U-tiling: UQC174
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc163 |
*22222 |
(2,2,2) |
{6,4} |
{6.4.6.6.4.6}{6.4.6.4} |
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) |
|
P
|
True
|
|
sqc325
|
tcs
|
I4/mmm |
139 |
tetragonal |
{4,5} |
4 |
(2,2) |
|
G
|
False
|
|
sqc3562
|
|
Fddd |
70 |
orthorhombic |
{6,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc11
|
fsc
|
P4/mmm |
123 |
tetragonal |
{6,4} |
2 |
(2,2) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {6.4.6.6.4.6}{6.4.6.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:80:46 4 5 56 9 10 66 14 15 76 19 20 51 24 25 41 29 30 71 34 35 61 39 40 44 45 49 50 54 55 59 60 64 65 69 70 74 75 79 80,2 8 44 25 7 54 30 12 18 64 35 17 74 40 22 28 59 27 49 32 38 79 37 69 42 53 60 47 58 55 52 57 62 73 80 67 78 75 72 77,11 3 5 16 8 10 13 15 18 20 31 23 25 36 28 30 33 35 38 40 61 43 45 66 48 50 71 53 55 76 58 60 63 65 68 70 73 75 78 80:6 4 6 6 4 6 4 4,6 4 4 4 4 6 6 6> {(1, 34): 't1', (2, 45): 't3^-1', (0, 45): 't3^-1', (1, 57): 'tau1', (0, 50): 't2', (0, 40): 't3', (1, 39): 't1', (1, 78): 'tau3', (2, 50): 't2', (1, 73): 'tau3^-1', (1, 79): 'tau3*t1*tau2^-1', (0, 55): 't2^-1', (1, 72): 't2^-1*tau1^-1*t3', (1, 68): 'tau2^-1', (1, 52): 'tau1^-1', (1, 77): 't2*tau1*t3^-1', (1, 74): 'tau3^-1*t1^-1*tau2', (2, 60): 't3^-1', (2, 55): 't2^-1', (1, 63): 'tau2', }