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Spirolateral, the Glossary

In Euclidean geometry, a spirolateral is a polygon created by a sequence of fixed vertex internal angles and sequential edge lengths 1,2,3,...,n which repeat until the figure closes.^[1]

38 relations: Archimedean spiral, Decagon, Decagram (geometry), Density (polytope), Divisor, Dodecagon, Enneagram (geometry), Equiangular polygon, Equilateral triangle, Euclidean geometry, Golygon, Graph paper, Greatest common divisor, Hendecagon, Hendecagram, Heptagon, Heptagram, Hexagon, Icositetragon, Internal and external angles, Isogonal figure, Martin Gardner, Multiple (mathematics), Nonagon, Octagon, Octagram, Pentagon, Pentagram, Polygon, Rational number, Rectangle, Regular polygon, Simple polygon, Special case, Square, Star polygon, Turn (angle), Turtle graphics.
Types of polygons

Archimedean spiral

The Archimedean spiral (also known as Archimedes' spiral, the arithmetic spiral) is a spiral named after the 3rd-century BC Greek mathematician Archimedes.

See Spirolateral and Archimedean spiral

Decagon

In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, "ten angles") is a ten-sided polygon or 10-gon.

See Spirolateral and Decagon

Decagram (geometry)

In geometry, a decagram is a 10-point star polygon.

See Spirolateral and Decagram (geometry)

In geometry, the density of a star polyhedron is a generalization of the concept of winding number from two dimensions to higher dimensions, representing the number of windings of the polyhedron around the center of symmetry of the polyhedron.

See Spirolateral and Density (polytope)

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 Spirolateral and Divisor

Dodecagon

In geometry, a dodecagon, or 12-gon, is any twelve-sided polygon.

See Spirolateral and Dodecagon

Enneagram (geometry)

In geometry, an enneagram (🟙 U+1F7D9) is a nine-pointed plane figure.

See Spirolateral and Enneagram (geometry)

Equiangular polygon

In Euclidean geometry, an equiangular polygon is a polygon whose vertex angles are equal. Spirolateral and equiangular polygon are types of polygons.

See Spirolateral and Equiangular polygon

Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides have the same length.

See Spirolateral and Equilateral triangle

Euclidean geometry

Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements.

See Spirolateral and Euclidean geometry

Golygon

A golygon, or more generally a serial isogon of 90°, is any polygon with all right angles (a rectilinear polygon) whose sides are consecutive integer lengths. Spirolateral and golygon are types of polygons.

See Spirolateral and Golygon

Graph paper

Graph paper, coordinate paper, grid paper, or squared paper is writing paper that is printed with fine lines making up a regular grid.

See Spirolateral and Graph paper

Greatest common divisor

In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

See Spirolateral and Greatest common divisor

Hendecagon

In geometry, a hendecagon (also undecagon or endecagon) or 11-gon is an eleven-sided polygon.

See Spirolateral and Hendecagon

Hendecagram

In geometry, a hendecagram (also endecagram or endekagram) is a star polygon that has eleven vertices.

See Spirolateral and Hendecagram

Heptagon

In geometry, a heptagon or septagon is a seven-sided polygon or 7-gon.

See Spirolateral and Heptagon

Heptagram

A heptagram, septagram, septegram or septogram is a seven-point star drawn with seven straight strokes.

See Spirolateral and Heptagram

Hexagon

In geometry, a hexagon (from Greek ἕξ, hex, meaning "six", and γωνία, gonía, meaning "corner, angle") is a six-sided polygon.

See Spirolateral and Hexagon

Icositetragon

In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon.

See Spirolateral and Icositetragon

Internal and external angles

In geometry, an angle of a polygon is formed by two adjacent sides.

See Spirolateral and Internal and external angles

Isogonal figure

In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries of the figure.

See Spirolateral and Isogonal figure

Martin Gardner

Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing magic, scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writings of Lewis Carroll, L. Frank Baum, and G. K. Chesterton.

See Spirolateral and Martin Gardner

Multiple (mathematics)

In mathematics, a multiple is the product of any quantity and an integer.

See Spirolateral and Multiple (mathematics)

Nonagon

In geometry, a nonagon or enneagon is a nine-sided polygon or 9-gon.

See Spirolateral and Nonagon

Octagon

In geometry, an octagon is an eight-sided polygon or 8-gon.

See Spirolateral and Octagon

Octagram

In geometry, an octagram is an eight-angled star polygon.

See Spirolateral and Octagram

Pentagon

In geometry, a pentagon is any five-sided polygon or 5-gon.

See Spirolateral and Pentagon

Pentagram

A pentagram (sometimes known as a pentalpha, pentangle, or star pentagon) is a regular five-pointed star polygon, formed from the diagonal line segments of a convex (or simple, or non-self-intersecting) regular pentagon.

See Spirolateral and Pentagram

Polygon

In geometry, a polygon is a plane figure made up of line segments connected to form a closed polygonal chain.

See Spirolateral and Polygon

Rational number

In mathematics, a rational number is a number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

See Spirolateral and Rational number

Rectangle

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles.

See Spirolateral and Rectangle

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). Spirolateral and regular polygon are types of polygons.

See Spirolateral and Regular polygon

Simple polygon

In geometry, a simple polygon is a polygon that does not intersect itself and has no holes. Spirolateral and simple polygon are types of polygons.

See Spirolateral and Simple polygon

Special case

In logic, especially as applied in mathematics, concept is a special case or specialization of concept precisely if every instance of is also an instance of but not vice versa, or equivalently, if is a generalization of.

See Spirolateral and Special case

Square

In Euclidean geometry, a square is a regular quadrilateral, which means that it has four sides of equal length and four equal angles (90-degree angles, π/2 radian angles, or right angles).

See Spirolateral and Square

Star polygon

In geometry, a star polygon is a type of non-convex polygon.

See Spirolateral and Star polygon

Turn (angle)

The turn (symbol tr or pla) is a unit of plane angle measurement that is the angular measure subtended by a complete circle at its center.

See Spirolateral and Turn (angle)

Turtle graphics

In computer graphics, turtle graphics are vector graphics using a relative cursor (the "turtle") upon a Cartesian plane (x and y axis).

See Spirolateral and Turtle graphics

References

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

Spirolateral, the Glossary

Table of Contents

See also

Types of polygons

References