U-tiling: UQC36
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc109 |
*2244 |
(1,3,3) |
{5} |
{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
|
|
sqc464
|
fee
|
P4/mmm |
123 |
tetragonal |
{5} |
4 |
(1,3) |
|
G
|
False
|
|
sqc3260
|
|
I41/a |
88 |
tetragonal |
{5} |
8 |
(1,3) |
|
D
|
False
|
|
sqc3257
|
|
I41/amd |
141 |
tetragonal |
{5} |
8 |
(1,3) |
Topological data
| Vertex degrees | {5} |
| 2D vertex symbol | {4.8.4.4.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:80:6 32 33 14 15 37 38 19 20 21 42 43 26 52 53 57 58 69 70 47 48 79 80 36 49 50 59 60 56 64 65 51 74 75 71 77 78 76 72 73,2 4 35 7 9 40 12 14 45 17 19 55 22 24 60 27 29 50 32 34 37 39 42 44 47 49 52 54 57 59 62 64 80 67 69 75 72 74 77 79,31 3 5 36 8 10 41 13 15 51 18 20 56 23 25 46 28 30 33 35 38 40 43 45 48 50 53 55 58 60 76 63 65 71 68 70 73 75 78 80:4 8 4 8 4 4 4 4,5 5 5 5 5 5 5 5> {(0, 51): 't2*tau3^-1', (0, 41): 't3*tau2', (0, 62): 't3*tau2*t1^-1*tau3^-1*t2', (0, 55): 't3^-1', (0, 71): 't2*tau3^-1*t1^-1*tau2*t3', (0, 75): 'tau1', (0, 52): 't2*tau3^-1', (0, 42): 't3*tau2', (0, 56): 'tau2*t3', (0, 46): 'tau3^-1*t2', (0, 60): 'tau1', (0, 31): 't1', (0, 72): 't2*tau3^-1*t1^-1*tau2*t3', (0, 20): 't3^-1', (0, 32): 't1', (0, 57): 'tau2*t3', (0, 47): 'tau3^-1*t2', (0, 36): 't1', (0, 61): 't3*tau2*t1^-1*tau3^-1*t2', (0, 50): 't2', (0, 25): 't2^-1', (0, 37): 't1', }