https://github.com/algebraicjulia/combinatorialspaces.jl

Simplicial Sets and the Discrete Exterior Calculus

https://github.com/algebraicjulia/combinatorialspaces.jl

Science Score: 26.0%

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  • Scientific vocabulary similarity
    Low similarity (12.0%) to scientific vocabulary

Keywords from Contributors

chemistry category-theory epidemiology petri algebra algebraic-structures relational relational-algebra relational-databases applied-category-theory
Last synced: 6 months ago · JSON representation

Repository

Simplicial Sets and the Discrete Exterior Calculus

Basic Info
  • Host: GitHub
  • Owner: AlgebraicJulia
  • License: mit
  • Language: Julia
  • Default Branch: main
  • Homepage:
  • Size: 183 MB
Statistics
  • Stars: 39
  • Watchers: 8
  • Forks: 5
  • Open Issues: 38
  • Releases: 32
Created about 5 years ago · Last pushed 6 months ago
Metadata Files
Readme License

README.md

CombinatorialSpaces.jl

Stable Documentation Development Documentation Code Coverage CI/CD

This package provides combinatorial models of geometric spaces, and implements the operators of the Discrete Exterior Calculus (DEC) on these spaces.

These "combinatorial spaces" - simplicial sets and combinatorial maps - are useful in computational physics, computer graphics, and other applications where geometry plays a large role. They are also potentially useful in non-geometric applications, since structures like simplicial sets generalize graphs from binary relations to higher-arity relations.

Current features include:

  • delta sets (semi-simplicial sets) in dimensions 1, 2, and 3, optionally oriented and/or embedded in Euclidean space
  • construction of the dual complex associated with a delta set, via combinatorial and geometric subdivision
  • operators of the Discrete Exterior Calculus, including the boundary, exterior derivative, Hodge star, codifferential, wedge product, Lie derivative, and Laplace-Beltrami operators
  • experimental support for rotation systems and combinatorial maps
  • binary and cubic subdivision of meshes
  • mesh optimization

The Decapodes.jl library generates DEC simulation code using these meshes and DEC operators. Alternatively, you can manually allocate differential operators using this library's API, as demonstrated in the documentation.

Combinatorial spaces, like graphs, are typically C-sets (copresheaves) on some category C. They are implemented here using the general data structures for C-sets offered by Catlab.jl. Thus, this package complements and extends the family of graph data structures shipped with Catlab in the module Catlab.Graphs.

Installation

To install this package, open the Julia shell, press ] to enter Pkg mode, and run the command

julia (@v1.11) pkg> add CombinatorialSpaces

Owner

  • Name: AlgebraicJulia
  • Login: AlgebraicJulia
  • Kind: organization

GitHub Events

Total
  • Create event: 63
  • Commit comment event: 23
  • Release event: 8
  • Issues event: 14
  • Watch event: 9
  • Delete event: 41
  • Issue comment event: 82
  • Push event: 229
  • Pull request review event: 44
  • Pull request review comment event: 56
  • Pull request event: 83
Last Year
  • Create event: 63
  • Commit comment event: 23
  • Release event: 8
  • Issues event: 14
  • Watch event: 9
  • Delete event: 41
  • Issue comment event: 82
  • Push event: 229
  • Pull request review event: 44
  • Pull request review comment event: 56
  • Pull request event: 83

Committers

Last synced: almost 3 years ago

All Time
  • Total Commits: 148
  • Total Committers: 4
  • Avg Commits per committer: 37.0
  • Development Distribution Score (DDS): 0.27
Top Committers
Name Email Commits
Evan Patterson e****n@e****g 108
bosonbaas b****s@g****m 37
github-actions[bot] 4****]@u****m 2
CompatHelper Julia c****y@j****g 1
Committer Domains (Top 20 + Academic)

Issues and Pull Requests

Last synced: 6 months ago

All Time
  • Total issues: 42
  • Total pull requests: 195
  • Average time to close issues: 6 months
  • Average time to close pull requests: 19 days
  • Total issue authors: 9
  • Total pull request authors: 11
  • Average comments per issue: 1.62
  • Average comments per pull request: 1.23
  • Merged pull requests: 157
  • Bot issues: 0
  • Bot pull requests: 4
Past Year
  • Issues: 15
  • Pull requests: 97
  • Average time to close issues: N/A
  • Average time to close pull requests: 5 days
  • Issue authors: 4
  • Pull request authors: 6
  • Average comments per issue: 0.0
  • Average comments per pull request: 1.05
  • Merged pull requests: 71
  • Bot issues: 0
  • Bot pull requests: 0
Top Authors
Issue Authors
  • lukem12345 (20)
  • jpfairbanks (8)
  • bosonbaas (4)
  • GeorgeR227 (3)
  • quffaro (2)
  • epatters (2)
  • slwu89 (1)
  • JuliaTagBot (1)
  • olynch (1)
Pull Request Authors
  • lukem12345 (67)
  • GeorgeR227 (31)
  • epatters (31)
  • algebraicjuliabot (30)
  • bosonbaas (11)
  • quffaro (10)
  • github-actions[bot] (4)
  • jpfairbanks (4)
  • KevinDCarlson (3)
  • olynch (3)
  • mehalter (1)
Top Labels
Issue Labels
enhancement (8) bug (4) buildkite (3) good first issue (2) documentation (2) Modeling (1)
Pull Request Labels
enhancement (65) documentation (12) physics (7) bug (3) buildkite (2) good first issue (1)

Packages

  • Total packages: 1
  • Total downloads:
    • julia 19 total
  • Total dependent packages: 2
  • Total dependent repositories: 0
  • Total versions: 32
juliahub.com: CombinatorialSpaces

Simplicial Sets and the Discrete Exterior Calculus

  • Versions: 32
  • Dependent Packages: 2
  • Dependent Repositories: 0
  • Downloads: 19 Total
Rankings
Dependent repos count: 9.9%
Dependent packages count: 16.6%
Average: 19.0%
Forks count: 24.5%
Stargazers count: 25.0%
Last synced: 6 months ago

Dependencies

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