U-tiling: UQC4
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc9 |
*246 |
(1,1,1) |
{4} |
{6.6.6.6} |
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
|
|
sqc35
|
nbo
|
Im-3m |
229 |
cubic |
{4} |
3 |
(1,1) |
|
G
|
False
|
|
sqc5580
|
ict
|
R-3c |
167 |
rhombohedral |
{4} |
12 |
(1,3) |
|
D
|
False
|
|
sqc970
|
sod
|
Im-3m |
229 |
cubic |
{4} |
6 |
(1,1) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<38.1:96:81 82 5 6 23 24 89 90 13 14 31 32 57 58 21 22 49 50 29 30 73 74 37 38 55 56 65 66 45 46 63 64 53 54 61 62 69 70 87 88 77 78 95 96 85 86 93 94,73 3 76 13 7 16 65 11 68 15 89 19 92 37 23 40 81 27 84 45 31 48 41 35 44 39 43 47 57 51 60 69 55 72 59 77 63 80 67 71 75 79 83 93 87 96 91 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 96:6 6 6 6 6 6 6 6,4 4 4 4 4 4 4 4 4 4 4 4> {(1, 88): 'tau2', (0, 41): 't2', (0, 8): 't1^-1', (0, 1): 't1^-1', (1, 83): 'tau3^-1', (1, 64): 'tau3^-1', (0, 48): 't2^-1', (1, 56): 'tau1^-1', (0, 9): 't1^-1', (1, 91): 'tau2', (1, 72): 'tau2', (0, 56): 't3^-1', (0, 49): 't2^-1', (1, 67): 'tau3^-1', (1, 59): 'tau1^-1', (0, 32): 't3', (1, 40): 'tau1^-1', (0, 57): 't3^-1', (1, 75): 'tau2', (0, 40): 't2', (1, 80): 'tau3^-1', (0, 33): 't3', (0, 0): 't1^-1', (1, 43): 'tau1^-1', }