U-tiling: UQC5898
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc2355 |
*4444 |
(6,6,2) |
{4,8,4,3,8,8} |
{6.6.6.6}{6.6.6.6.6.6.6.6}{6.4.4... |
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
|
True
|
|
sqc4722
|
|
P4/mmm |
123 |
tetragonal |
{6,4,3,6,6} |
11 |
(5,6) |
|
G
|
False
|
|
sqc6376
|
|
I-4 |
82 |
tetragonal |
{4,8,4,3,8,8} |
12 |
(6,7) |
|
D
|
False
|
|
sqc6427
|
|
I-4m2 |
119 |
tetragonal |
{4,8,4,3,8,8} |
12 |
(6,6) |
Topological data
| Vertex degrees | {4,8,4,3,8,8} |
| 2D vertex symbol | {6.6.6.6}{6.6.6.6.6.6.6.6}{6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<16.2:112:2 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 34 9 14 11 13 43 17 19 48 23 28 25 27 31 33 37 42 39 41 45 47 51 56 53 55 85 59 61 90 65 70 67 69 99 73 75 104 79 84 81 83 87 89 93 98 95 97 101 103 107 112 109 111,15 16 31 32 7 8 37 38 95 96 41 42 45 46 21 22 51 52 109 110 55 56 57 58 35 36 53 54 71 72 49 50 87 88 63 64 93 94 81 82 97 98 101 102 77 78 107 108 111 112 99 100 91 92 105 106:6 4 6 4 4 4 6 4 6 4 4 4,4 8 4 3 8 8 4 3 4 3 4 3> {(1, 47): 't1', (2, 58): 'tau1', (2, 59): 'tau1', (2, 54): 't1', (2, 55): 't1', (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', (1, 103): 't3^-1*tau2^-1*t3^-1', (1, 89): 't3^-1', (2, 30): 't2^-1', (2, 31): 't2^-1', (2, 24): 't1^-1*tau2*t3', (2, 25): 't1^-1*tau2*t3', (1, 56): 't3', (2, 110): 't3^-1*tau2^-1*t3^-1', (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, 96): 't3^-1', (2, 97): 't3^-1', (2, 92): 'tau1^-1', (2, 111): 't3^-1*tau2^-1*t3^-1', (2, 65): 'tau1'}