Re: [math-fun] tetraroller volume
<< PS, did anybody look at intersecting four cylinders instead of cones? I'm not even sure how many faces this makes (http://gosper.org/face.jpg). Likewise the intersections of 6 and 10 cylinders corresponding to the higherhedra.
Don't think I ever calculated the volumes, but was able to figure out the face structure of the four equal cylinders (which could be said to intersect as do the great diagonals of a cube). Same method should apply to the higherhedra. --Dan _____________________________________________________________________ "It don't mean a thing if it ain't got that certain je ne sais quoi." --Peter Schickele
On Mon, Oct 20, 2008 at 19:18, Dan Asimov <dasimov@earthlink.net> wrote:
<< PS, did anybody look at intersecting four cylinders instead of cones? I'm not even sure how many faces this makes (http://gosper.org/face.jpg). Likewise the intersections of 6 and 10 cylinders corresponding to the higherhedra.
I don't know about the volumes, but if you need to visualize the intersections of cylinders, I have a few patterns that you can print, cut and glue: Two cylinders: http://www.flickr.com/photos/sbprzd/2406337240/ Three cylinders: http://www.flickr.com/photos/sbprzd/2416309795/ Four cylinders: http://www.flickr.com/photos/sbprzd/2411443998/ and this is how they look when they are built: http://www.flickr.com/photos/sbprzd/2413722387/ http://www.flickr.com/photos/sbprzd/2413722391/ http://www.flickr.com/photos/sbprzd/2416324827/ Best, Seb
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Dan Asimov -
Seb Perez-D