U-tiling: UQC141
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc140 |
*2244 |
(2,3,2) |
{3,4} |
{4.16.16}{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
|
True
|
|
sqc3053
|
|
P42/mmc |
131 |
tetragonal |
{3,3} |
12 |
(2,3) |
|
G
|
False
|
|
sqc3705
|
|
I-42d |
122 |
tetragonal |
{4,3} |
12 |
(2,3) |
|
D
|
False
|
|
sqc476
|
|
P4/mmm |
123 |
tetragonal |
{3,4} |
6 |
(2,3) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {4.16.16}{16.16.16.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.1:80:6 3 14 15 8 19 20 21 13 26 18 23 34 35 28 39 40 36 33 38 46 43 54 55 48 59 60 61 53 66 58 63 74 75 68 79 80 76 73 78,2 4 35 7 9 40 12 14 20 17 19 22 24 30 27 29 32 34 37 39 42 44 75 47 49 80 52 54 60 57 59 62 64 70 67 69 72 74 77 79,41 32 33 5 46 37 38 10 51 17 18 15 56 20 61 27 28 25 66 30 71 35 76 40 72 73 45 77 78 50 57 58 55 60 67 68 65 70 75 80:16 4 16 4,4 3 4 3 4 3 4 3 3 3 3 3> {(2, 47): 't1^-1*tau2*t3', (0, 18): 't1', (0, 74): 'tau1^-1', (0, 55): 't1*tau2^-1*t3^-1', (0, 34): 't3^-1', (0, 78): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 59): 'tau3^-1', (0, 38): 't3^-1*tau2^-1*t3^-1', (0, 19): 't1', (0, 63): 'tau1', (2, 37): 't3^-1*tau2^-1*t1', (0, 79): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 39): 't3^-1*tau2^-1*t3^-1', (0, 53): 't2^-1', (1, 79): 't3^-1*tau2^-1*t1', (1, 39): 't3^-1*tau2^-1*t1', (2, 46): 't1^-1*tau2*t3', (0, 33): 't3^-1', (2, 6): 't1^-1*tau2*t3', (0, 54): 't2^-1', (0, 25): 't3*tau2*t1^-1', (0, 58): 'tau3^-1', }