Rotational symmetry | Finite groups
A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection and a rotation. The group of all (not necessarily orientation preserving) symmetries is isomorphic to the group S4, the symmetric group of permutations of four objects, since there is exactly one such symmetry for each permutation of the vertices of the tetrahedron. The set of orientation-preserving symmetries forms a group referred to as the alternating subgroup A4 of S4. (Wikipedia).
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
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
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
http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Canonical structures inside the Platonic solids I | Universal Hyperbolic Geometry 49 | NJ Wildberger
Each of the Platonic solids contains somewhat surprising addition structures that shed light on the symmetries of the object. Here we look at the tetrahedron, and investigate a remarkable three-fold symmetry which is contained inside the obvious four-fold symmetry of the object. We connect
From playlist Universal Hyperbolic Geometry
Mod-02 Lec-04 Crystal Structure (Contd.)
Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science
Mod-02 Lec-03 Crystal Structure
Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science
Mod-02 Lec-05 Crystal Structure (Contd. )
Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science
Chemistry 51A: Organic Chemistry. Lecture 16
UCI Chem 51A Organic Chemistry (Fall 2014) Lec 16. Organic Chemistry -- Stereochemistry View the complete course: http://ocw.uci.edu/courses/chem_51a_organic_chemistry.html Instructor: Susan King, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info. More course
From playlist Chem 51A: Week 6
This is joint work with Saul Schleimer. Order from Shapeways: http://shpws.me/MCng, http://shpws.me/MCnf Download from Thingiverse: http://www.thingiverse.com/thing:1739545
From playlist 3D printing
Chemistry - Molecular Structure (4 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
Chemistry 107. Inorganic Chemistry. Lecture 02
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 02. Inorganic Chemistry -- Symmetry and Point Groups 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.edu/inf
From playlist Chem 107: Week 1
This video was produced by Nina Qiu of Year 10 (2015).
From playlist Random
Electron Geometry, Molecular Geometry & Polarity
In this live tutoring session I focused on electron geometry, molecular geometry & polarity. Enjoy! 📗 FREE CHEMISTRY SURVIVAL GUIDE https://melissa.help/freechemguide 👉 SHOP MY CHEMISTRY RESOURCES 👈 https://melissamaribel.com/ -Naming Compounds Flashcards https://melissa.help/namingflas
From playlist Live Chemistry Tutoring
The geometry of the regular tetrahedron | Universal Hyperbolic Geometry 45 | NJ Wildberger
We look at the geometry of the regular tetrahedron, from the point of view of rational trigonometry. In particular we re-evaluate an important angle for chemists formed by the bonds in a methane molecule, and obtain an interesting rational spread instead. Video Content: 00:00 Introduction
From playlist Universal Hyperbolic Geometry
Thanks to John and Jane Kosticks (http://www.kosticks.com) for telling me about the geometry this is based on. Five racks, each with two beams, slide through each other. In Thurston-Conway orbifold notation, this has symmetry type 5x. Available at http://shpws.me/QGcX.
From playlist 3D printing
Mod-15 Lec-36 Magnetic Ceramics (Contd. )
Advanced ceramics for strategic applications by Prof. H.S. Maiti,Department of Metallurgy and Material Science,IIT Kharagpur.For more details on NPTEL visit http://nptel.ac.in
From playlist IIT Kharagpur: Advanced Ceramics for Strategic Applications | CosmoLearning.org Materials Science
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
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