U-tiling: UQC5215
h-net
1 record listed.
| Image |
h-net name |
Orbifold symbol |
Transitivity (Vert,Edge,Face) |
Vertex Degree |
2D Vertex Symbol |
 |
hqc48 |
*288 |
(2,2,1) |
{16,8} |
{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3... |
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
|
|
sqc350
|
|
I4/mmm |
139 |
tetragonal |
{6,14} |
2 |
(2,3) |
|
G
|
True
|
|
sqc543
|
reo-d
|
Pm-3m |
221 |
cubic |
{14,8} |
2 |
(2,2) |
|
D
|
True
|
|
sqc3333
|
|
I41/amd |
141 |
tetragonal |
{8,12} |
4 |
(2,3) |
Topological data
| Vertex degrees | {8,16,16,8} |
| 2D vertex symbol | {3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3} |
| Dual tiling |  |
D-symbol
Genus-3 version with t-tau cuts labelled
<1.1:96:2 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 96,3 6 5 9 12 11 15 18 17 21 24 23 27 30 29 33 36 35 39 42 41 45 48 47 51 54 53 57 60 59 63 66 65 69 72 71 75 78 77 81 84 83 87 90 89 93 96 95,13 14 27 28 7 8 81 82 35 36 39 40 19 20 93 94 47 48 49 50 31 32 45 46 61 62 43 44 75 76 55 56 69 70 83 84 87 88 67 68 95 96 85 86 79 80 91 92:3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3,8 16 16 8> {(2, 60): 't3*tau2*t1^-1', (2, 61): 't3*tau2*t1^-1', (2, 62): 't3*tau2*t3', (2, 63): 't3*tau2*t3', (2, 58): 'tau1', (2, 59): 'tau1', (2, 20): 't1^-1*tau2*t3', (2, 21): 't1^-1*tau2*t3', (2, 94): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 50): 't3', (2, 51): 't3', (2, 46): 'tau3^-1', (2, 47): 'tau3^-1', (2, 95): 't3^-1*tau2^-1*t1*tau3*t2^-1*tau1^-1', (2, 38): 't1', (2, 39): 't1', (2, 34): 't2^-1', (2, 35): 't2^-1'}