U-tiling: UQC2561
h-net
1 record listed.
Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
|
hqc1928 |
*222222 |
(2,6,5) |
{7,5} |
{4.4.3.6.3.4.4}{3.6.4.4.6} |
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
|
|
sqc3196
|
|
P4/mmm |
123 |
tetragonal |
{4,6} |
8 |
(2,4) |
G
|
False
|
|
sqc4813
|
|
I212121 |
24 |
orthorhombic |
{5,7} |
8 |
(2,7) |
D
|
False
|
|
sqc767
|
|
P222 |
16 |
orthorhombic |
{7,5} |
4 |
(2,6) |
Topological data
Vertex degrees | {7,5} |
2D vertex symbol | {4.4.3.6.3.4.4}{3.6.4.4.6} |
Dual tiling | |
D-symbol
Genus-3 version with t-tau cuts labelled
<112.1:96:25 50 51 6 7 20 21 58 59 36 37 62 63 18 19 70 71 48 74 75 30 31 44 45 82 83 86 87 42 43 94 95 73 54 55 68 69 84 85 66 67 96 78 79 92 93 90 91,2 4 17 18 8 10 12 14 16 20 22 24 26 28 41 42 32 34 36 38 40 44 46 48 50 52 65 66 56 58 60 62 64 68 70 72 74 76 89 90 80 82 84 86 88 92 94 96,13 3 5 7 9 11 24 15 17 19 21 23 37 27 29 31 33 35 48 39 41 43 45 47 61 51 53 55 57 59 72 63 65 67 69 71 85 75 77 79 81 83 96 87 89 91 93 95:4 6 3 4 4 4 4 6 3 4 3 3,5 7 5 7 5 7 5 7> {(1, 88): 't1^-1*tau3^-1*t2', (2, 47): 'tau2^-1*t3^-1', (0, 95): 'tau2^-1*t3^-1*tau1*t2', (0, 62): 't1', (1, 17): 't1^-1', (0, 55): 't2^-1*tau3', (0, 45): 't3*tau1^-1*t2^-1*tau3*t1', (0, 22): 'tau3', (0, 34): 't3*tau1^-1', (1, 64): 'tau3^-1*t2', (0, 59): 't2^-1*tau1^-1', (0, 92): 't1^-1*tau3^-1*t2', (0, 35): 't3', (1, 41): 'tau2^-1*t3^-1', (2, 95): 'tau2^-1*t3^-1', (0, 56): 't2^-1*tau3', (0, 46): 't3*tau1^-1*t2^-1*tau3*t1', (0, 60): 't1', (2, 84): 't1^-1*tau3^-1*t2', (0, 57): 't2^-1', (0, 47): 'tau2^-1*t1', (2, 23): 't1^-1', (0, 61): 't1', (1, 89): 'tau2^-1*t3^-1', (0, 21): 'tau3', (0, 33): 't3*tau1^-1', (2, 60): 'tau3^-1*t2', (0, 91): 't1^-1*tau3^-1*t2', (0, 58): 't2^-1', }