U-tiling: UQC5915
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2365 |
*4444 |
(6,6,2) |
{4,8,4,4,8,4} |
{8.8.8.8}{8.8.8.8.8.8.8.8}{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
|
True
|
|
sqc5611
|
|
P-4m2 |
115 |
tetragonal |
{6,4,4,8,4} |
11 |
(5,6) |
|
G
|
False
|
|
sqc6380
|
|
I-4 |
82 |
tetragonal |
{4,8,4,4,8,4} |
12 |
(6,7) |
|
D
|
False
|
|
sqc6431
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,4,8,4} |
12 |
(6,6) |
Topological data
| Vertex degrees | {4,8,4,4,8,4} |
| 2D vertex symbol | {8.8.8.8}{8.8.8.8.8.8.8.8}{8.3.3.8}{8.8.3.3}{3.3.3.3.3.3.3.3}{8.8.8.8} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<18.2:112:2 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 98 100 102 104 106 108 110 112,29 3 5 13 9 12 11 42 43 17 19 27 23 26 25 56 31 33 41 37 40 39 45 47 55 51 54 53 85 59 61 69 65 68 67 98 99 73 75 83 79 82 81 112 87 89 97 93 96 95 101 103 111 107 110 109,15 16 31 32 7 8 37 38 95 96 97 98 45 46 21 22 51 52 109 110 111 112 57 58 35 36 53 54 55 56 71 72 49 50 87 88 63 64 93 94 81 82 83 84 101 102 77 78 107 108 99 100 91 92 105 106:8 3 8 3 3 3 8 3 8 3 3 3,4 8 4 4 8 4 4 4 4 4 4 4> {(1, 111): 't3^-1*tau2^-1*t3^-1', (2, 58): 'tau1', (2, 59): 'tau1', (2, 50): 'tau3^-1', (2, 51): 'tau3^-1', (2, 44): 'tau3^-1', (2, 45): 'tau3^-1', (2, 42): 't1*tau2^-1*t3^-1', (2, 43): 't1*tau2^-1*t3^-1', (2, 36): 't2^-1', (2, 37): 't2^-1', (1, 98): 't3^-1*tau2^-1*t3^-1', (2, 30): 't2^-1', (2, 31): 't2^-1', (2, 24): 't1^-1*tau2*t3', (2, 25): 't1^-1*tau2*t3', (2, 26): 't1^-1*tau2*t3', (2, 27): 't1^-1*tau2*t3', (1, 69): 't3', (1, 56): 't3', (1, 55): 't1', (1, 42): 't1', (2, 106): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 107): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 100): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 101): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 92): 'tau1^-1', (2, 93): 'tau1^-1'}