Isotoxal tilings | Polyhedra

List of isotoxal polyhedra and tilings

In geometry, isotoxal polyhedra and tilings are defined by the property that they have symmetries taking any edge to any other edge. Polyhedra with this property can also be called "edge-transitive", but they should be distinguished from edge-transitive graphs, where the symmetries are combinatorial rather than geometric. Regular polyhedra are isohedral (face-transitive), isogonal (vertex-transitive), and isotoxal (edge-transitive). Quasiregular polyhedra are isogonal and isotoxal, but not isohedral; their duals are isohedral and isotoxal, but not isogonal. The dual of an isotoxal polyhedron is also an isotoxal polyhedron. (See the Dual polyhedron article.) (Wikipedia).

List of isotoxal polyhedra and tilings
Video thumbnail

Isosceles & Equilateral Triangle Properties

I introduce 2 theorems about the properties of Isosceles and Equilateral Triangles. These theorems discuss how the base angles are congruent and that the bisector of the vertex is also a perpendicular bisector of the base. This video includes 2 proofs and 2 algebraic examples. EXAMPLES

From playlist Geometry

Video thumbnail

Isosceles Trapezoids

This geometry video tutorial provides a basic introduction into isosceles trapezoids. It discusses the basic properties of isosceles trapezoids. The bases are parallel and the legs are congruent. The lower base angles are congruent and the upper base angles are congruent. The lower bas

From playlist Geometry Video Playlist

Video thumbnail

What is an isosceles triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

Video thumbnail

Using a set of points determine if the figure is a parallelogram using the midpoint formula

👉 Learn how to determine the figure given four points. A quadrilateral is a polygon with four sides. Some of the types of quadrilaterals are: parallelogram, square, rectangle, rhombus, kite, trapezoid, etc. Each of the types of quadrilateral has its properties. Given four points that repr

From playlist Quadrilaterals on a Coordinate Plane

Video thumbnail

How To Construct An Isosceles Triangle

Complete videos list: http://mathispower4u.yolasite.com/ This video will show how to construct an isosceles triangle with a compass and straight edge.

From playlist Triangles and Congruence

Video thumbnail

Marjorie Wikler Senechal - Unwrapping a Gem - CoM Apr 2021

If the celebrated Scottish zoologist D’Arcy W. Thompson (1860 – 1948) could have met the near-legendary German astronomer Johannes Kepler (1571 – 1630), what would they talk about? Snowflakes, maybe? It is true that both men wrote about their hexagonal shapes. But they both wrote about Arc

From playlist Celebration of Mind 2021

Video thumbnail

What is a line bisector

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

Video thumbnail

Rose Kaplan-Kelly: Right-angled Links in Thickened Surfaces

Rose Kaplan-Kelly, Temple University Title: Right-angled Links in Thickened Surfaces Traditionally, alternating links are studied with alternating diagrams on $S^2$ in $S^3$. In this talk, we will consider links which are alternating on higher genus surfaces $S_g$ in $S_g \times I$. We wil

From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022

Video thumbnail

how to find the measure of x using an isosceles triangle

👉 Learn how to find the missing side of a triangle. A triangle is a polygon with three sides. Triangles are classified on the basis of the angles or on the basis of the sides. The classification of a triangle on the basis of the sides are: scalene, isosceles, and equilateral triangles. A

From playlist Triangles

Video thumbnail

Live CEOing Ep 173: Geometry in Wolfram Language

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Geometry in the Wolfram Language.

