Wikipedia:Reference desk/Archives/Mathematics/2018 November 6
| Mathematics desk | ||
|---|---|---|
| < November 5 | << Oct | November | Dec >> | Current desk > |
| Welcome to the Wikipedia Mathematics Reference Desk Archives |
|---|
| The page you are currently viewing is an archive page. While you can leave answers for any questions shown below, please ask new questions on one of the current reference desk pages. |
November 6
[edit]Angles in 4D space
[edit]3D space has 2 kinds of angles; dihedral and polyhedral. Dihedral angles are related to edges. Polyhedral angles are related to vertexes. But how about the kinds of angles in 4D space?? Georgia guy (talk) 01:34, 6 November 2018 (UTC)
- You might want to check out Solid angle#Solid angles in arbitrary dimensions. Really, I think you'd say that 3D only has one kind of angle: solid angle. The angles between two vectors on the other hand (which I guess is what you're referring to as dihedral) is really just a normal 2D angle – those 2 vectors determine a plane, and the normal notion of 2D angle can be considered in that plane. Likewise, in 4D, you can have an angle between 2 vectors (in a plane determined by those vectors), but you can also have a 3D solid angle (in a figure that sits in a 3D subspace), or the full analog of 4D solid angle. And so on in higher dimensions. –Deacon Vorbis (carbon • videos) 01:51, 6 November 2018 (UTC)