#math joy

(That is the first page of the list of the polytopes I want to make. (92 Johnson solids will be very very much, and I have to stop myself from thinking about those many solids. but eeeh. we might approach it step by step... )

So, I started the polytope cards project some time in the summer of this year.

I already made all 5 platonic solids,

some regular 4-polytopes (the 4D platonic solids plus the 24-cell that has no 3D sibling),

and the first 4 archimedian solids.

Today I created the truncated octahedron card:

Yesterday I made the truncated tetrahedron card:

- - -- ---

The general template of the cards is as following:

This project is still in progress.

Furtherly I want to add:

The ingredients for this very delicious soup need to be baked before they can be used for cooking this well-made yummy shape soup.

So, I'm happy to announce I'm in the midst of digitalizing (scanning and adjusting/slightly editing png files) my isometric polyhedron drawings.

They will be transparent pngs with a hexagonal shape depicted like in the picture above.

One might use them as stickers or play around with pngs like a true tumblrina would.

Today's shape was the archimedian solid "Snub cube".

The snub cube has 38 faces in total - 6 square faces and 32 triangular faces.

It has 60 edges and 24 vertices.

Each vertex is met by 4 triangle faces and 1 square face.

A snub cube is an alteration of a truncated cuboctahedron.

The drawing:

For the isometric projection drawing I started with a truncated cuboctahedron, and continued to alter the truncated cuboctahedron's octagonal faces into square faces.

is the only 4-digit prime number that is both:

2 less than a square (93² − 2 = 8649 - 2 = 8647)

AND

1 more than a triangular number (8646 is the 131st triangular number)