My mathematical drawings and animations



  • Geodesic space
  • Two profile graphs of Z
  • Two profile graphs of Z/6Z
  • A profile graph of PSL(2,Z)
  • A profile graph of F_2
  • Profile graphs of Z^2
  • Thin triangles
  • Thin triangles in H^2
  • Thin triangles in PSL(2,Z)
  • Thin triangles in F_2
  • Z*Z^2 (the universal cover of a torus wedge a circle)
  • Amalgamated product of a surface group with Z^2 (Relative hyperbolicity, exposed at ICERM)
  • Fundamental group
  • Inverse in the fundamental group
  • Trivial loop
  • A non-trivial loop
  • A non-trivial loop and its inverse
  • Truncated hyperbolic space (with explanations)
  • Elliptic isometry in H^3 (inspired by Roice Nelson)
  • Elliptic isometry 2 in H^3 (inspired by Roice Nelson)
  • Hyperbolic isometry in H^3 (inspired by Roice Nelson)
  • Hyperbolic isometry 2 in H^3 (inspired by Roice Nelson)
  • Parabolic isometry in H^3
  • A torus
  • A genus 2 surface




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