U-tiling: UQC5794
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2340 |
*222222 |
(5,7,2) |
{4,4,4,4,4} |
{12.12.12.12}{12.4.4.12}{12.12.4... |
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
|
False
|
|
sqc1259
|
|
Pmmm |
47 |
orthorhombic |
{4,4,4,4,4} |
7 |
(5,7) |
|
G
|
False
|
|
sqc6635
|
|
C2/c |
15 |
monoclinic |
{4,4,4,4,4} |
14 |
(5,8) |
|
D
|
False
|
|
sqc6636
|
|
Imma |
74 |
orthorhombic |
{4,4,4,4,4} |
14 |
(5,7) |
Topological data
| Vertex degrees | {4,4,4,4,4} |
| 2D vertex symbol | {12.12.12.12}{12.4.4.12}{12.12.4.4}{4.4.4.4}{4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<26.1:112:15 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 14 8 13 10 12 16 18 28 22 27 24 26 30 32 42 36 41 38 40 44 46 56 50 55 52 54 58 60 70 64 69 66 68 72 74 84 78 83 80 82 86 88 98 92 97 94 96 100 102 112 106 111 108 110,29 58 59 6 7 64 65 80 81 68 69 70 43 86 87 20 21 92 93 108 109 96 97 98 100 101 34 35 106 107 94 95 110 111 112 72 73 48 49 78 79 66 67 82 83 84 99 62 63 85 76 77 90 91 104 105:12 4 4 4 4 12 4 4 4 4,4 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, 49): 'tau2*t3', (2, 50): 'tau2*t3', (2, 51): 't3^-1', (2, 44): 'tau2*t3', (2, 42): 't1', (2, 43): 'tau2*t3', (2, 36): 'tau3^-1*t2', (2, 37): 't2^-1', (2, 38): 't2^-1', (2, 35): 'tau3^-1*t2', (2, 28): 't1', (2, 29): 'tau3^-1*t2', (2, 30): 'tau3^-1*t2', (2, 24): '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, 84): 't2*tau3^-1*t1^-1*tau2*t3', (0, 70): 'tau1^-1'}