U-tiling: UQC5885
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2348 |
*4444 |
(6,6,2) |
{4,4,3,8,8,8} |
{4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.... |
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
|
|
sqc5732
|
|
P-4m2 |
115 |
tetragonal |
{4,4,3,8,6,6} |
12 |
(6,6) |
|
G
|
False
|
|
sqc6350
|
|
I-4 |
82 |
tetragonal |
{4,4,3,8,8,8} |
12 |
(6,7) |
|
D
|
False
|
|
sqc6383
|
|
I-4m2 |
119 |
tetragonal |
{4,4,3,8,8,8} |
12 |
(6,6) |
Topological data
| Vertex degrees | {4,4,3,8,8,8} |
| 2D vertex symbol | {4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5.5.5.5.5} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<15.2:112:2 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 32 7 14 9 11 13 43 17 46 21 28 23 25 27 31 35 42 37 39 41 45 49 56 51 53 55 85 59 88 63 70 65 67 69 99 73 102 77 84 79 81 83 87 91 98 93 95 97 101 105 112 107 109 111,15 16 5 6 21 22 37 38 95 96 41 42 19 20 51 52 109 110 55 56 57 58 33 34 63 64 53 54 71 72 47 48 77 78 61 62 93 94 81 82 97 98 75 76 107 108 111 112 99 100 89 90 105 106 103 104:4 5 4 5 5 5 4 5 4 5 5 5,4 4 3 8 8 8 3 4 4 3 3 4> {(2, 54): 't1', (2, 55): 't1', (2, 48): 't1*tau2^-1*t3^-1', (2, 49): 't1*tau2^-1*t3^-1', (2, 50): 'tau3^-1', (2, 51): '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', (1, 101): 't3^-1*tau2^-1*t3^-1', (2, 24): 't1^-1*tau2*t3', (2, 25): 't1^-1*tau2*t3', (1, 84): 't3^-1', (1, 87): 't3^-1', (2, 110): 't3^-1*tau2^-1*t3^-1', (2, 111): 't3^-1*tau2^-1*t3^-1', (1, 45): '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, 96): 't3^-1', (2, 97): 't3^-1', (2, 92): 'tau1^-1', (2, 93): 'tau1^-1', (1, 42): 't1'}