René's URL Explorer Experiment


Title: GitHub - ratwolfzero/hopalong_python: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor

Open Graph Title: GitHub - ratwolfzero/hopalong_python: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor

X Title: GitHub - ratwolfzero/hopalong_python: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor

Description: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor - ratwolfzero/hopalong_python

Open Graph Description: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor - ratwolfzero/hopalong_python

X Description: Generative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor - ratwolfzero/hopalong_python

Mail addresses
ratwolf@duck.com

Opengraph URL: https://github.com/ratwolfzero/hopalong_python

X: @github

direct link

Domain: patch-diff.githubusercontent.com

route-pattern/:user_id/:repository
route-controllerfiles
route-actiondisambiguate
fetch-noncev2:0839d8a1-6cb1-0ee0-eae7-c349534d32c8
current-catalog-service-hashf3abb0cc802f3d7b95fc8762b94bdcb13bf39634c40c357301c4aa1d67a256fb
request-id9EB2:B38F8:C9A268:104ABFB:69802669
html-safe-nonce8cf98c492c6b2fa20dd5bc476ef39e0d43b69e4ce17386fa0a9e88d6e7fef07e
visitor-payloadeyJyZWZlcnJlciI6IiIsInJlcXVlc3RfaWQiOiI5RUIyOkIzOEY4OkM5QTI2ODoxMDRBQkZCOjY5ODAyNjY5IiwidmlzaXRvcl9pZCI6IjU1NzQ3MzA4MTYxNDkzNTY1NyIsInJlZ2lvbl9lZGdlIjoiaWFkIiwicmVnaW9uX3JlbmRlciI6ImlhZCJ9
visitor-hmac4b9c728346044807affcf5a4601fd5866f6395be242df51d7ac3878d85f8ab3e
hovercard-subject-tagrepository:915892006
github-keyboard-shortcutsrepository,copilot
google-site-verificationApib7-x98H0j5cPqHWwSMm6dNU4GmODRoqxLiDzdx9I
octolytics-urlhttps://collector.github.com/github/collect
analytics-location//
fb:app_id1401488693436528
apple-itunes-appapp-id=1477376905, app-argument=https://github.com/ratwolfzero/hopalong_python
twitter:imagehttps://repository-images.githubusercontent.com/915892006/8521ff76-b601-42b7-a3a0-a984b9067454
twitter:cardsummary_large_image
og:imagehttps://repository-images.githubusercontent.com/915892006/8521ff76-b601-42b7-a3a0-a984b9067454
og:image:altGenerative Density Approximation for Deterministic Point Patterns: The Hopalong Attractor - ratwolfzero/hopalong_python
og:site_nameGitHub
og:typeobject
hostnamegithub.com
expected-hostnamegithub.com
None60279d4097367e16897439d16d6bbe4180663db828c666eeed2656988ffe59f6
turbo-cache-controlno-preview
go-importgithub.com/ratwolfzero/hopalong_python git https://github.com/ratwolfzero/hopalong_python.git
octolytics-dimension-user_id146517418
octolytics-dimension-user_loginratwolfzero
octolytics-dimension-repository_id915892006
octolytics-dimension-repository_nworatwolfzero/hopalong_python
octolytics-dimension-repository_publictrue
octolytics-dimension-repository_is_forkfalse
octolytics-dimension-repository_network_root_id915892006
octolytics-dimension-repository_network_root_nworatwolfzero/hopalong_python
turbo-body-classeslogged-out env-production page-responsive
disable-turbofalse
browser-stats-urlhttps://api.github.com/_private/browser/stats
browser-errors-urlhttps://api.github.com/_private/browser/errors
release7c85641c598ad130c74f7bcc27f58575cac69551
ui-targetfull
theme-color#1e2327
color-schemelight dark

Links:

