Polyhedral compounds

Compound of twelve pentagonal antiprisms with rotational freedom

This uniform polyhedron compound is a symmetric arrangement of 12 pentagonal antiprisms. It can be constructed by inscribing one pair of pentagonal antiprisms within an icosahedron, in each of the six possible ways, and then rotating each by an equal and opposite angle θ. When θ is 36 degrees, the antiprisms coincide in pairs to yield (two superimposed copies of) the compound of six pentagonal antiprisms (without rotational freedom). This compound shares its vertices with the compound of twelve pentagrammic crossed antiprisms with rotational freedom. (Wikipedia).

Compound of twelve pentagonal antiprisms with rotational freedom
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Perfect Shapes in Higher Dimensions - Numberphile

Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions. More links & stuff in full description below ↓↓↓ Extra footage (Hypernom): https://youtu.be/unC0Y3kv0Yk More videos with with Carlo: http://bit.ly/carlo_videos Edit and animation by Pete McPartlan Pete

From playlist Carlo Séquin on Numberphile

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To construct a PENTAGON with ruler (straightedge) and compass

Geometrical construction of a pentagon with Euclidean Tools Follow me: http://www.twitter.com/dantecardoso

From playlist Math

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How to determine the perimeter of a quadrilateral using distance formula of four points

👉 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

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Chemistry 107. Inorganic Chemistry. Lecture 22.

UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 22. Inorganic Chemistry -- Coordination Chemistry I: Coordination Geometries View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Alan F. Heyduk. License: Creative Commons CC-BY-SA Terms of Us

From playlist Chem 107: Week 8

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Physics 11.5 Rotational Motion - Graphical Solution (1 of 9) Introduction 1

Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce and explain angular distance, angular velocity, and angular acceleration and their associated equations. Next video can be seen at: https://youtu.be/ibUpxpDr1hI

From playlist PHYSICS 11 ROTATIONAL MOTION

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Determine if a set of points makes up a rectangle using the distance 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

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Physics 11 Rotational Motion (1 of 6) Angular Velocity and Angular acceleration

Visit http://ilectureonline.com for more math and science lectures! In this video I will develop the three basic angular rotational equations and show their equivalence to the linear motions equations.

From playlist MOST POPULAR VIDEOS

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STAAR 8th Grade Math Test May 2022 (questions 1 - 42)

In this video I go through the STAAR 8th Grade Math Test May 2022 (questions 1-42). I show a combination of algebraic and calculator techniques to go through all 42 questions. Some of the concepts covered in this video include: finding slope between two points, writing the equation of a

From playlist 8th Grade Math

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Imaginary interest rates | Ep. 5 Lockdown live math

Compound interest, e, and how it relates to circles. Full playlist: https://www.youtube.com/playlist?list=PLZHQObOWTQDP5CVelJJ1bNDouqrAhVPev Home page: https://www.3blue1brown.com Brought to you by you: https://3b1b.co/ldm-thanks Great Mathologer video: https://youtu.be/-dhHrg-KbJ0 Beaut

From playlist Lockdown math

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Chemistry 107. Inorganic Chemistry. Lecture 05

UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 05. Inorganic Chemistry -- A Second Application of Symmetry View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Matthew D. Law License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.

From playlist Chem 107: Week 2

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Forbidden Crystal Symmetry - Roger Penrose

Oxford Mathematics Public Lectures: Roger Penrose - Forbidden Crystal Symmetry: Mathematics and architecture World-renowned mathematician Sir Roger Penrose, Oxford University, describes how crystalline symmetries are necessarily 2-fold, 3-fold, 4-fold, or 6-fold.

From playlist The Roger Penrose Playlist

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Determining if a set of points makes a parallelogram or not

👉 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

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A 100 YEAR OLD PROBLEM AND ITS 15 SOLUTIONS: Pentagons and Tiling | ND

Today we look at a 100+ year old problem and its 15 solutions. The 100 year old math problem being the convex monohedral pentagonal tiling problem the only open case of the convex monohedral tiling problem. Pentagons have been a point of interest in the study of tiling for a while due to t

From playlist The New CHALKboard

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Molecular dynamics with pentagonal symmetry, a representation with atomic bonds

Like the simulation https://youtu.be/absx0JHkUn8 this video shows the motion of particles coupled to a thermostat, and interacting with an anisotropic Lennard-Jones type potential with pentagonal symmetry. Here the lattice is visualized by drawing line segments between particles that are c

From playlist Molecular dynamics

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GCSE Maths June 2023 Paper 2 Calculator - Predicted Questions [AQA / EDEXCEL / OCR / WJEC]

Revising for June 2023 GCSE Maths? This predicted paper covers all the key cross-over topics and makes great revision for both foundation and higher tier students aiming to achieve a good pass in the non-calculator paper. All these topics appear on AQA, EDEXCEL, OCR and WJEC papers, and s

From playlist All Videos from Mr Tompkins Ed Tech

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A mixture of pentagons and lozenges interacting with Lennard-Jones type potentials

This new molecular dynamics simulation features 1305 particles of two different types, interacting with two different variants of Lennard-Jones potentials that are not rotation symmetric. Two thirds of the particles are pentagons, and create a force field with pentagonal symmetry. The rema

From playlist Molecular dynamics

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How to determine if a set of points makes up a rectangle using the distance 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

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Toy Models - Tadashi Tokieda

Would you like to see some toys? 'Toys' here have a special sense: objects of daily life which you can find or make in minutes, yet which, if played with imaginatively, reveal surprises that keep scientists puzzling for a while. We will see table-top demos of many such toys and visit some

From playlist Mathematics Research Center

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The Whole of GCSE Maths in 2 hours - Higher & Foundation tier - EDEXCEL / AQA / OCR / WJEC

Revising for GCSE Maths mocks, November Resits or June final exams? This video is a great place to start! I'll show you example exam questions from each of the most important topics you need to know for your exams. This video is specifically aimed at foundation and higher tier students

From playlist All Videos from Mr Tompkins Ed Tech

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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

Related pages

Pentagonal antiprism | Icosahedral symmetry | Icosahedron | Subgroup | Symmetry group | Uniform polyhedron compound | Golden ratio