 75 79 80,2 43 14 35 7 48 19 40 12 53 20 17 58 22 63 34 30 27 68 39 32 73 37 78 42 54 75 47 59 80 52 60 57 62 74 70 67 79 72 77,41 3 5 46 8 10 51 13 15 56 18 20 61 23 25 66 28 30 71 33 35 76 38 40 43 45 48 50 53 55 58 60 63 65 68 70 73 75 78 80:12 4 4 4 4 12,3 8 3 3 3 3 3 3 3 8> {(1, 79): 't3^-1*tau2^-1*t1', (0, 55): 't1*tau2^-1*t3^-1', (1, 73): 'tau1^-1', (1, 39): 't3^-1*tau2^-1*t1', (1, 33): 't3^-1', (1, 53): 't2^-1', (1, 58): 'tau3^-1', (1, 78): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 18): 't1', (1, 38): 't3^-1*tau2^-1*t3^-1', (0, 25): 't3*tau2*t1^-1', }