U-tiling: UQC2608
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc1953 |
*4444 |
(2,5,5) |
{4,4} |
{8.16.3.8}{3.16.4.16} |
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
|
|
sqc5501
|
|
P-4m2 |
115 |
tetragonal |
{4,4} |
12 |
(2,5) |
|
G
|
False
|
|
sqc5500
|
|
I-4 |
82 |
tetragonal |
{4,4,4} |
12 |
(3,6) |
|
D
|
False
|
|
sqc5502
|
|
I-4m2 |
119 |
tetragonal |
{4,4} |
12 |
(2,5) |
Topological data
| Vertex degrees | {4,4} |
| 2D vertex symbol | {8.16.3.8}{3.16.4.16} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<8.1:96:25 26 5 6 79 80 33 34 23 24 37 38 17 18 91 92 45 46 29 30 43 44 59 60 41 42 71 72 73 74 53 54 67 68 81 82 85 86 65 66 93 94 77 78 95 96 89 90,13 3 16 7 12 9 11 15 19 24 21 23 49 27 52 31 36 33 35 61 39 64 43 48 45 47 51 55 60 57 59 63 67 72 69 71 85 75 88 79 84 81 83 87 91 96 93 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 96:4 16 3 8 8 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4> {(0, 48): 'tau1', (0, 61): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (1, 60): 't3*tau2*t1^-1', (0, 19): 't1^-1*tau2*t3', (0, 60): 'tau1*t2*tau3^-1*t1^-1*tau2*t3', (0, 18): 't1^-1*tau2*t3', (0, 93): 't3^-1*tau2^-1*t3^-1', (0, 92): 't3^-1*tau2^-1*t3^-1', (0, 45): 't1', (0, 25): 't2^-1', (0, 44): 't1', (0, 57): 't3', (0, 24): 't2^-1', (0, 47): 't1*tau2^-1*t3^-1', (0, 56): 't3', (0, 37): 'tau3^-1', (0, 46): 't1*tau2^-1*t3^-1', (0, 36): 'tau3^-1', (0, 49): 'tau1', (1, 63): 't3*tau2*t1^-1', }