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Geometry

Two-dimensional space

Three-dimensional space

Four-dimensional space

Euclidean geometry

Non-Euclidean geometry

Four-dimensional analog of the dodecahedron

Four-dimensional analog of the octahedron

Regular object in four dimensional geometry

Four-dimensional analogue of the tetrahedron

Four-dimensional analog of the icosahedron

Analytic geometry

Study of geometry using a coordinate system

Figure formed by two rays meeting at a common point

Size of a two-dimensional surface

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Hard, high-strength copper alloy

Division of something into two equal or congruent parts

Brachistochrone curve

Fastest descent curve

Set of points on a line segment

Cartesian coordinate system

Most common coordinate system (geometry)

Plane curve formed by a hanging cable

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Swedish interdisciplinary research center

Perimeter of a circle or ellipse

Topological notions of all points being "close"

Congruence (geometry)

Relationship between two figures of the same shape and size, or mirroring each other

Curve from a cone intersecting a plane

In geometry, set that intersects every line into a single line segment

Coordinate system

System for determining the position of a point by a tuple of scalars

Geometric property of objects being on a single plane

Mathematical idealization of the trace left by a moving point

Curve traced by a point on a rolling circle

Surface formed by the points at a fixed distance from a given straight line called the axis of the cylinder; one of the most basic curvilinear geometric shapes

Cylindrical coordinate system

3-dimensional coordinate system

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Shape with ten sides

Differential geometry

Branch of mathematics dealing with functions and geometric structures on differentiable manifolds

Angle between two planes in space

Property of a mathematical space

Straight line that connects two points in a measurable space or in an observable physical space

Polyhedron with 12 faces

Plane curve: conic section

Algebraic curve

Elliptic geometry

Non-Euclidean geometry

Equilateral triangle

Type of triangle with three sides of equal length

Euclidean geometry

Mathematical model of the physical space

Euclidean plane

Geometric model of the planar projection of the physical universe

Euclidean plane

A flat two-dimensional surface

Euclidean space

Fundamental space of geometry

Euler characteristic

Topological invariant in mathematics

Visual aid to depiction of a vector field

Four-dimensional space

Geometric space with four dimensions

Infinitely detailed mathematical structure

General topology

Branch of topology

Branch of mathematics

Measure of vertical distance

Shape with six sides

Homology (mathematics)

Way of associating mathematical objects

Continuous deformation between two continuous functions

Plane curve: conic section

Hyperbolic angle

Argument of the hyperbolic functions

Hyperbolic geometry

Non-Euclidean geometry

Hyperbolic triangle

Triangle in the hyperbolic plane, possibly having ideal vertices

Polyhedron with 20 faces

Internal and external angles

Term in geometry

Isosceles triangle

Triangle with at least two sides congruent

Fractal sets in complex dynamics of mathematics

Study of mathematical knots

Lattice (group)

Subgroup of a real vector space

Property of all triangles on a Euclidean plane

Property of all triangles on a Euclidean plane

Figure-eight-shaped curve

A measure of distance in physical space

Line (geometry)

Straight figure with zero width and depth

Line–line intersection

Intersection of a line and a line can be the empty set, a point, or a line

Locus (mathematics)

Set of points that satisfy some specified conditions

Fractal named after mathematician Benoit Mandelbrot

Topological space that locally resembles Euclidean space

Mathematical set defining distance

Minkowski's theorem

Every symmetric convex set in Rn with volume > 2^n contains a non-zero integer point

Non-Euclidean geometry

Two geometries based on axioms closely related to those specifying Euclidean geometry

Polygon shape with eight sides

Polyhedron with eight triangular faces

One-dimensional space

Space with one dimension

Basic subset of a topological space

Plane curve: conic section

Parallel (geometry)

Relation used in geometry

Quadrilateral with two pairs of parallel sides

Shape with five sides

Path that surrounds an area

Relationship between two lines that meet at a right angle (90 degrees)

Any of the five regular polyhedra

Poincaré conjecture

Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere

Point (geometry)

Fundamental object of geometry

Polar coordinate system

Two-dimensional coordinate system where each point is determined by a distance from reference point and an angle from a reference direction

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3D shape with flat faces, straight edges and sharp corners

Prism (geometry)

Solid with 2 parallel n-gonal bases connected by n parallelograms

Pyramid (geometry)

Conic solid with a polygonal base

Pythagorean theorem

Equation relating the side lengths of a right triangle

Four-sided polygon

Segment in a circle or sphere from its center to its perimeter or surface and its length

Quadrilateral with four right angles

Regular dodecahedron

Convex polyhedron with 12 regular pentagonal faces

Regular icosahedron

Regular polygon

Equiangular and equilateral polygon

Regular polyhedron

Polyhedron with regular congruent polygons as faces

Reuleaux triangle

Reuleaux polygon with three sides

Quadrilateral in which all sides have the same length

Riemannian geometry

Branch of differential geometry

90° angle (π/2 radians)

When one angle is a 90-degree angle

Rotations in 4-dimensional Euclidean space

Special orthogonal group

Form of an object or its external boundary

Sierpiński triangle

Fractal composed of triangles

Similarity (geometry)

Same shape, up to a scaling

Magnitude or dimension of a thing

Lines in 3D that do not intersect and neither do they point the same direction

Measure of how large an object appears to an observer at a given point in three-dimensional space

Field of mathematics dealing with three-dimensional Euclidean spaces

Geometrical object that is the surface of a ball

Spherical coordinate system

3-dimensional coordinate system

Spherical geometry

Geometry of a sphere

Regular quadrilateral

Squaring the circle

Problem of constructing equal-area shapes

Surface (mathematics)

Mathematical idealization of the surface of a body

Measure of the two-dimensional extent of a surface

Mathematical invariance under transformations

Symmetry (geometry)

Geometrical property and transformation

Symmetry in mathematics

Symmetry in mathematics

Systolic geometry

Minimum length of a noncontractible closed curve in a metric space

Algebraic object with geometric applications

Tiling of a plane in mathematics

Tesseract (band)

English progressive metal band

Polyhedron with 4 faces

Three-dimensional space

Geometric model of the physical space

Topological space

Mathematical space with a notion of closeness

Branch of mathematics

Convex quadrilateral with at least one pair of parallel sides

Shape with three sides

In geometry, study of the relationship between angles and lengths

Circle with radius of one

Quantity of three-dimensional space

Number of times a curve wraps around a point in the plane

Zero-dimensional space

Topological space of dimension zero