U-tiling: UQC254
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc275 |
*2244 |
(2,3,2) |
{12,3} |
{3.12.3.3.12.3.3.12.3.3.12.3}{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) |
|
G
|
False
|
|
sqc4918
|
|
I-42d |
122 |
tetragonal |
{12,3} |
10 |
(2,4) |
|
D
|
False
|
|
sqc737
|
|
P4/mmm |
123 |
tetragonal |
{3,12} |
5 |
(2,3) |
Topological data
| Vertex degrees | {12,3} |
| 2D vertex symbol | {3.12.3.3.12.3.3.12.3.3.12.3}{3.12.12} |
| Dual tiling | (self dual) |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.1:96:49 3 5 42 55 9 11 48 61 15 17 24 67 21 23 73 27 29 36 79 33 35 85 39 41 91 45 47 51 53 90 57 59 96 63 65 72 69 71 75 77 84 81 83 87 89 93 95,2 51 16 6 8 57 22 12 14 63 18 20 69 24 26 75 40 30 32 81 46 36 38 87 42 44 93 48 50 64 54 56 70 60 62 66 68 72 74 88 78 80 94 84 86 90 92 96,7 4 5 54 10 11 60 25 16 17 66 31 22 23 72 28 29 78 34 35 84 43 40 41 90 46 47 96 55 52 53 58 59 73 64 65 79 70 71 76 77 82 83 91 88 89 94 95:3 12 3 3 3 3 3 3 3 12,12 3 3 3 3 3 3 3 3 12> {(0, 59): 't1^-1*tau2*t3', (1, 93): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 63): 't2^-1', (1, 21): 't1', (1, 87): 'tau1^-1', (0, 11): 't1^-1*tau2*t3', (2, 78): 't3*tau2*t1^-1', (1, 45): 't3^-1*tau2^-1*t3^-1', (2, 18): 't1*tau2^-1*t3^-1', (1, 69): 'tau3^-1', (1, 39): 't3^-1'}