005 - squareGANs

One of the interesting things we noticed about squareGANs is that they have a silver ethereal quality to them. Almost as if they were smoke wafting between dimensions, appearing and disappearing. Hard to describe, but when you see it, you can notice it.

If the bitGAN was a squareGAN, (numbers 2, 4, 8, 16, 25, 36, 49, 64, etc) chances are it had this property.

The other rabbit hole we found ourselves down was the connection between squares, cubes, and these things called tesseracts, like in the Marvel movies. Turns out they are real things, though hard to imagine. They are just like cubes, but 4 dimensional.

So when you draw tesseracts out they are a little confusing, but then your mind gets even more confused when you see it moving around in 3D space, ‘cause it is a 4D object.

In the same way a square can be stretched in the third dimension into a cube, a cube can be stretched in the fourth dimension into a tesseract. It looks like the object below when this happens, which oddly enough looks a little like how the bitGANs move.

If it is hard to see cubes inside the tesseract, here is another way to imagine the 4D object. See how image below cycles through all the cubes in the tesseract. Turns out there are eight cubes in a tesseract.

Wait that is it, here are 8 cubes in the Tesseract. Think there is a relationship between lines, squares, cubes, tesseracts, etc that is almost binary. Let’s plot it out.

Shape:     Singularity   Line   Square   Cube   Tesseract   5-Cube   6-Cube
Dimensions:     0          1       2       3         4         5        6     
Points:         1          2       4       8        16        32       64

See that? - 2, 4, 8, 16, 32, 64 - These are powers of two which make up binary logic and computer systems.

squareGANs are squares, but there is definitely something else here related to the powers of 2. It appears obvious, but I can’t figure out what it all means. Looking forward to the next drop and the new clues it brings.

Hopefully less math and more answers.