Recent content by circlemaker
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High School If a 3D object has 4 points. why use x,y,z to describe 3D?
There must be a "standard" name for this shape... http://img371.imageshack.us/img371/2909/originsplitzc2.th.gif Here's an animation I made a few years ago showing a series of these "twisted circles": http://img296.imageshack.us/i/timewave150rv9.gif/" . Here you can see the transition...- circlemaker
- Post #21
- Forum: Differential Geometry
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High School If a 3D object has 4 points. why use x,y,z to describe 3D?
Lol, sorry should have clarified. Twisted circle is my shorthand for a circle twisted 180 degrees. It looks like 2 circles from one angle, and a square from another. I might've said figure-8 but I've seen different geometries represent that.- circlemaker
- Post #19
- Forum: Differential Geometry
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High School If a 3D object has 4 points. why use x,y,z to describe 3D?
I don't work from textbooks. Here's a picture: http://www.perspectiveinfinity.com/images/bud_side_view.png And here's another perspective showing the platonics and how they connect to it: [PLAIN]http://www.perspectiveinfinity.com/images/platonics.png" . The length of a twisted circle is...- circlemaker
- Post #14
- Forum: Differential Geometry
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High School If a 3D object has 4 points. why use x,y,z to describe 3D?
Maybe the "first 3D object" is 1/8th of an octahedron? Then you'd have your 4 points and x,y,z axis. Although its a lot easier to work with a whole octahedron which looks like a square from any of its axis points. FYI, if you take a twisted circle, duplicate and rotate 90 degrees around each...- circlemaker
- Post #12
- Forum: Differential Geometry