List of geometry topics

• Geometric shape covers standard terms for plane shapes
• List of mathematical shapes covers all dimensions
• List of geometers
• See also list of curves

Types, methodologies, and terminologies of geometry

• Affine geometry
• Algebraic geometry
• Analytic geometry
• Birational geometry
• Complex geometry
• Combinatorial geometry
• Computational geometry
• Conformal geometry
• Constructive solid geometry
• Convex geometry
• Differential geometry
• Digital geometry
• Discrete geometry
• Elliptic geometry
• Euclidean geometry
• Finite geometry
• Geometry of numbers
• Hyperbolic geometry
• Integral geometry
• Inversive geometry
• Noncommutative geometry
• Non-Euclidean geometry
• Numerical geometry
• Plane geometry
• Projective geometry
• Riemannian geometry
• Spherical geometry
• Synthetic geometry
• Transformation geometry

Euclidean geometry

• Congruence
  • Reflection
  • Rotation
  • Translation
• Similarity (mathematics)
  • Similarity transformation
  • Homothety

Plane geometry

• 2D computer graphics
• Brahmagupta's formula
• Complex geometry
• Conic section
  • Circle
    • Thales' theorem
    • Circumcircle
    • Incircle and excircles of a triangle
    • Circle points segments proof
    • Mrs. Miniver's problem
    • Isoperimetric theorem
  • Eccentricity
  • Ellipse
  • Hyperbole
  • Parabola
  • Matrix representation of conic sections
• Cyclic quadrilateral
• Heron's formula
• Pappus's theorem
• Parallel postulate
• Polygon
  • Pick's theorem
  • Bolyai-Gerwien theorem
• Straightedge
• Ruler-and-compass constructions
  • Squaring the circle
• Tiling
  • Prototile
  • Tessellation
  • Wang tile
  • Penrose tiling
• Triangle
  • Pythagorean theorem
• Trigonometry
  • List of trigonometry topics

Three dimensions

• 3D projection
• 3D computer graphics
  • Binary space partition
  • Ray tracing
  • Graham scan
• Crystal
• Desargues' theorem
• Hyperboloid
• Paraboloid
• Polyhedron
  • Prism
  • Prismatoid
  • Honeycomb
  • Pyramid
  • Parallelepiped
  • Tetrahedron
    • Heronian tetrahedron
  • Platonic solid
  • Archimedean solid
  • Kepler-Poinsot solid
  • Johnson solid
  • Uniform polyhedron
  • Polyhedral compound
  • Hilbert's third problem
  • Surface normal
• Sphere, spheroid, ellipsoid
  • Parabolic microphone
  • Parabolic reflector
• Stereographic projection
• Stereometry

N dimensions

• Cone
• Convex
  • Convex hull
• Coxeter group
• Euclidean distance
• Hyperplane
• Lattice
  • Ehrhart polynomial
  • Leech lattice
  • Minkowski's theorem
• Packing and covering
  • Sphere packing
    • Kepler conjecture
    • Kissing number problem
  • Tiling
    • Andreini tessellation
    • Uniform tessellation
    • Voronoi tessellation
    • Delaunay triangulation
    • Quasicrystal
• Parallelogram law
• Polytope
• Quadric
  • Hypersphere, sphere
  • Spheroid
  • Ellipsoid
  • Hyperboloid
  • Paraboloid
  • Cone
• Root system
• Similarity (mathematics)
• Voronoi tesselation
• Zonotope

Non-Euclidean geometry

• Angle excess
• Desargues' theorem
• Hyperbolic geometry
  • Pseudosphere
  • Tractricoid
• Spherical geometry
  • Elliptic or Riemannian geometry
• Thurston's conjecture

Numerical geometry

• Curve interpolation
• Parametric curve
  • Bezier curve
  • Spline
    • Hermite spline
    • Linear spline
    • Quadratic spline
    • Cubic spline
      • Beta spline
        • B-spline
    • Higher-order spline
    • NURBS

• Parametric surface
  • Parametric patch

Geometric algorithms

• Convex hull construction

Various

• Chirality
  • Handedness
  • Left and right
  • Mirror image
• Erlangen program
• Group action, invariant
• Incidence (geometry)
• Minkowski space
• Pi
• Symmetry, shape, pattern
  • Symmetry group

Applications

• Astronomy
• Computer graphics
• Image analysis

Related topics

• Mathematics
• Topology

Referenced By