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Solids of Constant Width

Payback (Member Profile)

Januari says...

You know... that actually helped... thanks!...

In reply to this comment by Payback:
>> ^Januari:
Hmmm really hate this video....
Because even after watching it... i'm at a complete loss as to explain it... Geometry and Math never really been my particular thing... but still... feel just very dumb watching this...


There are two planes, the book, and the table.
When a point plants itself on the table, the book "rolls" along the opposite curved surface.
When the book gets to the end of a curve, it becomes a point, and then the table "rolls" along the opposite curved surface.

One thing; both planes MUST be parallel. As soon as the book is tilted or there's a floor flaw in the table, it fails to work.

Solids of Constant Width

Solids of Constant Width

BoneRemake says...

>> ^ravioli:

How would a bowling ball shaped like this behave??


Well if it was shaped like this then it wouldnt be a bowling ball now would it ? If say, you where to use the material and manufacturing process used in making bowling balls, had one made in this manner, then it would be a much heavier version and when rotating have much more momentum. other then that. it'd be the same yet heavier.

Solids of Constant Width

Payback says...

>> ^Januari:
Hmmm really hate this video....
Because even after watching it... i'm at a complete loss as to explain it... Geometry and Math never really been my particular thing... but still... feel just very dumb watching this...


There are two planes, the book, and the table.
When a point plants itself on the table, the book "rolls" along the opposite curved surface.
When the book gets to the end of a curve, it becomes a point, and then the table "rolls" along the opposite curved surface.

One thing; both planes MUST be parallel. As soon as the book is tilted or there's a floor flaw in the table, it fails to work.

Stonebreaker (Member Profile)

An Explanation of the Solids of Constant Width Shape

Stonebreaker (Member Profile)

siftbot says...

Congratulations! Your video, Solids of Constant Width, has reached the #1 spot in the current Top 15 New Videos listing. This is a very difficult thing to accomplish but you managed to pull it off. For your contribution you have been awarded 2 Power Points.

This achievement has earned you your "Golden One" Level 18 Badge!

Solids of Constant Width

Solids of Constant Width

Solids of Constant Width

Solids of Constant Width

Stonebreaker (Member Profile)

QI - The Toblerone-Rolo-Combo!

Truckchase says...

>> ^TheFreak:

Isn't Wankel feeling rather smug right about now.


I thought the same thing, and Wikipedia greeted me with this:

"The rotor of the Wankel engine is easily mistaken for a Reuleaux triangle but its curved sides are somewhat flatter than those of a Reuleaux triangle and so it does not have constant width. "

Source (English translation) http://translate.google.de/translate?u=http%3A%2F%2Fwww.der-wankelmotor.de%2FTechniklexikon%2Ftechniklexikon.html&sl=de&tl=en&hl=de&ie=UTF-8

I'm still partial to the reference though.

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