Skip to contenthttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#start-of-content
https://patch-diff.githubusercontent.com/
Sign in https://patch-diff.githubusercontent.com/login?return_to=https%3A%2F%2Fgithub.com%2Fratwolfzero%2Fhopalong_python
GitHub CopilotWrite better code with AIhttps://github.com/features/copilot
GitHub SparkBuild and deploy intelligent appshttps://github.com/features/spark
GitHub ModelsManage and compare promptshttps://github.com/features/models
MCP RegistryNewIntegrate external toolshttps://github.com/mcp
ActionsAutomate any workflowhttps://github.com/features/actions
CodespacesInstant dev environmentshttps://github.com/features/codespaces
IssuesPlan and track workhttps://github.com/features/issues
Code ReviewManage code changeshttps://github.com/features/code-review
GitHub Advanced SecurityFind and fix vulnerabilitieshttps://github.com/security/advanced-security
Code securitySecure your code as you buildhttps://github.com/security/advanced-security/code-security
Secret protectionStop leaks before they starthttps://github.com/security/advanced-security/secret-protection
Why GitHubhttps://github.com/why-github
Documentationhttps://docs.github.com
Bloghttps://github.blog
Changeloghttps://github.blog/changelog
Marketplacehttps://github.com/marketplace
View all featureshttps://github.com/features
Enterpriseshttps://github.com/enterprise
Small and medium teamshttps://github.com/team
Startupshttps://github.com/enterprise/startups
Nonprofitshttps://github.com/solutions/industry/nonprofits
App Modernizationhttps://github.com/solutions/use-case/app-modernization
DevSecOpshttps://github.com/solutions/use-case/devsecops
DevOpshttps://github.com/solutions/use-case/devops
CI/CDhttps://github.com/solutions/use-case/ci-cd
View all use caseshttps://github.com/solutions/use-case
Healthcarehttps://github.com/solutions/industry/healthcare
Financial serviceshttps://github.com/solutions/industry/financial-services
Manufacturinghttps://github.com/solutions/industry/manufacturing
Governmenthttps://github.com/solutions/industry/government
View all industrieshttps://github.com/solutions/industry
View all solutionshttps://github.com/solutions
AIhttps://github.com/resources/articles?topic=ai
Software Developmenthttps://github.com/resources/articles?topic=software-development
DevOpshttps://github.com/resources/articles?topic=devops
Securityhttps://github.com/resources/articles?topic=security
View all topicshttps://github.com/resources/articles
Customer storieshttps://github.com/customer-stories
Events & webinarshttps://github.com/resources/events
Ebooks & reportshttps://github.com/resources/whitepapers
Business insightshttps://github.com/solutions/executive-insights
GitHub Skillshttps://skills.github.com
Documentationhttps://docs.github.com
Customer supporthttps://support.github.com
Community forumhttps://github.com/orgs/community/discussions
Trust centerhttps://github.com/trust-center
Partnershttps://github.com/partners
GitHub SponsorsFund open source developershttps://github.com/sponsors
Security Labhttps://securitylab.github.com
Maintainer Communityhttps://maintainers.github.com
Acceleratorhttps://github.com/accelerator
Archive Programhttps://archiveprogram.github.com
Topicshttps://github.com/topics
Trendinghttps://github.com/trending
Collectionshttps://github.com/collections
Enterprise platformAI-powered developer platformhttps://github.com/enterprise
GitHub Advanced SecurityEnterprise-grade security featureshttps://github.com/security/advanced-security
Copilot for BusinessEnterprise-grade AI featureshttps://github.com/features/copilot/copilot-business
Premium SupportEnterprise-grade 24/7 supporthttps://github.com/premium-support
Pricinghttps://github.com/pricing
Search syntax tipshttps://docs.github.com/search-github/github-code-search/understanding-github-code-search-syntax
documentationhttps://docs.github.com/search-github/github-code-search/understanding-github-code-search-syntax
Sign in https://patch-diff.githubusercontent.com/login?return_to=https%3A%2F%2Fgithub.com%2Fratwolfzero%2Fhopalong_python
Sign up https://patch-diff.githubusercontent.com/signup?ref_cta=Sign+up&ref_loc=header+logged+out&ref_page=%2F%3Cuser-name%3E%2F%3Crepo-name%3E&source=header-repo&source_repo=ratwolfzero%2Fhopalong_python
Reloadhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
Reloadhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
Reloadhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
ratwolfzero https://patch-diff.githubusercontent.com/ratwolfzero
hopalong_pythonhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
Notifications https://patch-diff.githubusercontent.com/login?return_to=%2Fratwolfzero%2Fhopalong_python
Fork 0 https://patch-diff.githubusercontent.com/login?return_to=%2Fratwolfzero%2Fhopalong_python
Star 2 https://patch-diff.githubusercontent.com/login?return_to=%2Fratwolfzero%2Fhopalong_python
github.com/ratwolfzero/hopalong_pythonhttps://github.com/ratwolfzero/hopalong_python
MIT license https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/LICENSE
2 stars https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/stargazers
0 forks https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/forks
Branches https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/branches
Tags https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tags
Activity https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/activity
Star https://patch-diff.githubusercontent.com/login?return_to=%2Fratwolfzero%2Fhopalong_python
Notifications https://patch-diff.githubusercontent.com/login?return_to=%2Fratwolfzero%2Fhopalong_python
Code https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
Issues 0 https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/issues
Pull requests 0 https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/pulls
Actions https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/actions
Projects 0 https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/projects
Security 0 https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/security
Insights https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/pulse
Code https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
Issues https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/issues
Pull requests https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/pulls
Actions https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/actions
Projects https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/projects
Security https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/security
Insights https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/pulse
Brancheshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/branches
Tagshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tags
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/branches
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tags
23 Commitshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/commits/main/
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/commits/main/
Alternative_Solutionshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Alternative_Solutions
Alternative_Solutionshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Alternative_Solutions
Documentationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Documentation
Documentationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Documentation
