Equilateral Pentahedron

“Now, what we know about crystals of consciousness is crystals of consciousness are five-faceted.” – Ra Uru Hu, Rave Cosmology, Brahma’s Night and Beyond

So I thought to construct a 3D model of a 5 sided shape, that has equal sides and equal angles, curious to see what it looks like. Ra does not say they had to be equilateral, while in my head I could –almost- picture that shape.

When doing an online search what usually comes up is this:

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which indeed have 5 sides, but are not equal in size nor angle, I decided to buy some clay and try to make a round ball, and then put 5 pins in, equally spaced from each other, to perhaps after flatten the spaces around the pin, and see what kind of surfaces come out of this. Which was a disaster, I could not figure out how to space them correctly evenly from each other, my brain and knowledge of mathematics failed me deeply. More online searches spoke of many, many shapes, even called similar, but were usually 10 or 12 sided.

So another idea: buy 5 colors clay, shape them into cones and push them together into a ball:

Maybe paper and scissors and tape would help, 5 sides, so 4 shapes each other side:

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Or from a seamstress template:

Nothing so far…