U-tiling: UQC172
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
|
|
sqc320
|
xah
|
P4/mmm |
123 |
tetragonal |
{4,5} |
4 |
(2,2) |
|
G
|
False
|
|
sqc3573
|
|
I4122 |
98 |
tetragonal |
{6,4} |
8 |
(2,3) |
|
D
|
False
|
|
sqc422
|
cdq
|
P42/mmc |
131 |
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 |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:80:11 3 5 16 8 10 13 15 18 20 31 23 25 41 28 30 33 35 51 38 40 43 45 56 48 50 53 55 58 60 71 63 65 76 68 70 73 75 78 80,2 8 49 15 7 39 20 12 18 59 17 54 22 38 69 35 27 48 64 45 32 53 79 37 55 42 58 74 47 60 52 57 62 68 75 67 80 72 78 77,21 4 5 26 9 10 31 14 15 41 19 20 24 25 29 30 34 35 61 39 40 44 45 66 49 50 71 54 55 76 59 60 64 65 69 70 74 75 79 80:6 4 4 6 4 6 4 6,6 4 6 6 6 4 4 4> {(1, 57): 'tau3^-1', (1, 58): 't1', (1, 47): 't2^-1', (0, 60): 't3^-1*tau2^-1', (0, 75): 't1^-1*tau3^-1*t2', (0, 50): 'tau2*t3', (2, 55): 't1', (0, 55): 'tau3^-1*t2', (1, 52): 'tau2', (1, 73): 't1', (1, 72): 'tau2*t3*tau1^-1*t2^-1*tau3*t1', (1, 74): 't1*tau3*t2^-1', (2, 40): 't1^-1', (0, 15): 't1', (1, 79): 'tau2^-1*t3^-1', (1, 14): 't1^-1', (1, 17): 't1', (1, 67): 'tau1', (1, 34): 'tau2^-1*t3^-1', (1, 37): 't3^-1', (1, 44): 'tau3*t2^-1'}