Experimental_Devhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Experimental_Dev
Experimental_Devhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Experimental_Dev
Outputhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Output
Outputhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Output
Statisticshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Statistics
Statisticshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/tree/main/Statistics
.gitignorehttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/.gitignore
.gitignorehttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/.gitignore
LICENSEhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/LICENSE
LICENSEhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/LICENSE
README.mdhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/README.md
README.mdhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/README.md
hopalong_basic.pyhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic.py
hopalong_basic.pyhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic.py
hopalong_basic_2D_3D.pyhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic_2D_3D.py
hopalong_basic_2D_3D.pyhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/hopalong_basic_2D_3D.py
hopalong_extended.pyhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/hopalong_extended.py
hopalong_extended.pyhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/hopalong_extended.py
READMEhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
MIT licensehttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_0.png
Calculate & Visualize the Hopalong Attractor with Pythonhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
Abstracthttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#abstract
Historical Contexthttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#historical-context
The Hopalong Attractor Functionshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#the-hopalong-attractor-functions
Computational Approachhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#computational-approach
Requirementshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#requirements
Usagehttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#usage
Inputhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#input
Outputhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#output
Features, Functionality, and Special Scenarioshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#features-functionality-and-special-scenarios
Program Variantshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#program-variants
Pixel-Based Density Approximationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Comparison of Pixel-Based Density Approximation vs. Histogram-Based Density Estimationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#comparison-of-pixel-based-density-approximation-vs-histogram-based-density-estimation
Pixel-Based Approximationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#pixel-based-approximation
Histogram-Based Estimationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#histogram-based-estimation
Visualization of Aggregated Density Distributionhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#visualization-of-aggregated-density-distribution
Summaryhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#summary
Conclusionshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#conclusions
Application of Copysign (Math Module) as a Signum Functionhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#application-of-copysign-math-module-as-a-signum-function
Special Constellations and Edge Cases of the Attractorhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#special-constellations-and-edge-cases-of-the-attractor
Optional Featureshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#optional-features
Performance Optimizationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#performance-optimization
Just-In-Time Compilation (JIT)https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#just-in-time-compilation-jit
Dummy Callshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#dummy-calls
Parallelization and Race Conditionshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#parallelization-and-race-conditions
Two-Pass Approachhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#two-pass-approach
Two-Pass Code Sectionhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#two-pass-code-section
Alternative Solutionshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#alternative-solutions
One-Pass Approach with Full Trajectory Caching*https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#one-pass-approach-with-full-trajectory-caching
One-Pass Approach with Limited Memory Usage (Chunked or No Caching)*https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#one-pass-approach-with-limited-memory-usage-chunked-or-no-caching
Potentially Other, More Sophisticated Solutionshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#potentially-other-more-sophisticated-solutions
Recaphttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#recap
Recent Code Changeshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#recent-code-changes
Enjoy the Explorationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#enjoy-the-exploration
Licensehttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#license
Referenceshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#references
References for Python Libraries and Moduleshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#references-for-python-libraries-and-modules
Mathematical Appendixhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#mathematical-appendix
Notations for Pixel-Based Density Approximationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#notations-for-pixel-based-density-approximation
Continuous to Discrete Mappinghttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#continuous-to-discrete-mapping
Tracking of Density Accumulationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#tracking-of-density-accumulation
Total Hit Counthttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#total-hit-count
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#abstract
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#historical-context
2https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#references
3https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#references
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#the-hopalong-attractor-functions
2https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#references
math.copysign()https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#application-of-copysign-math-module-as-a-signum-function
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#computational-approach
Pixel-Based Density Approximationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Two-Pass Approachhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#two-pass-approach
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#requirements
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#usage
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#input
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#output
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_1.png
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_2.png
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_3.png
