This uniform polyhedron compound is a composition of 5 great dodecahedra, in the same arrangement as in the compound of 5 icosahedra. It is one of only five polyhedral compounds (along with the compound of six tetrahedra, the compound of two great dodecahedra, the compound of two small stellated dodecahedra, and the compound of five small stellated dodecahedra) which is vertex-transitive and face-transitive but not edge-transitive. (Wikipedia).
How to Construct a Dodecahedron
How the greeks constructed the Dodecahedron. Euclids Elements Book 13, Proposition 17. In geometry, a dodecahedron is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron with regular pentagons as faces, which is a Platonic solid. A regular dode
From playlist Platonic Solids
Geometry - Ch. 1: Basic Concepts (26 of 49) Congruent Sides and Congruent Angles: Ex.
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how to identify quadrilaterals, triangles that are equilateral triangles, quadrilaterals that are also a square by by observing the angles, sides, and their congruences of the figures. Next v
From playlist GEOMETRY CH 1 BASIC CONCEPTS
Geometry - Basic Terminology (13 of 34) What Makes Triangles Congruent?
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and give examples of congruent triangles: SSS, SAS, ASA, and AAS. Next video in the Basic Terminology series can be seen at: https://youtu.be/YJDcHhf2Asg
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
How to construct an Octahedron
How the greeks constructed the 2nd platonic solid: the regular octahedron Source: Euclids Elements Book 13, Proposition 14. In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Plat
From playlist Platonic Solids
"Illustrating Geometry" exhibition at SCGP, Artist's talk: "Sculpture in four-dimensions"
Slides: http://www.math.okstate.edu/~segerman/talks/sculpture_in_4-dimensions.pdf This video is also available at the Simons Center website, at http://scgp.stonybrook.edu/archives/11540 Thanks to Josh Klein for filming and editing.
From playlist 3D printing
2014 Hari Shankar Memorial lecture: "How to make sculptures of 4-dimensional things"
The Hari Shankar Memorial Lecture is an annual public lecture held at the University of Northern Iowa. Slides: https://www.math.okstate.edu/~segerman/talks/how_to_make_sculptures_of_4d_things.pdf
From playlist 3D printing
Henry Segerman - 3D Shadows: Casting Light on the Fourth Dimension - 02/11/17
Henry Segerman "3D Shadows: Casting Light on the Fourth Dimension" February 11, 2017 Wesier Hall Ann Arbor, Michigan
From playlist 3D printing
In this veideo we continue our look in to the dihedral groups, specifically, the dihedral group with six elements. We note that two of the permutation in the group are special in that they commute with all the other elements in the group. In the next video I'll show you that these two el
From playlist Abstract algebra
Rhombofoam in Zome – Scott Vorthmann
Rhombofoam is a pattern that fills 3D space in all the ways that a golden rhombohedron does, while forming dodecahedral and 16-sided cells that have the topology of foam: three cells around each edge, and four around each vertex. The result is a foam model that has the symmetries of a quas
From playlist G4G12 Videos
This shows a 3d print of a puzzle I produced using shapeways.com. This is joint work with Saul Schleimer. This is available at http://shpws.me/lmxi. A larger version of the puzzle is available at http://shpws.me/lmxi.
From playlist 3D printing
This shows two 3d prints of mathematical sculptures I produced using shapeways.com. These are joint work with Saul Schleimer. These models are available at http://shpws.me/bGjW and http://shpws.me/bGko
From playlist 3D printing
MOVES 2013 talk: "Puzzling the 120-cell"
This is a talk I gave at the MOVES conference on recreational mathematics (moves.momath.org), on 28th July 2013, about my work with Saul Schleimer making a family of burr puzzles we call "Quintessence". The slides are a little difficult to see on the video, but you can download them at htt
From playlist Talks
How to construct a Tetrahedron
How the greeks constructed the first platonic solid: the regular tetrahedron. Source: Euclids Elements Book 13, Proposition 13. In geometry, a tetrahedron also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. Th
From playlist Platonic Solids
Greatest Binomial Coefficient (4 of 5: Expressing a useful ratio)
More resources available at www.misterwootube.com
From playlist Working with Combinatorics
Determining if a set of points is a rhombus, square or rectangle
👉 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
Ex: Determine the GCF of Two Monomials (Two Variables)
This video explains how to determine the greatest common factor of two monomials.
From playlist Determining the Greatest Common Factor and Factoring by Grouping
This shows a 3d print of a puzzle I produced using shapeways.com. This is joint work with Saul Schleimer. This is available at http://shpws.me/nKrU.
From playlist 3D printing
Ex: Determine the GCF of Two Monomials (One Variables)
This video explains how to determine the greatest common factor of two monomials.
From playlist Determining the Greatest Common Factor and Factoring by Grouping
These sculptures are joint work with Roice Nelson. They are available from shapeways.com at http://shpws.me/oNgi, http://shpws.me/oqOx and http://shpws.me/orB8.
From playlist 3D printing
