Arithmetic problems of solid geometry | Polyhedra
A Heronian tetrahedron (also called a Heron tetrahedron or perfect pyramid) is a tetrahedron whose edge lengths, face areas and volume are all integers. The faces must therefore all be Heronian triangles.Every Heronian tetrahedron can be arranged in Euclidean space so that its vertex coordinates are also integers. (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
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
4 DIFFERENT ways to prove Heron's formula
Your high school Math(s) teacher might not even explain to you how Heron's formula is derived, let alone Heron's original idea. This video explains 4 different ways to prove the Heron's formula. Note: This is a sort of experiment for longer videos. I am not exactly sure whether this wou
From playlist Geometry Gem
Trigonometry XII: Heron's Formula for the Area of Triangle
Follow me on instagram @whatthehectogon https://www.instagram.com/whatthehectogon/ If you have any questions, leave a comment below or feel free to email me at the misspelled whatthehectagon@gmail.com In this video, I prove the lovely formula for the area of a triangle from the indomitab
From playlist Trigonometry
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
Superhero Triangles - Numberphile
Heronian triangles and other fascinating things, featuring Dr James Grime. Get your Superhero Triangle T-Shirt and other stuff: http://bit.ly/Super_Tri More links & stuff in full description below ↓↓↓ More videos with Dr Grime: http://bit.ly/grimevideos Dr James Grime: https://www.singing
From playlist James Grime on Numberphile
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
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
Advancing Cellular Life | Astrobiology Course 5.1
Learn the foundations of astrobiology from Professor Impey, a University Distinguished Professor of Astronomy at the University of Arizona, with our Astrobiology: Exploring Other Worlds course here on YouTube. This video is part of module 5, Complex Life & Intelligence. Want to take the f
From playlist Astrobiology Course Module 5: Emerging Life & Intelligence
This is a recreation of a short clip from a long form video showing six different ways to construct the Sierpinski triangle: https://youtu.be/IZHiBJGcrqI In this short, we shade odd entries of the Halayuda/Pascal triangle to obtain the Sierpinski triangle. Can you explain why this works?
From playlist Fractals
2003 AIME II problem 4 (part 1) | Math for fun and glory | Khan Academy
Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/math/math-for-fun-and-glory/aime/2003-aime/v/2003-aime-ii-problem-4-part-2?utm_source=YT&utm_medium=Desc&utm_campaign=mathforfunandglory Missed the previous lesson? https://www.khanacademy.org/math/math-for-fun-and-g
From playlist AIME | Math for fun and glory | Khan Academy
Three dimensional geometry, Zome, and the elusive tetrahedron (Pure Maths Seminar, Aug 2012)
This is a Pure Maths Seminar given in Aug 2012 by Assoc Prof N J Wildberger of the School of Mathematics and Statistics UNSW. The seminar describes the trigonometry of a tetrahedron using rational trigonometry. Examples are taken from the Zome construction system.
From playlist Pure seminars
Average height | MIT 18.02SC Multivariable Calculus, Fall 2010
Average height Instructor: Joel Lewis View the complete course: http://ocw.mit.edu/18-02SCF10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.02SC: Homework Help for Multivariable Calculus
The Tetrahedral Boat - Numberphile
Featuring Marcus du Sautoy discussing polyhedra and the art of Conrad Shawcross... More links & stuff in full description below ↓↓↓ Marcus du Sautoy website: https://www.simonyi.ox.ac.uk Marcus' books on Amazon: https://amzn.to/33YbOxS More videos with Marcus: https://bit.ly/Marcus_Number
From playlist Marcus Du Sautoy on Numberphile
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/nicy. Tiling of H^2 image from http://en.wikipedia.org/wiki/File:H2checkers_iii.png
From playlist 3D printing
Tetrahedron decomposition (pure CSS 3D)
You can see the live demo here https://codepen.io/thebabydino/pen/OjgWQG/ If the work I've been putting out since early 2012 has helped you in any way or you just like it, please consider supporting it to help me continue and stay afloat. You can do so in one of the following ways: * yo
From playlist CSS variables
Platonic and Archimedean solids
Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV
From playlist 3D printing