U-tiling: UQC119
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc117 |
*2244 |
(2,3,2) |
{4,4} |
{4.12.12.4}{12.12.12.12} |
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
|
True
|
|
sqc2195
|
pts-f
|
P42/mmc |
131 |
tetragonal |
{3,4} |
10 |
(2,3) |
|
G
|
False
|
|
sqc3662
|
|
I-42d |
122 |
tetragonal |
{4,4} |
10 |
(2,3) |
|
D
|
False
|
|
sqc501
|
|
P4/mmm |
123 |
tetragonal |
{4,4} |
5 |
(2,3) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.12.12.4}{12.12.12.12} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<6.1:80:41 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 80,2 4 15 7 9 20 12 14 17 19 22 24 35 27 29 40 32 34 37 39 42 44 55 47 49 60 52 54 57 59 62 64 75 67 69 80 72 74 77 79,6 3 9 10 8 21 13 24 25 26 18 29 30 23 28 36 33 39 40 38 46 43 49 50 48 61 53 64 65 66 58 69 70 63 68 76 73 79 80 78:4 12 4 4 4 12,4 4 4 4 4 4 4 4 4 4> {(2, 28): 't3*tau2*t1^-1', (2, 29): 't3*tau2*t1^-1', (1, 59): 'tau3^-1', (2, 25): 't3*tau2*t1^-1', (2, 58): 't1*tau2^-1*t3^-1', (2, 59): 't1*tau2^-1*t3^-1', (1, 19): 't1', (2, 55): 't1*tau2^-1*t3^-1', (1, 39): 't3^-1*tau2^-1*t3^-1', (1, 54): 't2^-1', (1, 74): 'tau1^-1', (0, 46): 't1^-1*tau2*t3', (0, 47): 't1^-1*tau2*t3', (1, 79): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 34): 't3^-1', (0, 36): 't3^-1*tau2^-1*t1', (0, 37): 't3^-1*tau2^-1*t1'}