Winding Numbers

Immersion Info

Closed: --
Tangential Intersections: --
Crossings: --
Immersion Parts: --
Connected Components: --
Winding Numbers: --
Double Point Indices: --
J⁺: --
Rotation Number: --

Mouse Mode

Immersion

New

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Segments

Handles

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Place Origin

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Place 2center E

Place 2center M

Actions

Reset View

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to Top

to Bottom

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Visuals

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Nothing

Bifurcation

Rotated Kepler

Levi-Civita Regularize

Birkhoff Regularize

For now, bifurcation generation only works by using keyboard shortcuts. And it crashes a lot for many stupid reasons. Better implementation with nice buttons maybe soon?:

Draw a curve. And hope that the areas of the curve are colored (else the program encountered an error somewhere).
First click the "Bifurcation" button. Now you should see a few green lines, which is a preview for a 2-bifurcation.
Press any of the numbers "1", "2", "3", ..., "8", "9" on the keyboard to change the bifurcation number. Here you only see green preview lines.
Press "B" when you are ready to create the bifurcation and let the program analyze its areas and calculate some stuff.

Settings

Implementation coming soon ...?

TODO: change alle the values of MySettings, maybe even with an export-import-feature for settings? <- just a JSON-string that can be put into a textfiedl for the import, and for the export save as file or copy to clipboard

About

Tool for automatic calculation of values for the J⁺-invariant, with some extra features. This was implemented as part of my Mathematics Master's degree.

Get the source code on GitLab (JavaScript, Paperjs, another external package for bifurcation offset clones, and then some HTML and CSS). Implemented mainly using Paper.js and JavaScript.