U-tiling: UQC2644
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1984 |
*4444 |
(2,5,5) |
{24,3} |
{4.8.4.3.4.8.4.8.4.3.4.8.4.8.4.3... |
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
|
|
sqc3060
|
|
P4/mmm |
123 |
tetragonal |
{3,14} |
9 |
(2,5) |
|
G
|
True
|
|
sqc3113
|
|
I-4m2 |
119 |
tetragonal |
{16,3} |
9 |
(2,4) |
|
D
|
True
|
|
sqc4012
|
|
I-4m2 |
119 |
tetragonal |
{20,3} |
9 |
(2,5) |
Topological data
| Vertex degrees | {24,3} |
| 2D vertex symbol | {4.8.4.3.4.8.4.8.4.3.4.8.4.8.4.3.4.8.4.8.4.3.4.8}{4.8.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<12.1:96:25 26 75 76 7 8 81 82 35 36 37 38 87 88 19 20 93 94 47 48 39 40 31 32 45 46 43 44 73 74 63 64 55 56 69 70 83 84 85 86 67 68 95 96 79 80 91 92,13 3 5 30 9 12 11 15 17 42 21 24 23 49 27 29 33 36 35 61 39 41 45 48 47 51 53 78 57 60 59 63 65 90 69 72 71 85 75 77 81 84 83 87 89 93 96 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 8 4 3 8 4 3 4 4 3 3,24 3 3 3 3 3 3 3 3> {(0, 95): 't3^-1*tau2^-1*t3^-1', (1, 77): 't3^-1', (1, 60): 't3*tau2*t1^-1', (0, 59): 't3', (0, 48): 'tau1', (1, 41): 't1', (0, 46): 't1', (0, 49): 'tau1', (0, 60): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 20): 't1^-1*tau2*t3', (0, 47): 't1', (0, 24): 't2^-1', (0, 14): 't1^-1*tau2*t3', (0, 36): 'tau3^-1', (0, 61): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 89): 't3^-1*tau2^-1*t3^-1', (0, 21): 't1^-1*tau2*t3', (0, 94): 't3^-1*tau2^-1*t3^-1', (0, 25): 't2^-1', (0, 15): 't1^-1*tau2*t3', (0, 37): 'tau3^-1', (0, 58): 't3', }