U-tiling: UQC4172
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc747 |
*4444 |
(4,4,2) |
{3,8,8,4} |
{4.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7... |
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) |
|
G
|
False
|
|
sqc1823
|
|
I-4m2 |
119 |
tetragonal |
{3,8,8,4} |
7 |
(4,4) |
|
D
|
False
|
|
sqc1837
|
|
I-4m2 |
119 |
tetragonal |
{3,8,8,4} |
7 |
(4,4) |
Topological data
| Vertex degrees | {3,8,8,4} |
| 2D vertex symbol | {4.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.2:64:17 18 4 6 8 25 26 12 14 16 20 22 24 28 30 32 49 50 36 38 40 57 58 44 46 48 52 54 56 60 62 64,9 3 5 7 24 11 13 15 32 33 19 21 23 41 27 29 31 35 37 39 56 43 45 47 64 57 51 53 55 59 61 63,2 11 12 21 22 55 56 10 29 30 63 64 18 35 36 31 32 26 43 44 34 53 54 47 48 42 61 62 50 59 60 58:4 7 7 7 7,3 8 8 4 3 3 3> {(2, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 61): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (0, 56): 't3^-1*tau2^-1*t3^-1', (0, 57): 't3^-1*tau2^-1*t3^-1', (2, 52): 'tau1^-1', (2, 53): 'tau1^-1', (0, 48): 't3^-1', (0, 49): 't3^-1', (2, 62): 't3^-1*tau2^-1*t1', (2, 42): 't3*tau2*t1^-1', (2, 43): 't3*tau2*t1^-1', (2, 28): 'tau3^-1', (2, 29): 'tau3^-1', (0, 24): 't1', (0, 25): 't1', (2, 20): 't2^-1', (2, 21): 't2^-1', (2, 15): 't1^-1*tau2*t3', (1, 63): 't3^-1*tau2^-1*t3^-1', (1, 55): 't3^-1', (1, 40): 't3*tau2*t1^-1', (1, 31): 't1'}