Timeline for Plotting 2-dimensional polytopes embedded in n-dimensional Euclidean spaces
Current License: CC BY-SA 4.0
13 events
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| Sep 14, 2019 at 17:00 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| May 17, 2019 at 16:03 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Jan 17, 2019 at 16:01 | history | bumped | CommunityBot | This question has answers that may be good or bad; the system has marked it active so that they can be reviewed. | |
| Dec 18, 2018 at 15:18 | answer | added | Michael E2 | timeline score: 1 | |
| Dec 18, 2018 at 14:35 | history | edited | Michael E2 |
edited tags
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| Dec 18, 2018 at 14:34 | comment | added | Michael E2 |
Also proj = NullSpace[N@listofnormals] will give you the projection matrix. Note it's important that the input be (approximate) Real numbers. If they're integers or other exact numeric quantities, then the rows of proj won't be orthonormal in general..
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| Dec 18, 2018 at 14:26 | comment | added | Michael E2 |
MeshCellNormals might help.
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| Dec 18, 2018 at 4:44 | comment | added | halirutan | Your polygon lies in a 2d plane within the 3d space. What you probably want is to project your points along the normal of the plane that is spanned by the polygon. As David pointed out, this does not work in general but in your case this should do the trick. | |
| Dec 18, 2018 at 2:59 | history | edited | Felix Garner | CC BY-SA 4.0 |
added 15 characters in body
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| Dec 18, 2018 at 2:58 | comment | added | Felix Garner | @David G. Stork, when I stated "n-dimensional figures with 2-dimensional geometries", I essentially meant 2-dimensional polytopes embedded in n-dimensional spaces, with n some integer greater than 2. I have also clarified my original question to avoid confusion. | |
| Dec 18, 2018 at 2:54 | comment | added | David G. Stork | It is mathematically impossible to "preserve angles and distances" when projecting a three-dimensional figure onto a two-dimensional plane. Just think of the 8 vertexes of a cube, for instance. | |
| Dec 18, 2018 at 2:45 | review | First posts | |||
| Dec 18, 2018 at 15:50 | |||||
| Dec 18, 2018 at 2:41 | history | asked | Felix Garner | CC BY-SA 4.0 |