Freely Rolling Konoid 100 mm

Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
This is a 3D stereopair for cross-eye viewing
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
This is a 3D stereopair for cross-eye viewing
Video
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Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
This is a 3D stereopair for cross-eye viewing
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art This is a 3D stereopair for cross-eye viewing
This is a 3D stereopair for cross-eye viewing
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art
Freely Rolling Konoid 100 mm 3d printed Art Mathematical Art
A Konoid is an artistic representation of a mathematical object called Sphericon.

It’s hard to believe that being placed on a slanted flat surface it rolls freely in a straight line.
Well it wobbles a little, but it will not stop.

From Wolfram MathWorld:
A sphericon is the solid formed from a bicone with opening angle of 90 degrees (and therefore with a=r=h) obtained by slicing the solid with a plane containing the rotational axes resulting in a square cross section, then rotating the two pieces by 90 degrees and reconnecting them.

A sphericon has a single continuous face and rolls by wobbling along that face, resulting in straight-line motion. In addition, one sphericon can roll around another.

cm: 10.212 w x 7.226 d x 7.212 h
in: 4.02 w x 2.845 d x 2.839 h

Comments

 
@ttoinou The videos are here: http://www.youtube.com/anamorpheus50 I thought about increasing a precision. Actually other rollers have much higher precision. Nevertheless the Konoid makes such a distinct rumbling sound when it rolls, so I decided to leave it as is :)
May 5, 2013, 10:47 am
"It’s hard to believe that being placed on a slanted flat surface it rolls freely in a straight line." Right! It is not even a full Sphericon, just two half circles.. A video is needed (: . And you need to enhance the precision of your circles (20 points for half a 3cm radius circle is not enough you can see segments in the photos !)
May 5, 2013, 8:56 am
 
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    White nylon plastic with a matte finish and slight grainy feel.

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