U-tiling: UQC4762
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1608 |
*4444 |
(4,4,2) |
{4,4,12,8} |
{16.16.16.16}{16.3.3.16}{16.3.3.... |
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
|
|
sqc2735
|
|
P4/mmm |
123 |
tetragonal |
{4,4,10,6} |
7 |
(4,4) |
|
G
|
False
|
|
sqc3300
|
|
I-4 |
82 |
tetragonal |
{4,4,12,8} |
7 |
(4,5) |
|
D
|
False
|
|
sqc3459
|
|
I-4m2 |
119 |
tetragonal |
{4,4,12,8} |
7 |
(4,4) |
Topological data
| Vertex degrees | {4,4,12,8} |
| 2D vertex symbol | {16.16.16.16}{16.3.3.16}{16.3.3.16.3.3.16.3.3.16.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<4.1:80:2 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 80,11 3 24 7 10 9 13 34 17 20 19 41 23 27 30 29 51 33 37 40 39 43 64 47 50 49 53 74 57 60 59 71 63 67 70 69 73 77 80 79,21 22 5 6 27 28 69 70 31 32 15 16 37 38 79 80 25 26 39 40 35 36 61 62 45 46 67 68 59 60 71 72 55 56 77 78 65 66 75 76:16 3 3 3 3 3 3 3 3,4 4 12 8 4 4 4> {(2, 60): 'tau1^-1', (2, 61): 'tau1^-1', (2, 56): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 57): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 50): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 51): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 46): 'tau1', (2, 47): 'tau1', (2, 36): 'tau3^-1', (2, 37): 'tau3^-1', (2, 30): 'tau3^-1', (2, 31): 'tau3^-1', (2, 26): 't2^-1', (2, 27): 't2^-1', (2, 20): 't2^-1', (2, 21): 't2^-1', (2, 18): 't1^-1*tau2*t3', (2, 19): 't1^-1*tau2*t3', (1, 73): 't3^-1*tau2^-1*t3^-1', (1, 63): 't3^-1', (1, 50): 't3*tau2*t1^-1', (1, 33): 't1'}