U-tiling: UQC1739
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1306 |
*4444 |
(2,4,4) |
{4,8} |
{8.12.3.8}{3.12.3.12.3.12.3.12} |
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
|
|
sqc3775
|
|
P-4m2 |
115 |
tetragonal |
{8,4} |
9 |
(2,4) |
|
G
|
False
|
|
sqc3780
|
|
I-4 |
82 |
tetragonal |
{8,4,4} |
9 |
(3,5) |
|
D
|
False
|
|
sqc3776
|
|
I-4m2 |
119 |
tetragonal |
{8,4} |
9 |
(2,4) |
Topological data
| Vertex degrees | {8,4} |
| 2D vertex symbol | {8.12.3.8}{3.12.3.12.3.12.3.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:80:3 4 15 16 27 28 69 70 13 14 37 38 79 80 23 24 45 46 39 40 33 34 55 56 43 44 67 68 59 60 53 54 77 78 63 64 75 76 73 74,11 22 5 10 7 9 32 15 20 17 19 41 25 30 27 29 51 35 40 37 39 62 45 50 47 49 72 55 60 57 59 71 65 70 67 69 75 80 77 79,2 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 80:3 12 8 8 3 3 3,8 4 4 4 4 4 4 4 4> {(0, 55): 't3*tau2*t1^-1', (1, 71): 't3^-1*tau2^-1*t3^-1', (0, 19): 't1^-1*tau2*t3', (0, 18): 't1^-1*tau2*t3', (1, 31): 't1', (1, 50): 't3*tau2*t1^-1', (0, 54): 't3*tau2*t1^-1', (0, 57): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 56): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 47): 'tau1', (1, 61): 't3^-1', (0, 37): 'tau3^-1', (0, 46): 'tau1', (0, 27): 't2^-1', (0, 36): 'tau3^-1', (0, 26): 't2^-1', }