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Topology and Morphology

SCScratch-Minion•Created May 27, 2019
Topology and Morphology
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Instructions

Can a Tetrahedron morph smoothly into a Cube? A Tetrahedron has 4 faces, a Cube has 6 faces. Maybe ... we could split each Tetrahedron face into 3 triangles then combine each triangle with the triangle of another Tetrahedron face that shares an edge ... and then warp things a bit. Green Flag. Key <C> will change to the original colour scheme that I used in this project although I don't like it as much.

Description

A Topologist is a type of mathematician who cannot tell the difference between a coffee cup and a doughnut. Topologists view two objects as similar if one can be stretched to form the other - this means they must have the same number of holes in them. As a Tetrahedron and a Cube have no holes in them one should be able to be stretched into the other. Cow to Sphere GIF: https://en.wikipedia.org/wiki/File:Spot_the_cow.gif Coffee Cup to Doughnut GIF: https://en.wikipedia.org/wiki/File:Mug_and_Torus_morph.gif Coffee Cup to Doughnut on YouTube: https://www.youtube.com/watch?v=9NlqYr6-TpA Huge thanks to @TheLogFather for his "Faster Triangle Filler" https://scratch.mit.edu/projects/24828481/ 3D Tutorial Studio: https://scratch.mit.edu/studios/5040029/ Polyhedron Studio: https://scratch.mit.edu/studios/5085215/ 3D Rotation theory from Wikipedia: https://en.wikipedia.org/wiki/Rotation_matrix

Project Details

Project ID313311720
CreatedMay 27, 2019
Last ModifiedMarch 26, 2020
SharedFebruary 1, 2020
Visibilityvisible
CommentsAllowed