U-tiling: UQC74
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc174 |
*2244 |
(3,3,1) |
{4,8,4} |
{5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5} |
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
|
|
sqc61
|
fsd
|
P4/mmm |
123 |
tetragonal |
{4,6} |
3 |
(2,3) |
|
G
|
False
|
|
sqc3321
|
|
I41/a |
88 |
tetragonal |
{4,8,4} |
8 |
(3,3) |
|
D
|
False
|
|
sqc3387
|
|
I41/amd |
141 |
tetragonal |
{4,8,4} |
8 |
(3,3) |
Topological data
| Vertex degrees | {4,8,4} |
| 2D vertex symbol | {5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:80:31 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 80,2 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 79,6 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 73:5 5 5 5 5 5 5 5,4 8 4 8 4 4 4 4> {(2, 60): 'tau1', (2, 61): 't3*tau2*t1^-1*tau3^-1*t2', (2, 62): 't3*tau2*t1^-1*tau3^-1*t2', (2, 56): 'tau2*t3', (2, 57): 'tau2*t3', (2, 52): 't2*tau3^-1', (2, 55): 't3^-1', (2, 50): 't2', (2, 51): 't2*tau3^-1', (2, 46): 'tau3^-1*t2', (2, 47): 'tau3^-1*t2', (2, 41): 't3*tau2', (2, 42): 't3*tau2', (2, 36): 't1', (2, 37): 't1', (2, 32): 't1', (2, 31): 't1', (2, 25): 't2^-1', (2, 20): 't3^-1', (2, 72): 't2*tau3^-1*t1^-1*tau2*t3', (2, 75): 'tau1', (2, 71): 't2*tau3^-1*t1^-1*tau2*t3'}