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ToriFrom: Steven
Subject: Philosophy
Date/Time 2009-10-26 00:11:50
Remote IP: 76.252.64.69
MessageHere are some pictures of tori.
These are all distinct mathematical shapes, and
you can't get one from another without passing
through a singularity.
May address the torus-type question I posed . . . S
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Here is a picture of a torus:
http://www.math.harvard.edu/archive/21a_spring_06/exhibits/torus/torus.jpg
Here is a picture of a double-torus:
http://www-xray.ast.cam.ac.uk/~jgraham/hypo/h12/images/double%20torus.gif
Here is a picture of interlocking tori:
http://www.laetusinpraesens.org/musings/images/torus_files/interlock.png
Here are pictures of a "horn torus" (this might be what you want):
http://purple.univ-littoral.fr/~sadovski/images/spT8cut.gif
(oblique view with cutaway)
http://www.jonathonart.com/torus-l.jpg
http://www.artmetic.de/dorntorus.gif
(side/internal views)
Here is a picture of a "spindle torus":
http://mathworld.wolfram.com/SpindleTorus.html
(interesting because cross-section is a Vesica-Pisces!)
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