U-tiling: UQC5837
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2384 |
*4444 |
(5,6,2) |
{8,4,16,8,8} |
{3.3.3.3.3.3.3.3}{3.4.4.3}{3.4.4... |
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
|
|
sqc5731
|
|
P-4m2 |
115 |
tetragonal |
{8,4,14,6,8} |
8 |
(5,6) |
|
G
|
False
|
|
sqc6347
|
|
I-4 |
82 |
tetragonal |
{8,4,16,8,8} |
8 |
(5,7) |
|
D
|
False
|
|
sqc6382
|
|
I-4m2 |
119 |
tetragonal |
{8,4,16,8,8} |
8 |
(5,6) |
Topological data
| Vertex degrees | {8,4,16,8,8} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3}{3.4.4.3}{3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3}{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
<2.1:112:2 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 98 100 102 104 106 108 110 112,3 6 5 9 14 11 13 17 20 19 23 28 25 27 31 34 33 37 42 39 41 45 48 47 51 56 53 55 59 62 61 65 70 67 69 73 76 75 79 84 81 83 87 90 89 93 98 95 97 101 104 103 107 112 109 111,15 16 31 32 7 8 93 94 39 40 27 28 45 46 21 22 107 108 53 54 57 58 35 36 51 52 69 70 71 72 49 50 83 84 87 88 63 64 79 80 95 96 101 102 77 78 109 110 99 100 91 92 111 112 105 106:3 4 3 4 3 4 3 4 3 4 3 4 3 4 3 4,8 4 16 8 8 4 4 4> {(2, 108): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 94): 'tau1^-1', (2, 23): 't1^-1*tau2*t3', (2, 58): 't3', (2, 59): 't3', (2, 52): 'tau3^-1', (2, 53): 'tau3^-1', (2, 54): 't1*tau2^-1*t3^-1', (2, 55): 't1*tau2^-1*t3^-1', (2, 100): 't3^-1*tau2^-1*t3^-1', (2, 44): 't1', (2, 45): 't1', (2, 95): 'tau1^-1', (2, 42): 't1*tau2^-1*t3^-1', (2, 43): 't1*tau2^-1*t3^-1', (2, 109): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 101): 't3^-1*tau2^-1*t3^-1', (2, 38): 't2^-1', (2, 39): 't2^-1', (2, 22): 't1^-1*tau2*t3'}