U-tiling: UQC5654
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2239 |
*222222 |
(5,6,2) |
{4,4,6,4,4} |
{10.10.10.10}{10.4.4.10}{10.4.4.... |
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
|
True
|
|
sqc5614
|
|
Pmmm |
47 |
orthorhombic |
{3,4,6,4,4} |
12 |
(5,6) |
|
G
|
False
|
|
sqc5895
|
|
I212121 |
24 |
orthorhombic |
{4,4,6,4,4} |
12 |
(5,7) |
|
D
|
False
|
|
sqc1106
|
|
P222 |
16 |
orthorhombic |
{6,4,4,4,4} |
6 |
(5,6) |
Topological data
| Vertex degrees | {4,4,6,4,4} |
| 2D vertex symbol | {10.10.10.10}{10.4.4.10}{10.4.4.10.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<14.1:104:14 3 5 7 9 11 13 16 18 20 22 24 26 40 29 31 33 35 37 39 42 44 46 48 50 52 66 55 57 59 61 63 65 68 70 72 74 76 78 92 81 83 85 87 89 91 94 96 98 100 102 104,2 4 57 8 13 10 12 15 17 70 21 26 23 25 28 30 83 34 39 36 38 41 43 96 47 52 49 51 54 56 60 65 62 64 67 69 73 78 75 77 80 82 86 91 88 90 93 95 99 104 101 103,27 54 55 6 7 60 61 23 24 38 39 40 67 68 19 20 73 74 51 52 80 81 32 33 86 87 49 50 93 94 45 46 99 100 79 58 59 75 76 90 91 92 71 72 103 104 84 85 101 102 97 98:10 4 4 10 4 4 4 4 4 4,4 4 6 4 4 4 4 6 4 4 4 4> {(2, 63): 't2^-1*tau1^-1', (2, 48): 'tau2^-1*t3^-1', (2, 49): 'tau2^-1*t3^-1', (0, 52): 't2^-1*tau3', (2, 51): 'tau2^-1*t1', (1, 82): 'tau1*t3^-1', (2, 37): 't3', (2, 38): 't3', (2, 24): 't1^-1*tau2', (1, 95): 't1^-1*tau3^-1*t2*tau1*t3^-1', (2, 20): 't1^-1', (2, 21): 't1^-1', (2, 22): 't1^-1', (2, 23): 't1^-1', (2, 14): 't1^-1', (2, 15): 't1^-1', (1, 69): 'tau3^-1', (1, 56): 't2^-1', (2, 100): 'tau2^-1*t3^-1', (2, 101): 'tau2^-1*t3^-1', (2, 102): 'tau2^-1*t3^-1*tau1*t2', (2, 103): 'tau2^-1*t3^-1*tau1*t2', (2, 90): 'tau1*t2', (2, 91): 't1^-1', (0, 78): 't2^-1*tau3*t1'}