U-tiling: UQC169
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
|
|
sqc2750
|
|
P4/mmm |
123 |
tetragonal |
{5,4} |
8 |
(2,2) |
|
G
|
False
|
|
sqc3474
|
|
I4122 |
98 |
tetragonal |
{6,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc426
|
|
P4222 |
93 |
tetragonal |
{6,4} |
4 |
(2,2) |
Topological data
| Vertex degrees | {6,4} |
| 2D vertex symbol | {6.4.6.6.4.6}{6.4.6.4} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.2:80:21 3 5 26 8 10 31 13 15 41 18 20 23 25 28 30 33 35 61 38 40 43 45 66 48 50 71 53 55 76 58 60 63 65 68 70 73 75 78 80,2 13 14 10 7 18 19 12 20 17 22 33 34 40 27 43 44 50 32 55 37 53 54 42 60 47 58 59 52 57 62 73 74 70 67 78 79 72 80 77,46 4 5 36 9 10 56 14 15 51 19 20 66 24 25 61 29 30 76 34 35 39 40 71 44 45 49 50 54 55 59 60 64 65 69 70 74 75 79 80:6 4 6 4 4 6 6 4,6 4 6 6 4 6 4 4> {(1, 57): 'tau3^-1*t2', (1, 59): 'tau3^-1', (1, 43): 'tau3*t2^-1', (1, 17): 't1', (1, 49): 't2^-1', (1, 19): 't1', (2, 55): 't1', (0, 55): 't1', (1, 52): 'tau2*t3', (1, 73): 't1*tau3*t2^-1', (1, 72): 'tau2*t3', (0, 40): 't1^-1', (1, 74): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (2, 40): 't1^-1', (1, 64): 'tau1^-1', (1, 78): 'tau2^-1*t3^-1', (1, 33): 'tau2^-1*t3^-1', (1, 77): 't1^-1*tau3^-1*t2', (1, 3): 't1', (1, 54): 'tau2', (1, 39): 't3^-1'}