U-tiling: UQC3268
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc254 |
*2244 |
(3,3,2) |
{6,4,4} |
{4.5.5.4.5.5}{5.5.5.5}{5.5.5.5} |
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
|
|
sqc5135
|
|
P42/mmc |
131 |
tetragonal |
{6,4,4} |
10 |
(3,3) |
|
G
|
False
|
|
sqc5326
|
|
I-42d |
122 |
tetragonal |
{6,4,4} |
10 |
(3,3) |
|
D
|
False
|
|
sqc882
|
|
P4/mmm |
123 |
tetragonal |
{4,4,6} |
5 |
(3,3) |
Topological data
| Vertex degrees | {6,4,4} |
| 2D vertex symbol | {4.5.5.4.5.5}{5.5.5.5}{5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.1:96:13 14 4 6 19 20 10 12 16 18 22 24 37 38 28 30 43 44 34 36 40 42 46 48 61 62 52 54 67 68 58 60 64 66 70 72 85 86 76 78 91 92 82 84 88 90 94 96,7 3 5 18 9 11 24 25 15 17 31 21 23 27 29 42 33 35 48 43 39 41 45 47 55 51 53 66 57 59 72 73 63 65 79 69 71 75 77 90 81 83 96 91 87 89 93 95,2 51 52 41 42 8 57 58 47 48 14 63 64 23 24 20 69 70 26 75 76 35 36 32 81 82 38 87 88 44 93 94 50 89 90 56 95 96 62 71 72 68 74 83 84 80 86 92:4 5 5 5 5 4 5 5 5 5,6 4 4 4 6 4 6 4 6 4> {(2, 58): 't1^-1*tau2*t3', (2, 59): 't1^-1*tau2*t3', (0, 48): 't2', (0, 49): 't2', (0, 54): 'tau3', (0, 55): 'tau3', (0, 42): 't3^-1*tau2^-1*t3^-1', (0, 43): 't3^-1*tau2^-1*t3^-1', (2, 46): 't3^-1*tau2^-1*t1', (2, 47): 't3^-1*tau2^-1*t1', (0, 84): 'tau1^-1', (0, 36): 't3^-1', (0, 37): 't3^-1', (1, 89): 'tau1^-1', (1, 95): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 18): 't1', (0, 19): 't1', (1, 65): 't2^-1', (1, 66): 't1*tau2^-1*t3^-1', (1, 71): 'tau3^-1', (1, 41): 't3^-1', (1, 47): 't3^-1*tau2^-1*t3^-1', (0, 90): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 91): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (1, 30): 't3*tau2*t1^-1', (1, 23): 't1', (0, 85): 'tau1^-1'}