From playlist Behind the Scenes in Real-Life Software Design

Video thumbnail

Robert Fathauer - Tessellations: Mathematics, Art, and Recreation - CoM Apr 2021

A tessellation, also known as a tiling, is a collection of shapes (tiles) that fit together without gaps or overlaps. Tessellations are a topic of mathematics research as well as having many practical applications, the most obvious being the tiling of floors and other surfaces. There are n

From playlist Celebration of Mind 2021

Video thumbnail

Amina Buhler - The Magic of Polytopes-Mandalas - CoM July 2021

Polytopes are 3-Dimensional shadows from higher dimensional polyhedra (4-Dimensional & above). These 3-D shadows, when rotated suddenly out of chaos, line-up & reveal, cast mandala patterns into 2-D of 2,3, & 5-fold symmetry. While constructing a stainless steel 120-cell (4-D dodecahed

From playlist Celebration of Mind 2021

Video thumbnail

Remembering John Conway - Part 7

Bay Area Artists and Mathematicians - BAAM! with Gathering 4 Gardner - G4G present Remembering John Conway Mathematician John Horton Conway died of COVID-19 on April 11, 2020. On April 25th, the Bay Area Artists and Mathematicians (BAAM!) hosted an informal Zoom session to share memories

From playlist Tributes & Commemorations

Video thumbnail

Live CEOing Ep 281: Geometry & Graphics Features for WL 12.1

Watch Stephen Wolfram and teams of developers in a live, working, language design meeting. This episode is about Geometry & Graphics Features for WL 12.1.

From playlist Behind the Scenes in Real-Life Software Design

Video thumbnail

Uniform Tilings of The Hyperbolic Plane (Lecture 4) by Subhojoy Gupta

ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi

From playlist Geometry and Topology for Lecturers

Video thumbnail

Eschermatics - Roger Penrose

Oxford Mathematics Public Lectures : Roger Penrose - Eschermatics Roger Penrose's relationship with the artist M.C. Escher was not just one of mutual admiration. Roger's thinking was consistently influenced by Escher, from the famous Penrose tiling to his groundbreaking work in cosmology.

From playlist The Roger Penrose Playlist

Video thumbnail

Jeff Erickson - Lecture 2 - Two-dimensional computational topology - 19/06/18

School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects (http://geomschool2018.univ-mlv.fr/) Jeff Erickson (University of Illinois at Urbana-Champaign, USA) Two-dimensional computational topology - Lecture 2 Abstract: This series of lectures will describe recent

From playlist Jeff Erickson - School on Low-Dimensional Geometry and Topology: Discrete and Algorithmic Aspects

Video thumbnail

What is an equilateral triangle

👉 Learn the essential definitions of triangles. A triangle is a polygon with three sides. Triangles are classified on the basis of their angles or on the basis of their side lengths. The classification of triangles on the bases of their angles are: acute, right and obtuse triangles. The cl

From playlist Types of Triangles and Their Properties

Related pages

Order-4 octagonal tiling | Small triambic icosahedron | Vertex configuration | Platonic solid | Triheptagonal tiling | Rhombic triacontahedron | Great dodecahemidodecacron | Great dodecahemicosacron | Trioctagonal tiling | Ditrigonal dodecadodecahedron | Order-4 pentagonal tiling | Small stellated dodecahedron | Small icosihemidodecahedron | Vertex figure | Hexahemioctacron | Octahemioctacron | Tetrahemihexahedron | Great ditrigonal icosidodecahedron | Great icosihemidodecacron | Order-4 hexagonal tiling | Small dodecahemidodecahedron | Tetrahemihexacron | Great icosahedron | Tetrapentagonal tiling | Tessellation | Tetrahexagonal tiling | Great icosihemidodecahedron | Hosohedron | Great stellated dodecahedron | Small dodecahemicosacron | Isotoxal figure | Octahemioctahedron | Order-6 square tiling | Rhombic dodecahedron | Wythoff symbol | Cube | Order-8 triangular tiling | Square tiling | Medial triambic icosahedron | Great dodecahedron | Great triambic icosahedron | Heptagonal tiling | Rhombille tiling | Small ditrigonal icosidodecahedron | Great rhombic triacontahedron | Small dodecahemidodecacron | Order-8 square tiling | Great dodecahemidodecahedron | Quasiregular polyhedron | Small icosihemidodecacron | Cubohemioctahedron | Kepler–Poinsot polyhedron | Geometry | Octagonal tiling | Order-5 square tiling | Dual polyhedron | Dihedron | Medial rhombic triacontahedron | Edge-transitive graph | Order-5 pentagonal tiling | Order-7 triangular tiling