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5d hypercube toroidal projection -37mm 3d printed

DIGITAL PREVIEW
Not a Photo

14k Gold Plated Brass
5d hypercube toroidal projection -37mm  3d printed
5d hypercube toroidal projection -37mm  3d printed

DIGITAL PREVIEW
Not a Photo

5d hypercube toroidal projection -37mm

$60.23
3D printed in polished brass plated with 14k gold
QTY
Product Description
This is a never before seen projection of the 5 dimensional cube into 3 dimensions.
Larger versions can be found here and here
At this size it is quite delicate and works well as either a pendant or an ear ring.
Although it can only be printed in white plastic or raw brass, the raw brass at Shapeways is now so close to being gold that it takes an expert to tell them apart, and therefore for the price of brass you can have a gorgeous gold appearance.

What is a 5 dimensional cube? Glad you asked :-)
Well there are many ways to try and understand what the geometers of the 19 century figured out about higher dimensional geometry. One of the easiest (though not necessarilly the most accurate) ways is by analogy to the dimensions that we are familiar with. In the third dimension we are familiar with the Cube, and we can see that it has similarities with the two dimensional Square. By moving a square at right angles to it plane we can create a cube. Likewise (theoretically) by moving a cube at right angles to the 3d space it occupies we can create a 4D hypercube, and by moving a 4D hypercube at right angles to the 4D space it occupies we can create a 5D hypercube.

GREAT BOOKS FOR UNDERSTANDING HYPERSPACE
If you really want to understand higher dimensional forms it is essential to get many different insights into what they are. I highly recommend a little book published in 1913 called 'A Primer of Higher Space' by Claude Bragdon. In fact if you purchase one of my higher dimensional geometries and then send me a message through the contact form on my site I would be happy to purchase a Kindle copy of this book for you so that you can go deeper into understanding it. www.SacredGeometryWeb.com/contact

Alternatively there is another old book you may like called Flatland that uses a story set in a two dimensional world to make many higher dimensional concepts more approachable, and you can download it for free from the links at the bottom of the page here https://en.wikipedia.org/wiki/Flatland

The video below may also help with the basics of higher dimensions being explained by Carl Sagan.

More about this particular form ~

I love the way simply by its 5 dimensional symmetries it transcends the duality between the dodecahedral and cubic forms in 3D space.  I also love the way it 'folds up' so that all the lines remain identical lengths.

It is based on my 4D toroidal hypercube model that keeps all 8 cubes equally distorted by the projection down into 3D. Here instead of 8 cubes we have 10 hypercubes equally distorted.

I take no responsibility for the fact that soon after making this model a crop circle appeared with the 2D form.
I also take no responsibility for accidentally opened wormholes into other universes, accelerated spiritual evolution, increased powers of manifestation, or any other strange effects that may be noticed in proximity to higher dimensional geometries!

In the fifth dimension the cubic symmetry is naturally united with the star symmetry patterns by its 5 axes.

                      
Details
What's in the box:
5dhypercube-37mm- Thin Wires
Dimensions:
3.07 x 2.02 x 3.92 cm
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1.21 x 0.8 x 1.54 inches
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Rating:
Mature audiences only.
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