Interactive Math Software

Last Change: November 7, 2023

• Play:
  • Pirouette. A Spirograph clone for drawing and printing hypocycloids.
  • Phosphene. Create patterns using identical square tiles.
• Puzzles:
  • Non-Attacking Queens. Place \(n\) queens on an \(n \times n\) chess board so that no two attack each other.
  • The Fifteen Puzzle. Unscramble numbered tiles.
• Calculus:
  • Riemann sums. (C. Cao and H. Tucceri)
  • Taylor approximation.
• Geometry:
  • Torus sketch. Draw on the surface of a torus. (Inspired by a question at math.stackexchange.com.)
  • The hypercube. Explore the geometry of a cube in four-space.
  • Morph. Shadows of surfaces in higher dimensions.
  • Möbius transformations.
  • Riemann surfaces.
• Group Theory:
  • Subgroups of \((\mathbf{Z}_{m} \times \mathbf{Z}_{n}, +)\).
  • Cosets in \((\mathbf{Z}_{m} \times \mathbf{Z}_{n}, +)\).
• Linear Algebra:
  • Geometry of linear transformations.
  • Matrix multiplcation.
  • Gaussian elimination.
  • Matrix inversion.