U-tiling: UQC50
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc29 |
*344 |
(2,1,1) |
{3,4} |
{8.8.8}{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
|
False
|
|
sqc5591
|
pto
|
Pm-3n |
223 |
cubic |
{4,3} |
14 |
(2,1) |
|
G
|
False
|
|
sqc5593
|
ctn
|
I-43d |
220 |
cubic |
{4,3} |
14 |
(2,1) |
|
D
|
False
|
|
sqc975
|
bor
|
P-43m |
215 |
cubic |
{4,3} |
7 |
(2,1) |
Topological data
| Vertex degrees | {3,4} |
| 2D vertex symbol | {8.8.8}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<2.1:96:2 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 96,11 4 17 25 10 37 14 39 20 57 53 24 28 35 43 34 71 42 49 61 48 67 52 65 50 60 64 55 62 83 70 81 85 76 78 80 73 77 82 84 93 88 90 91 89 94 95 96,5 6 7 8 15 16 21 22 23 24 29 30 31 32 43 44 45 46 53 54 55 56 61 62 65 66 67 68 71 72 73 74 75 76 81 82 83 84 85 86 87 88 91 92 93 94 95 96:8 8 8 8 8 8,3 4 3 3 4 3 4 3 4 3 4 4 3 3> {(2, 62): 'tau1', (2, 63): 'tau1', (2, 56): 'tau2^-1', (2, 57): 'tau2^-1', (2, 54): 't2^-1', (2, 55): 't2^-1', (2, 44): 'tau3^-1', (2, 45): 'tau3^-1', (2, 38): 't3', (2, 39): 't3', (2, 28): 't1', (2, 29): 't1', (1, 90): 'tau1', (1, 92): 't2', (1, 86): 'tau2*t3*tau1^-1', (1, 72): 'tau3', (1, 78): 't1^-1*tau3^-1', (1, 66): 't2^-1', (1, 70): 'tau2', (1, 52): 't3^-1', (1, 36): 't1', (2, 92): 'tau1^-1*t3*tau2', (2, 93): 'tau1^-1*t3*tau2', (2, 94): 't2^-1', (2, 95): 't2^-1', (2, 86): 't1*tau3', (2, 87): 't1*tau3'}