U-tiling: UQC5758
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc2334 |
*222222 |
(5,7,2) |
{4,4,8,4,4} |
{8.8.8.8}{8.8.8.8}{8.3.3.8.8.3.3... |
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
|
|
sqc1342
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,8} |
6 |
(5,7) |
G
|
False
|
|
sqc6769
|
|
C2/c |
15 |
monoclinic |
{4,4,8,4,4} |
12 |
(5,8) |
D
|
False
|
|
sqc6770
|
|
Imma |
74 |
orthorhombic |
{4,4,8,4,4} |
12 |
(5,7) |
Topological data
Vertex degrees | {4,4,8,4,4} |
2D vertex symbol | {8.8.8.8}{8.8.8.8}{8.3.3.8.8.3.3.8}{8.8.3.3}{3.3.3.3} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<20.2:112:29 3 5 7 9 11 13 42 43 17 19 21 23 25 27 56 31 33 35 37 39 41 45 47 49 51 53 55 99 59 61 63 65 67 69 112 85 73 75 77 79 81 83 98 87 89 91 93 95 97 101 103 105 107 109 111,2 4 6 14 10 13 12 16 18 20 28 24 27 26 30 32 34 42 38 41 40 44 46 48 56 52 55 54 58 60 62 70 66 69 68 72 74 76 84 80 83 82 86 88 90 98 94 97 96 100 102 104 112 108 111 110,57 72 73 60 61 8 9 38 39 26 27 28 85 100 101 88 89 22 23 52 53 99 86 87 102 103 36 37 54 55 56 71 58 59 74 75 50 51 64 65 108 109 96 97 98 78 79 94 95 110 111 112 92 93 106 107:8 3 8 3 3 3 8 3 8 3 3 3,4 4 8 4 4 4 4 8 4 4 4 4> {(0, 56): 't3*tau2*t1^-1*tau3^-1*t2', (2, 56): 't3*tau2', (2, 57): 't3', (2, 58): 't3', (0, 55): 't1', (0, 42): 't1', (0, 41): 't1', (2, 42): 'tau2*t3', (2, 28): 'tau3^-1*t2', (2, 29): 't2^-1', (2, 30): 't2^-1', (0, 28): 't1', (2, 16): 't2', (2, 14): 'tau3*t2^-1', (2, 15): 't2', (2, 1): 't3', (2, 2): 't3', (2, 109): 'tau1', (2, 110): 'tau1', (2, 111): 'tau1', (0, 97): 't2*tau3^-1*t1^-1*tau2*t3', (2, 96): 'tau1^-1', (2, 97): 'tau1^-1', (2, 95): 'tau1^-1', (0, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 69): 't3*tau2*t1^-1*tau3^-1*t2'}