U-tiling: UQC87
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc27 |
*24(12) |
(2,1,1) |
{4,12} |
{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
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
|
False
|
|
sqc867
|
ftw
|
Pm-3m |
221 |
cubic |
{4,12} |
4 |
(2,1) |
|
G
|
False
|
|
sqc908
|
|
R-3m |
166 |
rhombohedral |
{4,12} |
4 |
(2,2) |
|
D
|
False
|
|
sqc867
|
ftw
|
Pm-3m |
221 |
cubic |
{4,12} |
4 |
(2,1) |
Topological data
| Vertex degrees | {4,12,12,4} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}{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
<1.1:96:2 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 96,3 8 5 7 11 16 13 15 19 24 21 23 27 32 29 31 35 40 37 39 43 48 45 47 51 56 53 55 59 64 61 63 67 72 69 71 75 80 77 79 83 88 85 87 91 96 93 95,73 74 19 20 13 14 87 88 65 66 27 28 95 96 89 90 37 38 63 64 81 82 45 46 55 56 41 42 51 52 79 80 59 60 71 72 57 58 69 70 77 78 83 84 91 92 93 94:4 4 4 4 4 4 4 4 4 4 4 4,4 12 12 4 4 4 4 4> {(2, 62): 't3^-1', (2, 63): 't3^-1', (2, 56): 'tau1^-1', (2, 57): 'tau1^-1', (2, 54): 't2^-1', (2, 55): 't2^-1', (2, 46): 't2', (2, 47): 't2', (2, 40): 'tau1^-1', (2, 41): 'tau1^-1', (2, 38): 't3', (2, 39): 't3', (2, 24): 'tau3', (2, 25): 'tau3', (2, 16): 'tau2^-1', (2, 17): 'tau2^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (2, 8): 'tau3', (2, 9): 'tau3', (2, 6): 't1^-1', (2, 7): 't1^-1', (2, 0): 'tau2^-1', (2, 1): 'tau2^-1'}