66 relations: Acute and obtuse triangles, Aequationes Mathematicae, Affine geometry, Affine transformation, Area, Circle, Complex number, Complex plane, Cone, Congruence (geometry), Conic section, Convex set, Cube, Curve, Cylinder, David George Kendall, Differential geometry, Disk (mathematics), Ellipse, Ellipsoid, Equilateral triangle, Equivalence class, Equivalence relation, Euclidean space, Fractal, Geometric shape, Geometry, Geon (psychology), Glossary of shapes with metaphorical names, Homeomorphism, Invariant (mathematics), Isosceles triangle, Line (geometry), Manhole cover, Mathematical joke, Mirror image, Parabola, Parallelogram, Pentagon, Permutation, Plane (geometry), Point (geometry), Polygon, Polyhedron, Procrustes analysis, Quadrilateral, Quasi-isometry, Rafael Artzy, Rectangle, Rhombus, ..., Rigid transformation, Rotation, Scaling (geometry), Shape factor, Similarity (geometry), Solid geometry, Spectral shape analysis, Sphere, Square, Statistical shape analysis, Surface (mathematics), Symmetry, Torus, Translation (geometry), Trapezoid, Triangle. Expand index (16 more) » « Shrink index
An acute triangle is a triangle with all three angles acute (less than 90°).
Aequationes Mathematicae is a mathematical journal.
In mathematics, affine geometry is what remains of Euclidean geometry when not using (mathematicians often say "when forgetting") the metric notions of distance and angle.
In geometry, an affine transformation, affine mapBerger, Marcel (1987), p. 38.
Area is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane.
A circle is a simple closed shape.
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
In mathematics, the complex plane or z-plane is a geometric representation of the complex numbers established by the real axis and the perpendicular imaginary axis.
A cone is a three-dimensional geometric shape that tapers smoothly from a flat base (frequently, though not necessarily, circular) to a point called the apex or vertex.
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
In mathematics, a conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone with a plane.
In convex geometry, a convex set is a subset of an affine space that is closed under convex combinations.
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex.
In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but that need not be straight.
A cylinder (from Greek κύλινδρος – kulindros, "roller, tumbler"), has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes.
David George Kendall FRS (15 January 1918 – 23 October 2007) was an English statistician and mathematician, known for his work on probability, statistical shape analysis, ley lines and queueing theory.
Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in geometry.
In geometry, a disk (also spelled disc).
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve.
An ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional scalings, or more generally, of an affine transformation.
In geometry, an equilateral triangle is a triangle in which all three sides are equal.
In mathematics, when the elements of some set S have a notion of equivalence (formalized as an equivalence relation) defined on them, then one may naturally split the set S into equivalence classes.
In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive.
In geometry, Euclidean space encompasses the two-dimensional Euclidean plane, the three-dimensional space of Euclidean geometry, and certain other spaces.
In mathematics, a fractal is an abstract object used to describe and simulate naturally occurring objects.
A geometric shape is the geometric information which remains when location, scale, orientation and reflection are removed from the description of a geometric object.
Geometry (from the γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space.
Geons are the simple 2D or 3D forms such as cylinders, bricks, wedges, cones, circles and rectangles corresponding to the simple parts of an object in Biederman's Recognition-by-components theory.
Many shapes have metaphorical names, i.e., their names are metaphors: these shapes are named after a most common object that has it.
In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function.
In mathematics, an invariant is a property, held by a class of mathematical objects, which remains unchanged when transformations of a certain type are applied to the objects.
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
The notion of line or straight line was introduced by ancient mathematicians to represent straight objects (i.e., having no curvature) with negligible width and depth.
A manhole cover is a removable plate forming the lid over the opening of a manhole, to prevent anyone or anything from falling in, and to keep out unauthorized persons and material.
A mathematical joke is a form of humor which relies on aspects of mathematics or a stereotype of mathematicians to derive humor.
A mirror image (in a plane mirror) is a reflected duplication of an object that appears almost identical, but is reversed in the direction perpendicular to the mirror surface.
In mathematics, a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped.
In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides.
In geometry, a pentagon (from the Greek πέντε pente and γωνία gonia, meaning five and angle) is any five-sided polygon or 5-gon.
In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far.
In modern mathematics, a point refers usually to an element of some set called a space.
In elementary geometry, a polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed polygonal chain or circuit.
In geometry, a polyhedron (plural polyhedra or polyhedrons) is a solid in three dimensions with flat polygonal faces, straight edges and sharp corners or vertices.
In statistics, Procrustes analysis is a form of statistical shape analysis used to analyse the distribution of a set of shapes.
In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners.
In mathematics, quasi-isometry is an equivalence relation on metric spaces that ignores their small-scale details in favor of their coarse structure.
Rafael Artzy (23 July 1912 – 22 August 2006) was an Israeli mathematician specializing in geometry.
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.
In plane Euclidean geometry, a rhombus (plural rhombi or rhombuses) is a simple (non-self-intersecting) quadrilateral whose four sides all have the same length.
In mathematics, a rigid transformation or Euclidean isometry of a Euclidean space preserves distances between every pair of points.
A rotation is a circular movement of an object around a center (or point) of rotation.
In Euclidean geometry, uniform scaling (or isotropic scaling) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions.
Shape factor refers to a value that is affected by an object's shape but is independent of its dimensions.
Two geometrical objects are called similar if they both have the same shape, or one has the same shape as the mirror image of the other.
In mathematics, solid geometry is the traditional name for the geometry of three-dimensional Euclidean space.
Spectral shape analysis relies on the spectrum (eigenvalues and/or eigenfunctions) of the Laplace–Beltrami operator to compare and analyze geometric shapes.
A sphere (from Greek σφαῖρα — sphaira, "globe, ball") is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball (viz., analogous to the circular objects in two dimensions, where a "circle" circumscribes its "disk").
In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or (100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length. A square with vertices ABCD would be denoted.
Statistical shape analysis is an analysis of the geometrical properties of some given set of shapes by statistical methods.
In mathematics, a surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero.
Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance.
In geometry, a torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis coplanar with the circle.
In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction.
In Euclidean geometry, a convex quadrilateral with at least one pair of parallel sides is referred to as a trapezoid in American and Canadian English but as a trapezium in English outside North America.
A triangle is a polygon with three edges and three vertices.