drawing knots and braids [uts-000I]
✍️source

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Context

test tikz drawing [uts-000E]

This is a series of experiments with TikZ drawing to ensure my `diagrams.tex` has sufficient preambles to render them. Most of them are adapted to minimize dependencies, and fix wierd render issues.

some important links


- Styling considerations: Illustrating Geometry by Keenan Crane
- Workflow: Explanatory paper figures with Illustrator and Blender
- TikZ drawing tools
  - Quiver
  - TikZiT
  - TikzMaker
  - awesome-latex-drawing
- TikZ browser-side rendering
  - TikZJax
  - LaTeX.wasm

from sites collecting TikZ examples [uts-000P]

pgfplots.net


- Heteroskedasticity in a model of linear regression
- Spiral cone with projections and annotations
- Plotting several 2d functions in a 3d graph
- Lorentz system (requires LuaLaTeX)
- Moebius strip (requires non-DVI drivers)

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TikZ.net


- Izaak Neutelings has diagrams covering all areas of Physics, e.g. vector analysis on manifolds, 3D coordinate systems, diagrams on different planes
- Analysis has many diagrams on analysis.
- Bernouilli’s equation has diagrams with proper shading of complicated smooth geometries.
- Some other interesting diagrams: Helicoid, Manifold mapping, topology, Convolution Operator, Fourier series & synthesis with projections, Tree with aligned matrix

figure out why all distance has to be 0, or all of them become too far away. $\text{[math]}$ $\text{[math]}$ $\text{[math]}$ $\text{[math]}$

holatex.app

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from various sources: annotating on 2D/3D diagrams

The following is adapted from exo7math/deepmath-exo7:

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The following is adapted from bcharlier/HLMA410:

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The following is adapted from giaan-nguyen/latex-notes:

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The following is adapted from 20squares/blog (rendered):

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from various sources: plots

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Reproducing \(\mathbf {V}\left (x^2-y^2 z^2+z^3\right )\) from [cox1997ideals, p. 7, p. 16] using addplot3

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test tikz drawing for ray-tracing [uts-000N]

Adpated from Eric Wieser's snippet from the bivector discord (is it possible to combine this with kingdon and pylatex to render it with PGA etc.?):

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Drawing string diagrams [uts-0008]

The following are now used extensively in related links and backlinks of string diagram [nakahira2023diagrammatic, table 1.1].

The following is testing string diagram drawing using the example from Jon Sterling's String diagrams (extensively used in [sterling2023models] and [sterling2023monads]):

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The following follows Algebraic description of natural models

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The following is testing string diagram drawing using the example from Category theory using string diagrams:

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drawing knots and braids [uts-000I]
✍️source

From ⧉ (doc):

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From ⧉:

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some more links

- Tool: PGFPlotsEdt
- Three-dimensional graphics with PGF/TikZ by Keith Wolcott
- Draw a surface using Tikz on SE