Funny Algebraic Visualizations

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Interactive visualizations of algebraic structures with a clean, academic design.
Current focus: Group Theory — Cayley graphs of $S_4$ and its subgroups $A_4$, $C_4$, $D_4$.
Future directions: Lie algebras, Young tableaux, and spectral/representation views.

Goal: Build a unified space where algebraic structures can be explored visually, interactively, and reproducibly.

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Features

• 🧭 Interactive visualizations (Plotly exports embedded in viewer)
• 🧾 LaTeX notes rendered with MathJax
• 🌓 Light/Dark theme with icon toggle
• 🧱 WebGL fallback — graceful message on unsupported devices
• 📦 Hosted via GitHub Pages, no backend required

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Project Structure

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├─ index.html                 # Main site shell
├─ assets/                    # Favicon, og-preview image, icons
├─ graphs/                    # Prebuilt visualizations (Plotly HTML exports)
│  ├─ cayley_graph_S4_gs_1.html
│  ├─ cayley_graph_S4_gs_2.html
│  ├─ cayley_graph_S4_A4.html
│  ├─ cayley_graph_S4_C4.html
│  └─ cayley_graph_S4_D4.html
├─ README.md
└─ LICENSE

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Generate Visuals

import plotly.graph_objects as go, plotly.io as pio

fig = go.Figure(data=[ ... ], layout=go.Layout(margin=dict(l=0,r=0,t=0,b=0)))
pio.write_html(fig, "graphs/my_visual.html", include_plotlyjs="cdn", full_html=True)

Then reference it in index.html via the viewer iframe or add a new Quick Access card.

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Local Preview

python -m http.server 8000
# open http://localhost:8000/

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License

Released under the MIT License (see LICENSE).

© 2025 funnyalgebraicvisualizations