U-tiling: UQC4767
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1610 |
*4444 |
(4,4,2) |
{4,16,3,8} |
{16.16.16.16}{16.3.3.16.16.3.3.1... |
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
|
|
sqc2219
|
|
P4/mmm |
123 |
tetragonal |
{3,8,14} |
6 |
(3,4) |
|
G
|
False
|
|
sqc3314
|
|
I-4m2 |
119 |
tetragonal |
{4,16,3,8} |
7 |
(4,4) |
|
D
|
False
|
|
sqc3301
|
|
I-4m2 |
119 |
tetragonal |
{4,16,3,8} |
7 |
(4,4) |
Topological data
| Vertex degrees | {4,16,3,8} |
| 2D vertex symbol | {16.16.16.16}{16.3.3.16.16.3.3.16.16.3.3.16.16.3.3.16}{16.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<5.2:80:2 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 66 68 70 72 74 76 78 80,21 3 64 7 10 9 31 13 74 17 20 19 23 34 27 30 29 33 37 40 39 61 43 54 47 50 49 71 53 57 60 59 63 67 70 69 73 77 80 79,11 12 5 6 27 28 69 70 15 16 37 38 79 80 41 42 25 26 39 40 51 52 35 36 45 46 67 68 59 60 55 56 77 78 71 72 65 66 75 76:16 3 3 3 3 3 3 3 3,4 16 3 8 3 3 3> {(1, 10): 't1^-1', (2, 56): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 57): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 26): 't2^-1', (2, 27): 't2^-1', (2, 50): 't3*tau2*t1^-1', (2, 51): 't3*tau2*t1^-1', (1, 73): 't3^-1*tau2^-1*t1', (2, 46): 'tau1', (2, 47): 'tau1', (2, 18): 't1^-1*tau2*t3', (2, 36): 'tau3^-1', (2, 37): 'tau3^-1', (2, 19): 't1^-1*tau2*t3', (1, 60): 't3^-1', (1, 70): 't3^-1*tau2^-1*t3^-1'}