U-tiling: UQC4241
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc106 |
2*44 |
(2,2,1) |
{4,3} |
{16.16.16.16}{16.16.16} |
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
|
|
sqc185
|
hof
|
I4/mmm |
139 |
tetragonal |
{4,3} |
5 |
(2,2) |
|
G
|
False
|
|
sqc2197
|
|
I4/mcm |
140 |
tetragonal |
{4,3} |
10 |
(2,3) |
Topological data
| Vertex degrees | {4,3,3,4} |
| 2D vertex symbol | {16.16.16.16}{16.16.16}{16.16.16}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<19.1:64:2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 44 46 48 50 52 54 56 58 60 62 64,9 3 20 21 7 56 11 28 29 15 64 33 19 23 32 41 27 31 35 52 53 39 48 43 60 61 47 57 51 55 59 63,17 18 5 6 23 24 25 26 13 14 31 32 21 22 29 30 49 50 37 38 55 56 57 58 45 46 63 64 53 54 61 62:16 16,4 3 3 4 3 3 3 3 3 3> {(2, 62): 't3^-1*tau2^-1*t3^-1', (2, 63): 't3^-1*tau2^-1*t3^-1', (2, 56): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 57): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 54): 't3^-1', (2, 55): 't3^-1', (2, 48): 'tau1^-1', (2, 49): 'tau1^-1', (2, 30): 't1', (2, 31): 't1', (2, 24): 'tau3^-1', (2, 25): 'tau3^-1', (2, 16): 't2^-1', (2, 17): 't2^-1', (1, 59): 't3^-1*tau2^-1*t3^-1', (1, 60): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (1, 63): 't3^-1*tau2^-1*t1', (1, 51): 't3^-1', (1, 52): 'tau1^-1', (1, 40): 't3*tau2*t1^-1', (1, 27): 't1', (1, 28): 'tau3^-1', (1, 20): 't2^-1'}