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Wedge Product Visual Lab

This visualisation uses AI Generated code, finetuned for the best visualisation, not code quality

wedge.mov

Interactive C + Raylib lab for understanding the wedge product as oriented area: from vector pairs and parallelograms to determinants, flux elements, and sign-sensitive geometry.

What This Visualisation Shows

  • Why u ^ v measures signed area instead of ordinary dot-product similarity
  • How swapping vector order flips orientation and therefore the sign
  • How the wedge product matches the 2 x 2 determinant in 2D
  • How the same idea appears in flux, torque, and plane-oriented geometry

Visual Map

flowchart LR
    A["Vector u"]
    B["Vector v"]
    C["Parallelogram Span"]
    D["Signed Area u ^ v"]
    E["Determinant View"]
    F["Flux / Torque / Orientation"]

    A --> C
    B --> C
    C --> D
    D --> E
    D --> F
Loading

Controls

  • q: quit
  • 1 / 2 / 3: switch pages
  • space: pause or resume motion
  • mouse drag: move interactive vectors on the geometry-heavy pages

Run

make run

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Wedge Product Visualisation

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