#but above that? I'm told spherical polygons with more than three sides can be broken up into triangles | Explore Tumblr posts and blogs

some-teeth-in-a-trench-coat · 2 years ago

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Is there a way to derive the dihedral angle of a regular polyhedron using only the Schläfli symbol without just looking it up how do you figure out anything about a spherical regular polygon with n vertices without knowing the angles only the sides am I just trying to do the impossible or are the articles I find just misleadingly short

#sfw #personal #ok to reblog #math #genuine questions for anyone who has any clue what I'm on about but if you don't then I'm just venting #I'm working on a Thing and I really really don't want to hardcode anything that isn't absolutely necessary to hardcode #and I KNOW that when the vertex figure is a triangle then you CAN calculate the dihedral angle #using only the angles of the faces #but above that? I'm told spherical polygons with more than three sides can be broken up into triangles #but when I do that I no longer have much information about the triangle from which to derive anything else.

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