mapFolding
Map folding, meanders, stamp folding, semi-meanders. Experiment with algorithm transformations and code optimization.
I don't know how to write a README.md. Furthermore, the package used to be focused on multidimensional map folding and tools for transforming the algorithm to experiment with optimizations or to explore the algorithm.
First, the tools for transforming algorithms became far more sophisticated and powerful than this package. So I moved them to astToolkit. But those got so sophisticated, that I create more than half of that package through another layer of meta-programming: astToolFactory.
Second, when I finally understood the connections between map folding and meanders, I added meanders to this package, and applied my transformation tools to that algorithm.
I used a weaker form of this package to compute new terms for OEIS A001415, "Number of ways of folding a 2 X n strip of stamps."
Finding stuff
- At the moment, almost every algorithm version eventually runs through "mapFolding/basecamp.py", so it's sort of an overview and you can work backwards to find more details.
- The directory "mapFolding/algorithms" only has "handmade" algorithms. Therefore, most logic for most computations is based on something in that directory.
- The directory "mapFolding/syntheticModules" has code that is generated by the transformation tools.
- Transformation functions are in "mapFolding/someAssemblyRequired."
- The directory "mapFolding/reference" has "reference" materials.
- "mapFolding/tests" has the tests, and I have tried to make it easy for you to add your versions of the algorithms to the tests. Is it actually easy? I'll say it this way: if you were to create your own subclass of
ast.ASTit would be impossible for you to add your subclass to all of theastmodule tests with just a few lines of code. In contrast, it is possible to fully test your algorithm with my tests by adding between 3 and 25 lines of code. So, yeah, it's easy.
Math and programming
I'm not a mathematician. I don't have training in or professional experience as a programmer. I'm not stupid: I'm ignorant.
Reference materials
A map-folding problem
Folding a strip of stamps
Multi-dimensional map-folding
A transfer matrix approach to the enumeration of plane meanders
- BibTeX citation. TeX Source with precise formulas for AI agents.
- DOI: 10.1088/0305-4470/33/34/301
- Free pre-print: arXiv:cond-mat/0008178
A new transfer-matrix algorithm for exact enumerations: self-avoiding polygons on the square lattice
- BibTeX citation. TeX Source with precise formulas for AI agents.
- DOI: 10.1088/1751-8113/45/11/115202
- Free pre-print: arXiv:1111.5877
Stamp Foldings, Semi-Meanders, and Open Meanders: Fast Generation Algorithms
Foldings and meanders
- BibTeX citation. TeX Source with precise formulas for AI agents.
- PDF: The Australasian Journal of Combinatorics
- Free pre-print: arXiv:1302.2025
Valid Orderings of Layers When Simple-Folding a Map
My recovery
1 maintainer
Download files
Download the file for your platform. If you're not sure which to choose, learn more about installing packages.
Source Distribution
Built Distribution
Filter files by name, interpreter, ABI, and platform.
If you're not sure about the file name format, learn more about wheel file names.
Copy a direct link to the current filters
File details
Details for the file mapfolding-0.27.0.tar.gz.
File metadata
- Download URL: mapfolding-0.27.0.tar.gz
- Upload date:
- Size: 297.3 kB
- Tags: Source
- Uploaded using Trusted Publishing? Yes
- Uploaded via:
twine/6.1.0 CPython/3.13.13
File hashes
| Algorithm | Hash digest | |
|---|---|---|
| SHA256 |
33eec77a2fc6ac66c62a09f830abe26822866dfeb6f854c225aeb4787512a0d2
|
|
| MD5 |
720c1bb1cd3333adee47071c30375919
|
|
| BLAKE2b-256 |
8b785e07bb6e5892b6a392f88b2f4d19f0baa138b1c4e65c2e7c04bcfba8d4bd
|
File details
Details for the file mapfolding-0.27.0-py3-none-any.whl.
File metadata
- Download URL: mapfolding-0.27.0-py3-none-any.whl
- Upload date:
- Size: 378.6 kB
- Tags: Python 3
- Uploaded using Trusted Publishing? Yes
- Uploaded via:
twine/6.1.0 CPython/3.13.13
File hashes
| Algorithm | Hash digest | |
|---|---|---|
| SHA256 |
a1985874efb1b1c5431069f4c5b26b5a37df4fc174a0bb382927661084bc4d88
|
|
| MD5 |
23bf80cf79ad340ad1722c026a5e38d1
|
|
| BLAKE2b-256 |
2cf91669be0215f3f5b352590d4248896bf279a21797bf5779c5cd102b01f0a1
|
