Platonic solids (eBook)

Research Paper (postgraduate) from the year 2020 in the subject Computer Science - Programming, grade: keine, University of Applied Sciences Bremen, language: English, abstract: In this paper, we describe the utilization and genesis of an interactive website you can use to create, display and manipulate Platonic solids and other polyhedra.
“In geometry, a polyhedron is a three-dimensional shape with flat polygonal faces, straight edges and sharp corners or vertices”.
“In three-dimensional space, a Platonic solid is a regular, convex polyhedron”.

The polyhedron is dynamically created by simulating physical masses (vertices) connected by springs and dampers (edges) covered by a convex hull (faces). You can use
the left mouse button to drag single vertices around and watch the “rubber polyhedra” dilate, translate, and rotate, in order to pull the vertex back into its hull. Pressing the
right mouse button, you can orbit the camera around the scenery. With the mouse wheel you can zoom in and out. You can choose different polyhedra via a button list.

The website has been programmed in Unity in C#, compiled for WebGL, and should run in every modern browser.