U-tiling: UQC478
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc24 |
*24(12) |
(1,1,2) |
{4} |
{4.12.4.12} |
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) |
|
G
|
False
|
|
sqc5567
|
|
I-42d |
122 |
tetragonal |
{4,4} |
12 |
(2,3) |
|
D
|
False
|
|
sqc942
|
mot-e
|
P4/mmm |
123 |
tetragonal |
{4,4} |
6 |
(2,2) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {4.12.4.12}{12.4.12.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.1:96:3 4 17 18 9 10 23 24 15 16 21 22 27 28 41 42 33 34 47 48 39 40 45 46 51 52 65 66 57 58 71 72 63 64 69 70 75 76 89 90 81 82 95 96 87 88 93 94,49 8 39 5 42 55 45 11 48 61 26 21 17 24 67 32 23 73 33 29 36 79 35 85 44 41 91 47 56 87 53 90 93 59 96 74 69 65 72 80 71 81 77 84 83 92 89 95,2 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 82 84 86 88 90 92 94 96:4 12 4 4 4 4 12 4,4 4 4 4 4 4 4 4 4 4 4 4> {(1, 67): 't1*tau2^-1*t3^-1', (1, 44): 't3^-1*tau2^-1*t1', (0, 41): 't3^-1', (0, 95): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 40): 't3^-1', (0, 53): 't2', (0, 94): 'tau1^-1*t2^-1*tau3*t1*tau2^-1*t3^-1', (0, 52): 't2', (1, 47): 't3^-1*tau2^-1*t1', (0, 23): 't1', (0, 77): 'tau1', (0, 22): 't1', (1, 95): 't3^-1*tau2^-1*t1', (1, 92): 't3^-1*tau2^-1*t1', (0, 47): 't3^-1*tau2^-1*t3^-1', (0, 88): 'tau1^-1', (1, 31): 't3*tau2*t1^-1', (0, 46): 't3^-1*tau2^-1*t3^-1', (0, 59): 'tau3', (0, 58): 'tau3', }