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
