The compound of five truncated tetrahedra is a uniform polyhedron compound. It's composed of 5 truncated tetrahedra rotated around a common axis. It may be formed by truncating each of the tetrahedra in the compound of five tetrahedra. A far-enough truncation creates the compound of five octahedra. Its convex hull is a nonuniform snub dodecahedron. (Wikipedia).
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
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q0PF.
From playlist 3D printing
Cardboard Tetrahedron Pyramid Perfect Circle Solar How to make a pyramid out of cardboard
How to make a pyramid out of cardboard. A tetrahedron is a polyhedron composed of four triangular faces, three of which meet at each vertex.
From playlist HOME OF GREENPOWERSCIENCE SOLAR DIY PROJECTS
Chemistry - Molecular Structure (4.5 of 45) Basic Shapes - Tetrahedral Molecules
Visit http://ilectureonline.com for more math and science lectures! In this video I will introduce the basic tetrahedral molecules of the molecular structure.
From playlist CHEMISTRY 14 MOLECULAR STRUCTURE
Three space-filling shapes hiding in the structure of diamond
Diamond is an arrangement of carbon atoms called the diamond cubic structure. As well as the cubes there are two other space-filling shapes that are found within it. In the unit cell I say "three more inside". It should of course be "four more inside". https://en.wikipedia.org/wiki/Diamo
From playlist Geometry
Unique way to divide a tetrahedron in half
This is an interesting geometry volume problem using tetrahedrons. We use the volume of a tetrahedron and Cavalieri's principle in 3D.
From playlist Platonic Solids
Quantum spin liquids in pyrochlore magnets: a functional renormalization group by Yasir Iqbal
DISCUSSION MEETING NOVEL PHASES OF QUANTUM MATTER ORGANIZERS: Adhip Agarwala, Sumilan Banerjee, Subhro Bhattacharjee, Abhishodh Prakash and Smitha Vishveshwara DATE: 23 December 2019 to 02 January 2020 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Recent theoretical and experimental
From playlist Novel Phases of Quantum Matter 2019
How Many Faces, Edges And Vertices Does A Triangular Pyramid Have?
How Many Faces, Edges And Vertices Does A Triangular Pyramid Have? Here we’ll look at how to work out the faces, edges and vertices of a triangular pyramid. We’ll start by counting the faces, these are the flat surfaces that make the 3D shape. A triangular pyramid has 4 faces altogether
From playlist Faces, edges and Vertices of 3D shapes
Jessica Purcell: Structure of hyperbolic manifolds - Lecture 1
Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions
From playlist Topology
Joint work with Rick Rubenstein. Available from Shapeways at http://shpws.me/r1iO
From playlist 3D printing
How Many Faces, Edges And Vertices Does A Triangular Prism Have?
How Many Faces, Edges And Vertices Does A Triangular Prism Have? Here we’ll look at how to work out the faces, edges and vertices of a triangular prism. We’ll start by counting the faces, these are the flat surfaces that make the shape. A triangular prism has 5 faces altogether - 2 tria
From playlist Faces, edges and Vertices of 3D shapes
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
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
How Do You Build 4D Worlds? - 4D Golf Devlog #3
Modeling 4D objects and drawing them to the screen is obviously one of the hardest problems with making a 4D game. In this Devlog, I go into the implementation detail of how I achieved this in my project and some of the amazing algorithms that got me there. Wishlist 4D Golf on Steam: htt
From playlist 4D Golf
Platonic and Archimedean solids
Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV
From playlist 3D printing
The mathematics underlying a geometric puzzle/sculpture. The plastic version shown at the end of the video is not yet commercially available.
From playlist Other Geometric Sculpture
Unified Theory of the Spiral Spin-liquids on Layered Honeycomb, Diamond... by Karlo Penc
PROGRAM FRUSTRATED METALS AND INSULATORS (HYBRID) ORGANIZERS Federico Becca (University of Trieste, Italy), Subhro Bhattacharjee (ICTS-TIFR, India), Yasir Iqbal (IIT Madras, India), Bella Lake (Helmholtz-Zentrum Berlin für Materialien und Energie, Germany), Yogesh Singh (IISER Mohali, In
From playlist FRUSTRATED METALS AND INSULATORS (HYBRID, 2022)
Chemistry - Molecular Structure (9 of 45) Basic Shapes-Trigonal Bipyramidal w/ Free Electron Pairs
The ERROR-FREE video (9.5 of 45) can be viewed at: https://www.youtube.com/watch?v=QHcBxOPyF4A Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the trigonal bipyramidal with free electron pair(s).
From playlist CHEMISTRY 14 MOLECULAR STRUCTURE
Jessica Purcell: Structure of hyperbolic manifolds - Lecture 3
Abstract: In these lectures, we will review what it means for a 3-manifold to have a hyperbolic structure, and give tools to show that a manifold is hyperbolic. We will also discuss how to decompose examples of 3-manifolds, such as knot complements, into simpler pieces. We give conditions
From playlist Topology