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.

Dimensions

IN: 4.02 w x 2.845 d x 2.839 h
CM: 10.212 w x 7.226 d x 7.212 h

Comments

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@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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