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Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears 3d printed
Irrational Gears 3d printed

DIGITAL PREVIEW
Not a Photo

Irrational Gears

Made by
$301.20
3D printed in white nylon plastic polished to reveal a smooth matte finish.
QTY
Product Description


Irrational Gears is a gearing system with a gear ratio equal to the golden ratio, that is 1:1.6180339887.... Gear systems are supposed to have a rational gear ratio, that is one can be expressed as a/b, where a and b are both integers. The golden ratio is an irrational number that cannot be expressed this way. The golden ratio is known as the most irrational number.

This gear system was designed by expressing the golden ratio as 6.47213617... : 10.47213617... . This is close to 6.5:10.5=13:21, a well-known approximation of the golden ratio. The teeth are wrapped around two cylinders, one of which slides over a square bar. At a full rotation of the small gear, the large gear has made 0.6180339887... part of a full rotation. The angle (1-0.6180339887... x 360 = 137.507764068... degrees. is also known as the golden angle, found in many places in nature.

Watch the YouTube video.
Read at the Shapeways Forum.
Read more at the Non-Twisty Puzzles Forum.

Please order a 3D-printed do-it-yourself puzzle kit from Shapeways at this page (check with Oskar about screws), or contact Oskar directly if you are interested in obtaining a fully colored, stickered and assembled sample of this contraption.

Details
What's in the box:
Irrational Gears
Dimensions:
10.42 x 13.9 x 4.42 cm
Switch to inches
4.1 x 5.47 x 1.74 inches
Switch to cm
Success Rate:
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Rating:
Mature audiences only.
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