A centered tetrahedral number is a centered figurate number that represents a tetrahedron. The centered tetrahedral number for a specific n is given by The first such numbers are 1, 5, 15, 35, 69, 121, 195, 295, 425, 589, 791, ... (sequence in the OEIS). (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
Canonical structures inside the Platonic solids III | Universal Hyperbolic Geometry 51
The dodecahedron is surely one of the truly great mathematical objects---revered by the ancient Greeks, Kepler, and many mathematicians since. Its symmetries are particularly rich, and in this video we look at how to see the five-fold and six-fold symmetries of this object via internal str
From playlist Universal Hyperbolic Geometry
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
What are the trigonometric definitions of a right triangle
👉 Learn all about the trigonometry of right triangles. A right triangle is a triangle that has 90 degrees as one of its angles. The trigonometric identities of right triangles give us the relationship between the angles of a right triangle and the side lengths of the right triangle. These
From playlist Right Triangle Trigonometry | Learn About
Geometry - Basic Terminology (30 of 34) Using Inscribed Angles to Find the Angle
Visit http://ilectureonline.com for more math and science lectures! In this video I will find the angles (inside a circle) using the inscribed angle formula. Next video in the Basic Terminology series can be seen at: http://youtu.be/L2L-WoL7fo4
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
PreCalculus - Trigonometry: The Right Triangle (1 of 26) Angle In Radians
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the right triangle and the relationship between degrees and radians.
From playlist Michel van Biezen: Pre-Calculus 6-9 - Trigonometry Review
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-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-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
Algebra 2 11.04b - A Right Triangle on the Unit Circle
A point on the unit circle corresponds to a right triangle which can be drawn inside the circle, and a discussion of ways to think about the lengths of the sides. From the trigonometry lessons in the Algebra 2 course by Derek Owens. More info about the course may be found at http://www.D
From playlist Algebra 2, Chapter 11: Trigonometry
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
The Simplifying Synthesis Ultimate Guide To Bonding In d-Metal Coordination Complexes
An (almost) complete inorganic chemistry guide to the bonding in d-metal coordination complexes. Section 1 describes the basic structure of inorganic metal complexes, ligand-metal interactions and isomerism, Section 2 deals with Crystal Field Theory, Ligand Field Stabilization Energy, Mag
From playlist Ultimate Guides
Lec 30 | MIT 5.111 Principles of Chemical Science, Fall 2005
Transition Metals (Prof. Catherine Drennan) View the complete course: http://ocw.mit.edu/5-111F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 5.111 Principles of Chemical Science, Fall 2005
MIT 5.111 Principles of Chemical Science, Fall 2008 View the complete course: http://ocw.mit.edu/5-111F08 Instructor: Catherine Drennan, Elizabeth Vogel Taylor License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 5.111 Principles of Chemical Science, Fall 2008
Chemistry 107. Inorganic Chemistry. Lecture 13
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 13. Inorganic Chemistry -- Ionic Structures 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/info More co
From playlist Chem 107: Week 5
Vanessa Robins (11/28/17): Persistence diagrams of bead packings
Uncovering grain-scale mechanisms that underlie the disorder-order transition in assemblies of granular materials is a fundamental problem with technological relevance. To date, the study of granular crystallization has mainly focussed on the symmetry of crystalline patterns while their em
From playlist AATRN 2017
Interstitial Sites {Texas A&M: Intro to Materials}
Tutorial illustrating the concept of "interstitial sites" in a crystal lattice; what are the geometries of these sites, where are they located in the lattice Video lecture for Introduction to Materials Science & Engineering (MSEN 201/MEEN 222), Texas A&M University, College Station, TX. h
From playlist TAMU: Introduction to Materials Science & Engineering | CosmoLearning.org
How do ceramic crystal structures differ from metal crystal structures?
Metal crystal structures are much simpler than ceramic structures. This is due to two reasons. First, ceramics have positive and negative charged ions. Cations and ions must maintain charge neutrality. Second, the size of cations and anions are very different! Structures with multiple diff
From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020
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