en.unionpedia.org

Reinhardt polygon, the Glossary

In geometry, a Reinhardt polygon is an equilateral polygon inscribed in a Reuleaux polygon.^[1]

23 relations: Big O notation, Biggest little polygon, Convex hull, Curve of constant width, Diameter, Divisor, Equilateral polygon, Geometriae Dedicata, Isosceles triangle, Journal of Combinatorial Theory, Karl Reinhardt (mathematician), Natural number, Parity (mathematics), Perimeter, Polite number, Power of two, Prime number, Prime power, Regular polygon, Reuleaux polygon, Reuleaux triangle, Semiprime, Supporting line.
Types of polygons

Big O notation

Big O notation is a mathematical notation that describes the limiting behavior of a function when the argument tends towards a particular value or infinity.

See Reinhardt polygon and Big O notation

In geometry, the biggest little polygon for a number n is the n-sided polygon that has diameter one (that is, every two of its points are within unit distance of each other) and that has the largest area among all diameter-one n-gons. Reinhardt polygon and biggest little polygon are Types of polygons.

See Reinhardt polygon and Biggest little polygon

Convex hull

In geometry, the convex hull, convex envelope or convex closure of a shape is the smallest convex set that contains it.

See Reinhardt polygon and Convex hull

Curve of constant width

In geometry, a curve of constant width is a simple closed curve in the plane whose width (the distance between parallel supporting lines) is the same in all directions.

See Reinhardt polygon and Curve of constant width

Diameter

In geometry, a diameter of a circle is any straight line segment that passes through the centre of the circle and whose endpoints lie on the circle.

See Reinhardt polygon and Diameter

Divisor

In mathematics, a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n. In this case, one also says that n is a multiple of m. An integer n is divisible or evenly divisible by another integer m if m is a divisor of n; this implies dividing n by m leaves no remainder.

See Reinhardt polygon and Divisor

Equilateral polygon

In geometry, an equilateral polygon is a polygon which has all sides of the same length. Reinhardt polygon and equilateral polygon are Types of polygons.

See Reinhardt polygon and Equilateral polygon

Geometriae Dedicata

Geometriae Dedicata is a mathematical journal, founded in 1972, concentrating on geometry and its relationship to topology, group theory and the theory of dynamical systems.

See Reinhardt polygon and Geometriae Dedicata

Isosceles triangle

In geometry, an isosceles triangle is a triangle that has two sides of equal length.

See Reinhardt polygon and Isosceles triangle

Journal of Combinatorial Theory

The Journal of Combinatorial Theory, Series A and Series B, are mathematical journals specializing in combinatorics and related areas.

See Reinhardt polygon and Journal of Combinatorial Theory

Karl Reinhardt (mathematician)

Karl August Reinhardt (27 January 1895 – 27 April 1941) was a German mathematician whose research concerned geometry, including polygons and tessellations.

See Reinhardt polygon and Karl Reinhardt (mathematician)

Natural number

In mathematics, the natural numbers are the numbers 0, 1, 2, 3, etc., possibly excluding 0.

See Reinhardt polygon and Natural number

Parity (mathematics)

In mathematics, parity is the property of an integer of whether it is even or odd.

See Reinhardt polygon and Parity (mathematics)

Perimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

See Reinhardt polygon and Perimeter

Polite number

In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers.

See Reinhardt polygon and Polite number

Power of two

A power of two is a number of the form where is an integer, that is, the result of exponentiation with number two as the base and integer as the exponent.

See Reinhardt polygon and Power of two

Prime number

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers.

See Reinhardt polygon and Prime number

Prime power

In mathematics, a prime power is a positive integer which is a positive integer power of a single prime number.

See Reinhardt polygon and Prime power

Regular polygon

In Euclidean geometry, a regular polygon is a polygon that is direct equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Reinhardt polygon and regular polygon are Types of polygons.

See Reinhardt polygon and Regular polygon

Reuleaux polygon

In geometry, a Reuleaux polygon is a curve of constant width made up of circular arcs of constant radius.

See Reinhardt polygon and Reuleaux polygon

Reuleaux triangle

A Reuleaux triangle is a curved triangle with constant width, the simplest and best known curve of constant width other than the circle.

See Reinhardt polygon and Reuleaux triangle

Semiprime

In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers.

See Reinhardt polygon and Semiprime

Supporting line

In geometry, a supporting line L of a curve C in the plane is a line that contains a point of C, but does not separate any two points of C."The geometry of geodesics", Herbert Busemann, In other words, C lies completely in one of the two closed half-planes defined by L and has at least one point on L.

See Reinhardt polygon and Supporting line

References

[1] https://en.wikipedia.org/wiki/Reinhardt_polygon