U-tiling: UQC5845
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2055 |
*4444 |
(6,5,2) |
{4,3,3,8,8,4} |
{4.4.4.4}{4.8.4}{4.8.8}{8.8.8.8.... |
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
|
|
sqc4233
|
|
P4/mmm |
123 |
tetragonal |
{4,3,3,6,6,4} |
12 |
(6,5) |
|
G
|
False
|
|
sqc4937
|
|
I-4m2 |
119 |
tetragonal |
{4,3,3,8,8,4} |
12 |
(6,5) |
|
D
|
False
|
|
sqc4931
|
|
I-4m2 |
119 |
tetragonal |
{4,3,3,8,8,4} |
12 |
(6,5) |
Topological data
| Vertex degrees | {4,3,3,8,8,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.4}{4.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<34.2:96:2 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 96,25 3 28 17 7 9 11 24 37 15 40 19 21 23 27 53 31 33 35 60 39 65 43 45 47 72 73 51 76 55 57 59 85 63 88 67 69 71 75 89 79 81 83 96 87 91 93 95,13 14 5 6 31 32 81 82 35 36 17 18 43 44 93 94 47 48 49 50 29 30 45 46 61 62 41 42 53 54 79 80 69 70 83 84 65 66 91 92 95 96 85 86 77 78 89 90:4 8 4 8 8 4 4 8,4 3 3 8 8 4 3 3 3 3 3 3> {(2, 60): 't3*tau2*t1^-1', (2, 61): 't3*tau2*t1^-1', (2, 58): 'tau1', (2, 59): 'tau1', (2, 54): 't3', (2, 55): 't3', (2, 46): 'tau3^-1', (2, 47): 'tau3^-1', (2, 42): 't1', (2, 43): 't1', (2, 34): 't2^-1', (2, 35): 't2^-1', (2, 20): 't1^-1*tau2*t3', (2, 21): 't1^-1*tau2*t3', (1, 84): 't3^-1*tau2^-1*t3^-1', (1, 87): 't3^-1*tau2^-1*t3^-1', (1, 72): 't3^-1', (1, 75): 't3^-1', (1, 64): 't3*tau2*t1^-1', (1, 71): 't3*tau2*t1^-1', (1, 36): 't1', (1, 39): 't1', (2, 94): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 95): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 90): 't3^-1*tau2^-1*t3^-1', (2, 91): 't3^-1*tau2^-1*t3^-1'}