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Triacontagon, the Glossary

In geometry, a triacontagon or 30-gon is a thirty-sided polygon.^[1]

37 relations: Area, Bisection, Branko Grünbaum, Circumcircle, Constructible polygon, Coxeter element, Cyclic group, Dihedral group, Directed graph, Equilateral triangle, Geometry, Grand 600-cell, Great grand stellated 120-cell, Harold Scott MacDonald Coxeter, Hypercube, Incircle and excircles, Internal and external angles, Isogonal figure, John Horton Conway, Pentadecagon, Pentagon, Petrie polygon, Polygon, Projection (linear algebra), Regular polygon, Schläfli symbol, Star polygon, Straightedge and compass construction, Truncation (geometry), Vertex configuration, Zonogon, 1 42 polytope, 120-cell, 2 41 polytope, 4 21 polytope, 5040 (number), 600-cell.
Constructible polygons
Polygons by the number of sides

Area

Area is the measure of a region's size on a surface.

See Triacontagon and Area

Bisection

In geometry, bisection is the division of something into two equal or congruent parts (having the same shape and size).

See Triacontagon and Bisection

Branko Grünbaum

Branko Grünbaum (ברנקו גרונבאום; 2 October 1929 – 14 September 2018) was a Croatian-born mathematician of Jewish descent, Hrvatska enciklopedija LZMK.

See Triacontagon and Branko Grünbaum

Circumcircle

In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices.

See Triacontagon and Circumcircle

Constructible polygon

In mathematics, a constructible polygon is a regular polygon that can be constructed with compass and straightedge. Triacontagon and constructible polygon are constructible polygons.

See Triacontagon and Constructible polygon

Coxeter element

In mathematics, a Coxeter element is an element of an irreducible Coxeter group which is a product of all simple reflections.

See Triacontagon and Coxeter element

In abstract algebra, a cyclic group or monogenous group is a group, denoted Cn (also frequently \Zn or Zn, not to be confused with the commutative ring of p-adic numbers), that is generated by a single element.

See Triacontagon and Cyclic group

Dihedral group

In mathematics, a dihedral group is the group of symmetries of a regular polygon, which includes rotations and reflections.

See Triacontagon and Dihedral group

Directed graph

In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is made up of a set of vertices connected by directed edges, often called arcs.

See Triacontagon and Directed graph

Equilateral triangle

In geometry, an equilateral triangle is a triangle in which all three sides have the same length. Triacontagon and equilateral triangle are constructible polygons.

See Triacontagon and Equilateral triangle

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Triacontagon and Geometry

Grand 600-cell

In geometry, the grand 600-cell or grand polytetrahedron is a regular star 4-polytope with Schläfli symbol.

See Triacontagon and Grand 600-cell

Great grand stellated 120-cell

In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol, one of 10 regular Schläfli-Hess 4-polytopes.

See Triacontagon and Great grand stellated 120-cell

Harold Scott MacDonald Coxeter

Harold Scott MacDonald "Donald" Coxeter (9 February 1907 – 31 March 2003) was a British-Canadian geometer and mathematician.

See Triacontagon and Harold Scott MacDonald Coxeter

Hypercube

In geometry, a hypercube is an ''n''-dimensional analogue of a square and a cube.

See Triacontagon and Hypercube

Incircle and excircles

In geometry, the incircle or inscribed circle of a triangle is the largest circle that can be contained in the triangle; it touches (is tangent to) the three sides.

See Triacontagon and Incircle and excircles

Internal and external angles

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

See Triacontagon 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 Triacontagon and Isogonal figure

John Horton Conway

John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.

See Triacontagon and John Horton Conway

Pentadecagon

In geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon. Triacontagon and pentadecagon are constructible polygons and polygons by the number of sides.

See Triacontagon and Pentadecagon

Pentagon

In geometry, a pentagon is any five-sided polygon or 5-gon. Triacontagon and pentagon are constructible polygons and polygons by the number of sides.

See Triacontagon and Pentagon

Petrie polygon

In geometry, a Petrie polygon for a regular polytope of dimensions is a skew polygon in which every consecutive sides (but no) belongs to one of the facets.

See Triacontagon and Petrie polygon

Polygon

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

See Triacontagon and Polygon

Projection (linear algebra)

In linear algebra and functional analysis, a projection is a linear transformation P from a vector space to itself (an endomorphism) such that P\circ P.

See Triacontagon and Projection (linear algebra)

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).

See Triacontagon and Regular polygon

Schläfli symbol

In geometry, the Schläfli symbol is a notation of the form \ that defines regular polytopes and tessellations.

See Triacontagon and Schläfli symbol

Star polygon

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

See Triacontagon and Star polygon

Straightedge and compass construction

In geometry, straightedge-and-compass construction – also known as ruler-and-compass construction, Euclidean construction, or classical construction – is the construction of lengths, angles, and other geometric figures using only an idealized ruler and a pair of compasses.

See Triacontagon and Straightedge and compass construction

References

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

Also known as 30 symmetry, 30-gon, Triacontagram, Tricontagon.

Triacontagon, the Glossary

Table of Contents

See also

Constructible polygons

Polygons by the number of sides

References