U-tiling: UQC5451
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2084 |
*4444 |
(5,5,2) |
{4,4,3,8,8} |
{16.16.16.16}{16.4.4.16}{16.4.4}... |
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
|
|
sqc4593
|
|
P4/mmm |
123 |
tetragonal |
{4,4,3,6,6} |
11 |
(5,5) |
|
G
|
False
|
|
sqc5302
|
|
I-4 |
82 |
tetragonal |
{4,4,3,8,8} |
11 |
(5,6) |
|
D
|
False
|
|
sqc5030
|
|
I-4m2 |
119 |
tetragonal |
{4,4,3,8,8} |
11 |
(5,5) |
Topological data
| Vertex degrees | {4,4,3,8,8} |
| 2D vertex symbol | {16.16.16.16}{16.4.4.16}{16.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<9.1:96:2 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 96,13 3 28 7 12 9 11 15 40 19 24 21 23 49 27 31 36 33 35 61 39 43 48 45 47 51 76 55 60 57 59 63 88 67 72 69 71 85 75 79 84 81 83 87 91 96 93 95,25 26 5 6 31 32 81 82 35 36 37 38 17 18 43 44 93 94 47 48 29 30 45 46 41 42 73 74 53 54 79 80 69 70 83 84 85 86 65 66 91 92 95 96 77 78 89 90:16 4 4 4 4 4 4 4 4,4 4 3 8 8 4 3 4 3 4 3> {(2, 60): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 61): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (2, 58): 't3', (2, 59): 't3', (2, 54): 'tau1', (2, 55): 'tau1', (2, 48): 'tau1', (2, 49): 'tau1', (2, 46): 't1', (2, 47): 't1', (2, 42): 'tau3^-1', (2, 43): 'tau3^-1', (2, 36): 'tau3^-1', (2, 37): 'tau3^-1', (2, 30): 't2^-1', (2, 31): 't2^-1', (2, 24): 't2^-1', (2, 25): 't2^-1', (2, 20): 't1^-1*tau2*t3', (2, 21): 't1^-1*tau2*t3', (1, 87): 't3^-1*tau2^-1*t3^-1', (1, 75): 't3^-1', (1, 60): 't3*tau2*t1^-1', (1, 39): 't1', (2, 94): 't3^-1*tau2^-1*t3^-1', (2, 95): 't3^-1*tau2^-1*t3^-1', (2, 90): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 91): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1'}