U-tiling: UQC113
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc114 |
*2244 |
(2,3,2) |
{16,4} |
{4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4... |
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
|
|
sqc1
|
pcu
|
Pm-3m |
221 |
cubic |
{6} |
1 |
(1,1) |
|
G
|
False
|
|
sqc3308
|
|
I41/amd |
141 |
tetragonal |
{16,4} |
4 |
(2,3) |
|
D
|
True
|
|
sqc1618
|
|
I41/amd |
141 |
tetragonal |
{12,4} |
4 |
(2,3) |
Topological data
| Vertex degrees | {16,4} |
| 2D vertex symbol | {4.3.3.4.4.3.3.4.4.3.3.4.4.3.3.4}{3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:80:6 32 33 5 37 38 10 21 42 43 15 26 52 53 20 57 58 25 47 48 30 36 35 40 56 45 51 50 55 60 71 77 78 65 76 72 73 70 75 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 79,31 3 14 15 36 8 19 20 41 13 51 18 56 23 69 70 46 28 79 80 33 49 50 38 59 60 43 64 65 48 53 74 75 58 76 63 71 68 73 78:4 3 3 4 3 4 3 3 3 4 3 3,16 4 16 4> {(2, 60): 't3*tau2*t1^-1*tau3^-1*t2', (2, 30): 't1', (0, 25): 't2^-1', (0, 60): 'tau1', (0, 75): 'tau1', (0, 50): 't2', (2, 55): 'tau2*t3', (0, 55): 't3^-1', (2, 50): 't2*tau3^-1', (2, 45): 'tau3^-1*t2', (2, 40): 't3*tau2', (0, 20): 't3^-1', (2, 70): 't2*tau3^-1*t1^-1*tau2*t3', (2, 35): 't1'}