Channel: Think Twice

Category: Education

Tags: think twiceanglesalgoritmmathematicsmathseuclidean geometryexplainedtrianglecompass straightedgecoding2d geometryeducational videoconvexlearn mathcinema4dareaconcavethinkarteducationalgeometric constructions step by stepgeometric constructionssimilar trianglesmathematics educationanimationgeometric constructions definitionsquaretwicepolygongeometry formulasnon euclidean geometryconstructionsprocessinggeometrymathcirclegeometric art

Description: 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