Spat / Parallelflach / Parallelepiped [math geometry model]

This model showcases that 3 times three sided, same-volume-pyramids are half of a Parallelepiped.
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updated October 7, 2024

Description

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We searched the Net for a model like this without success. 
So I decided to create one myself and share for others.

The derivation of the formula tells us that six three sided, same-volume-pyramids are a Parallelepiped. This model showcases that.

The whole model is held together with 16 peaces of 6mmx3mm round neodynmagnets. they hold perfectly, and let the peaces snap in place. I gave them 0,1mm clearance in depth precautionally.

Also shared the Fusion360 file:
I parametric designed the holes for the magnets. So if you opt for smaller ones you are good to change just the parameters and you are done.

printed in PLA, 0,2 Layerheight, 2 perimeters, 15% infill, all parts separately in different colors:
Geeetech PLA NEW BLACK
Geeetech PLA Silk Silver
Geeetech PLA Silk Gold
Geeetech PLA Silk Copper

10:44h print, all parts in total.

#Update: 
Added a 1-Peace-Solid-Version 
 

Model origin

The author marked this model as their own original creation.

License