In geometry, the rectified truncated octahedron is a convex polyhedron, constructed as a rectified, truncated octahedron. It has 38 faces: 24 isosceles triangles, 6 squares, and 8 hexagons. Topologically, the squares corresponding to the octahedron's vertices are always regular, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the squares, having different but alternating angles, causing the triangles to be isosceles instead. (Wikipedia).
Platonic and Archimedean solids
Platonic solids: http://shpws.me/qPNS Archimedean solids: http://shpws.me/qPNV
From playlist 3D printing
See http://thedicelab.com/ for more details. These dice are available at http://www.mathartfun.com/shopsite_sc/store/html/DiceLabDice.html
From playlist Dice
Simplify a trig expression by multiplying a cosine
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple trigonometric function. This can be achieved by various means i
From playlist How to Simplify Trigonometric Expressions by Multiplying
Learn how to determine the product of two fractions with unlike denominators
👉 Learn how to multiply fractions. To multiply fractions, we need to multiply the numerator by the numerator and multiply the denominator by the denominator. We then reduce the fraction. By reducing the fraction we are writing it in most simplest form. It is very important to understand t
From playlist How to Multiply Fractions
Jane Kostick - 13-Piece Puzzles - G4G13 April 2018
Geometric constructions with 13 pieces
From playlist G4G13 Videos
Simplify trigonometric expression by multiplying rational expressions
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple trigonometric function. This can be achieved by various means i
From playlist How to Simplify Trigonometric Expressions by Multiplying
Thin Groups and Applications - Alex Kontorovich
Analysis and Beyond - Celebrating Jean Bourgain's Work and Impact May 21, 2016 More videos on http://video.ias.edu
From playlist Analysis and Beyond
Combinatorics and Geometry to Arithmetic of Circle Packings - Nakamura
Speaker: Kei Nakamura (Rutgers) Title: Combinatorics and Geometry to Arithmetic of Circle Packings Abstract: The Koebe-Andreev-Thurston/Schramm theorem assigns a conformally rigid fi-nite circle packing to a convex polyhedron, and then successive inversions yield a conformally rigid infin
From playlist Mathematics
Multiply two binomials of trigonometric expression to simplify
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple trigonometric function. This can be achieved by various means i
From playlist How to Simplify Trigonometric Expressions by Multiplying
Summary for simplifying complex fractions
👉 Learn how to simplify a complex fraction. A complex fraction is a fraction with another fraction or fractions in the numerator and/or in the denominator. To simplify a complex fraction is to reduce the fraction in such a way as there is only one numerator and denominator. In doing that,
From playlist How to Simplify Complex Fractions | Learn About
Simplify a Complex Fraction and label restrictions
👉 Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator separately to have one fraction in the numerator and in the
From playlist How to Simplify Complex Fractions with Binomials
Unusual Decimal-to-Fraction Conversion that Just WORKS
Continued fractions prove to be an invaluable tool in converting decimals back to their fractions when you have limited information. They can also be used to find good fractional approximations for irrational numbers and in finding original square roots based solely off of their decimal ex
From playlist Summer of Math Exposition Youtube Videos
The Honeycombs of 4-Dimensional Bees ft. Joe Hanson | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Be sure to check out It's OK to be Smart's video on nature's love of hexagons https://youtu.be/Pypd_yKGYpA And try CuriosityStream today: http://curiositystream.com/inf
From playlist Higher Dimensions
Taking the square root of multiple terms to higher powers, root
👉 Learn how to simplify the square root of an expression. The square root of an expression is an expression which will multiply itself twice to give the original expression. To simplify the square root of an expression, we decompose/factor the expression into a product of two terms that ar
From playlist Simplify the Square Root Expressions
AlgTop8: Polyhedra and Euler's formula
We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's formula relates the number of vertices, edges and faces. We give a proof using a triangulation argument and the flow down a sphere. This is the eighth lecture in this beginner's
From playlist Algebraic Topology: a beginner's course - N J Wildberger
Trigonometric tutorial simplify a trig expression
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple trigonometric function. This can be achieved by various means i
From playlist How to Simplify Trigonometric Expressions by Multiplying
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
Avoiding math to have a relaxing Saturday with friends. Links to everyone's cool stuff below: Gwen Fisher: http://www.beadinfinitum.com/ She also has a blog: http://gwenbeads.blogspot.com/ Also buy everything from her etsy shop before someone else does: https://www.etsy.com/shop/gwenbead
From playlist Thanksgiving: Edible Math
How to multiply two binomials with trigonometric functions to simplify an expression
👉 Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple trigonometric function. This can be achieved by various means i
From playlist How to Simplify Trigonometric Expressions by Multiplying
AlgTop16: Rational curvature of polytopes and the Euler number
We show that the total curvature of a polyhedron is equal to its Euler number. This only works with the rational formulation of curvature, using an analog of the turn angle suitable for the 2 dimensional sphere. This important modification to the theory is original with this lecture series
From playlist Algebraic Topology: a beginner's course - N J Wildberger