Electric-Eye
Icosahedron nestled in Dodecahedron
Looking at some mathematics appreciation material recently, I was acquainted with the correspondences between the dodecahedron and icosahedron. Particularly that these Platonic forms have the exact same number of edges, and that the number of faces of one equals the number of vertices of the other. This means that the icosahedron can be nested within the dodecahedron forming a dual form which is just as regular as each form independently.
The octahedron can likewise be nested within the cube, and the tetrahedron can be nested within itself.
You know, I think I would really like to study geometry more deeply, best yet as the mathematics of computer graphics. But I would want to study it à la carte, just choose whichever topics seem interesting and fruitful to me, without having to do things in the order someone else decided was best. No prerequisites either. Because if I have to know the math before I can use it then I will never use most of it, because I won't find most of it to be worth my time until I have an application to which it is an essential tool.
That's how I think math and physics should be taught, as the tools you need in order to construct your own video game.
Like it? Would send me some bitcoin as a tip?
1H76GsGpfkyg2PtwnsZnTYgED3NinWgsG6
Or QR code here: www.flickr.com/photos/sightrays/8672657341/
Icosahedron nestled in Dodecahedron
Looking at some mathematics appreciation material recently, I was acquainted with the correspondences between the dodecahedron and icosahedron. Particularly that these Platonic forms have the exact same number of edges, and that the number of faces of one equals the number of vertices of the other. This means that the icosahedron can be nested within the dodecahedron forming a dual form which is just as regular as each form independently.
The octahedron can likewise be nested within the cube, and the tetrahedron can be nested within itself.
You know, I think I would really like to study geometry more deeply, best yet as the mathematics of computer graphics. But I would want to study it à la carte, just choose whichever topics seem interesting and fruitful to me, without having to do things in the order someone else decided was best. No prerequisites either. Because if I have to know the math before I can use it then I will never use most of it, because I won't find most of it to be worth my time until I have an application to which it is an essential tool.
That's how I think math and physics should be taught, as the tools you need in order to construct your own video game.
Like it? Would send me some bitcoin as a tip?
1H76GsGpfkyg2PtwnsZnTYgED3NinWgsG6
Or QR code here: www.flickr.com/photos/sightrays/8672657341/