Part of K C Cole’s teaser for tomorrow’s Categorically Not! – Inside Out said:
Sometimes the results are surprising: circles in the plane can’t be turned inside out, but spheres in 3-dimensional space can be.
This is all the license I need to show you* this wonderful 21 minute video showing exactly that (and explaining some rather beautiful mathematics along the way):
Direct link to the Google Video (for larger viewing) here.
Enjoy!
-cvj
Hi John!
I hope all is well.
Thanks for stopping by! Come back soon!
-cvj
Hi, Professor. Johnson
This is John Chae from phys408b last semester.
I was looking around your website and happened to wonder into this site. Actually, the reason was the name of this website. )
This video clip was REALLY amazing. I never thought about it. Of course.
I was amazed by the idea and its lower dimension analogy to a circle. I will visit
whenever I have time from now on.
bye
John
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Is there a direct link between how we use consciousness and mathematics to present “consistency in our sociological thinking?”
So if we used a circle and a sphere “more correctly” we can expand the philosophy we are developing according to the inhernet nature of that math? Would you want too?