Are there any websites that are databases of lattices?
I'm also interested in databases distributed as libraries in a programming language or similar.
I'm studying a little bit of lattice theory on my own.
I've come across a handful of names of finite lattices such as $N_5$ and $M_4$, shown below:
The lattice N_5
1
/ |
/ b
/ |
c a
\ /
0
The lattice M_4
1
/ | | \
a b c d
\ | | /
0
I don't know many examples of lattices though, especially weird or poorly behaved ones.
I'm curious, however, whether there are any resources for lattices (especially finite lattices) similar to the following ones:
- Groups GroupProps
- Rings DaRT
- Topological spaces Pi-Base
I found https://www.shsu.edu/mem037/Lattices.html and https://b2share.eudat.eu/records/dbb096da4e364b5e9e37b982431f41de, which have good raw data but are not user-friendly like DaRT or π-Base.
The meta-answer: I found these from https://mathdb.mathhub.info/, which is a database of math databases!