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_4.png
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#features-functionality-and-special-scenarios
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#program-variants
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Mathematical Appendix:https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#mathematical-appendix
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#comparison-of-pixel-based-density-approximation-vs-histogram-based-density-estimation
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#pixel-based-approximation
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#histogram-based-estimation
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#visualization-of-aggregated-density-distribution
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#summary
Two-Pass Approachhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#two-pass-approach
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#conclusions
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_5.png
Special Constellations and Edge Caseshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#special-constellations-and-edge-cases-of-the-attractor
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#application-of-copysign-math-module-as-a-signum-function
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#special-constellations-and-edge-cases-of-the-attractor
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_6.png
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_7.png
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/Documentation/Figure_8.png
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#optional-features
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#performance-optimization
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#just-in-time-compilation-jit
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#dummy-calls
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#parallelization-and-race-conditions
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#two-pass-approach
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#two-pass-code-section
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#alternative-solutions
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#one-pass-approach-with-full-trajectory-caching
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#one-pass-approach-with-limited-memory-usage-chunked-or-no-caching
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#potentially-other-more-sophisticated-solutions
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#recap
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#recent-code-changes
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#enjoy-the-exploration
Also check out my simpler Rust versionhttps://github.com/ratwolfzero/hopalong
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#license
MIT Licensehttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/blob/main/LICENSE
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#references
Back to Abstracthttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#abstract
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#references-for-python-libraries-and-modules
NumPy Documentationhttps://numpy.org/doc/stable/
Matplotlib Documentationhttps://matplotlib.org/stable/contents.html
Numba Documentationhttps://numba.readthedocs.io/
Python Built-in Functionshttps://docs.python.org/3/library/functions.html
Python Math Modulehttps://docs.python.org/3/library/math.html
Python Time Modulehttps://docs.python.org/3/library/time.html#module-time
Python Resource Modulehttps://docs.python.org/3/library/resource.html
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#mathematical-appendix
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#notations-for-pixel-based-density-approximation
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#continuous-to-discrete-mapping
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#tracking-of-density-accumulation
https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#total-hit-count
Back to Pixel-Based Density Approximationhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#pixel-based-density-approximation
Back to Table of Contentshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#calculate--visualize-the-hopalong-attractor-with-python
github.com/ratwolfzero/hopalong_pythonhttps://github.com/ratwolfzero/hopalong_python
python https://patch-diff.githubusercontent.com/topics/python
dynamics https://patch-diff.githubusercontent.com/topics/dynamics
non-linear https://patch-diff.githubusercontent.com/topics/non-linear
quantization https://patch-diff.githubusercontent.com/topics/quantization
strange-attractors https://patch-diff.githubusercontent.com/topics/strange-attractors
deterministic https://patch-diff.githubusercontent.com/topics/deterministic
discretization https://patch-diff.githubusercontent.com/topics/discretization
density-estimation https://patch-diff.githubusercontent.com/topics/density-estimation
attractors https://patch-diff.githubusercontent.com/topics/attractors
orbis https://patch-diff.githubusercontent.com/topics/orbis
hopalong https://patch-diff.githubusercontent.com/topics/hopalong
pixel-based https://patch-diff.githubusercontent.com/topics/pixel-based
probability-density-function https://patch-diff.githubusercontent.com/topics/probability-density-function
non-linear-dynamics https://patch-diff.githubusercontent.com/topics/non-linear-dynamics
generative-methods https://patch-diff.githubusercontent.com/topics/generative-methods
barry-martin https://patch-diff.githubusercontent.com/topics/barry-martin
hopalong-attractor https://patch-diff.githubusercontent.com/topics/hopalong-attractor
emergent-density https://patch-diff.githubusercontent.com/topics/emergent-density
density-approximation https://patch-diff.githubusercontent.com/topics/density-approximation
martin-map https://patch-diff.githubusercontent.com/topics/martin-map
Readme https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#readme-ov-file
MIT license https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python#MIT-1-ov-file
Please reload this pagehttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python
Activityhttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/activity
2 starshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/stargazers
1 watchinghttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/watchers
0 forkshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/forks
Report repository https://patch-diff.githubusercontent.com/contact/report-content?content_url=https%3A%2F%2Fgithub.com%2Fratwolfzero%2Fhopalong_python&report=ratwolfzero+%28user%29
Releaseshttps://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/releases
Packages 0https://patch-diff.githubusercontent.com/users/ratwolfzero/packages?repo_name=hopalong_python
Python 100.0% https://patch-diff.githubusercontent.com/ratwolfzero/hopalong_python/search?l=python
https://github.com
Termshttps://docs.github.com/site-policy/github-terms/github-terms-of-service
Privacyhttps://docs.github.com/site-policy/privacy-policies/github-privacy-statement
Securityhttps://github.com/security
Statushttps://www.githubstatus.com/
Communityhttps://github.community/
Docshttps://docs.github.com/
Contacthttps://support.github.com?tags=dotcom-footer

Viewport: width=device-width

URLs of crawlers that visited me.