U-tiling: UQC5773
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc466 |
*2244 |
(3,4,2) |
{4,4,4} |
{16.16.16.16}{16.3.3.16}{3.3.3.3} |
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
|
|
sqc1262
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4} |
7 |
(5,7) |
G
|
False
|
|
sqc6655
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4} |
14 |
(5,8) |
D
|
False
|
|
sqc6656
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
Vertex degrees | {4,4,4,4,4} |
2D vertex symbol | {16.16.16.16}{16.3.3.16}{16.16.3.3}{3.3.3.3}{16.16.16.16} |
Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<23.1:112:15 3 5 7 9 11 13 42 17 19 21 23 25 27 56 43 31 33 35 37 39 41 45 47 49 51 53 55 85 59 61 63 65 67 69 112 99 73 75 77 79 81 83 98 87 89 91 93 95 97 101 103 105 107 109 111,2 4 12 8 11 10 14 16 18 26 22 25 24 28 30 32 40 36 39 38 42 44 46 54 50 53 52 56 58 60 68 64 67 66 70 72 74 82 78 81 80 84 86 88 96 92 95 94 98 100 102 110 106 109 108 112,29 58 59 6 7 64 65 80 81 82 83 70 43 86 87 20 21 92 93 108 109 110 111 98 100 101 34 35 106 107 94 95 96 97 112 72 73 48 49 78 79 66 67 68 69 84 99 62 63 85 76 77 90 91 104 105:16 3 3 3 3 16 3 3 3 3,4 4 4 4 4 4 4 4 4 4 4 4 4 4> {(0, 56): 'tau1', (2, 63): 't3*tau2', (2, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 57): 't3*tau2', (2, 58): 't3*tau2', (2, 52): 't3^-1', (2, 53): 't3^-1', (2, 54): 't3^-1', (2, 49): 'tau2*t3', (2, 50): 'tau2*t3', (2, 51): 't3^-1', (2, 44): 'tau2*t3', (2, 40): 't2^-1', (2, 42): 't1', (2, 43): 'tau2*t3', (2, 36): 'tau3^-1*t2', (2, 37): 't2^-1', (2, 38): 't2^-1', (2, 39): 't2^-1', (2, 35): 'tau3^-1*t2', (2, 28): 't1', (2, 29): 'tau3^-1*t2', (2, 30): 'tau3^-1*t2', (2, 24): 't2', (2, 25): 't2', (2, 26): 't2', (2, 21): 'tau3*t2^-1', (2, 22): 'tau3*t2^-1', (2, 23): 't2', (2, 16): 'tau3*t2^-1', (2, 15): 'tau3*t2^-1', (2, 8): 'tau2^-1*t3^-1', (2, 9): 't3', (2, 10): 't3', (2, 11): 't3', (2, 84): 't2*tau3^-1*t1^-1*tau2*t3', (2, 82): 't3^-1', (0, 70): 'tau1^-1'}