32 relations: Arrangement of lines, Bitruncated cubic honeycomb, Branko Grünbaum, Brickwork, Chamfered square tiling, Circle packing, Convex polygon, Conway polyhedron notation, Euclidean tilings by convex regular polygons, Geometry, Isosceles triangle, John Horton Conway, Kissing number problem, List of convex uniform tilings, Octagon, Percolation threshold, Pythagorean tiling, Rectangle, Regular polygon, Right triangle, Schläfli symbol, Snub square tiling, Square, Square root of 2, Square tiling, Truncation (geometry), Two-dimensional space, Uniform coloring, Union Jack, Vertex (geometry), Vertex figure, Weaving.
In geometry an arrangement of lines is the partition of the plane formed by a collection of lines.
The bitruncated cubic honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of truncated octahedra (or, equivalently, bitruncated cubes).
Branko Grünbaum (ברנקו גרונבאום; born 2 October 1929) is a Yugoslavian-born mathematician and a professor emeritus at the University of Washington in Seattle.
Brickwork is masonry produced by a bricklayer, using bricks and mortar.
In geometry, the chamfered square tiling or semitruncated square tiling is a tiling of the Euclidean plane.
In geometry, circle packing is the study of the arrangement of circles (of equal or varying sizes) on a given surface such that no overlapping occurs and so that all circles touch one another.
A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon.
In geometry, Conway polyhedron notation, invented by John Horton Conway and promoted by George W. Hart, is used to describe polyhedra based on a seed polyhedron modified by various prefix operations.
Euclidean plane tilings by convex regular polygons have been widely used since antiquity.
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.
In geometry, an isosceles triangle is a triangle that has two sides of equal length.
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
In geometry, a kissing number is defined as the number of non-overlapping unit spheres that can be arranged such that they each touch another given unit sphere.
This table shows the 11 convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings.
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, "eight angles") is an eight-sided polygon or 8-gon.
Percolation threshold is a mathematical concept related to percolation theory, which is the formation of long-range connectivity in random systems.
A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides.
In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.
In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle).
In geometry, the Schläfli symbol is a notation of the form that defines regular polytopes and tessellations.
In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane.
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.
The square root of 2, or the (1/2)th power of 2, written in mathematics as or, is the positive algebraic number that, when multiplied by itself, gives the number 2.
In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane.
In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex.
Two-dimensional space or bi-dimensional space is a geometric setting in which two values (called parameters) are required to determine the position of an element (i.e., point).
In geometry, a uniform coloring is a property of a uniform figure (uniform tiling or uniform polyhedron) that is colored to be vertex-transitive.
The Union Jack, or Union Flag, is the national flag of the United Kingdom.
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
In geometry, a vertex figure, broadly speaking, is the figure exposed when a corner of a polyhedron or polytope is sliced off.
Weaving is a method of textile production in which two distinct sets of yarns or threads are interlaced at right angles to form a fabric or cloth.