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algebraics-viz

The algebraic numbers are exactly those that are roots of a integer polynomial. They form a subfield of the complex numbers. Since they are dense in R, they are hard to visualize. Recreate this visualization here: // https://commons.wikimedia.org/wiki/File:Algebraicszoom.png

  • Implement Newton's method to find the roots of a polynomial
  • Find the roots of lots and lots of polynomials (implement "precalc")
  • Figure out how to draw a triangle using OpenGL.
  • Figure out how to draw one circle using OpenGL.
  • Figure out how to draw many circles using OpenGL.
  • Figure out how to color things.
  • Figure out how to texture things.
    • Figure out how to change zoom
    • What are mipmaps?
  • Do this all in Vulkan

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