@ThinkTwiceLtu
  @ThinkTwiceLtu
Think Twice | Constructing a Square of Equal Area to a given Polygon @ThinkTwiceLtu | Uploaded August 2019 | Updated October 2024, 1 day ago.
Explore the world of Euclidean geometry by solving geometry puzzles at:
brilliant.org/ThinkTwice

--------------------------------------------------------------------------------------------------

Please consider supporting Think Twice on:

► Patreon: patreon.com/Think_twice

► Twitter: twitter.com/thinktwice2580 (@thinktwice2580)

► Instagram: instagram.com/thinktwice_ltu (@thinktwice_ltu)

--------------------------------------------------------------------------------------------------

About the video:
1. Pick any polygon
2. Split it up into triangles (While it is trivial to triangulate any convex polygon it is has been proven that any polygon, convex or concave, can be decomposed into triangles and there are many triangulation techniques).
3. Construct a rectangle of equal area for each triangle.
4. Construct a square of equal area for each rectangle.
5. Construct a larger square equal to the sum of each smaller squares via Pythagorean Theorem.

--------------------------------------------------------------------------------------------------

Any further questions:
thinktwiceask@gmail.com

Programs used:
► Cinema 4D
► Processing

Music by
► Lee: youtube.com/watch?v=q7oBUl7AM_k
Constructing a Square of Equal Area to a given PolygonFinding the general formula for nth octagonal number | Visual proof |Approximating Pi ( Monte Carlo integration ) | animationChaos Game | Fractals emerging from chaos | Computer simulation |Sum of first n odd numbers | Visual mathematics |Napoleons theorem | Proof |Visual Calculus: Derivative of sin(θ) is cos(θ)Beautiful visualization | Sum of first n Hex numbers = n^3 | animationUnfolding The Dragon | Fractal Curve |Cutting a Möbius strip in half (and more) | Animated Topology |Spherical Geometry: Deriving The Formula For The Area Of A Spherical TriangleArea of dodecagon | Beautiful geometry | Visual mathematics

Constructing a Square of Equal Area to a given Polygon @ThinkTwiceLtu

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER