MT19937
Gallery
Parts of the inverse matrix that transforms 24 bit output of MT19937 into its internal state, super-imposed with different colours. 24 bits is chosen because it gives the most interesting patterns.
Parts of the matrix that transforms MT19937 internal state to its 32-bit output, super-imposed with different colours. The black-ness demonstrates how bad MT19937 is at diffusion, and the fact that it can be represented as a matrix shows that its also completely linear.
Metadata
There's order in random number generators because computers. MT19937 in particular has maybe too much order (it isn't cryptographically-secure).
2022 note: I submitted this to be displayed in the Seattle Universal Math Museum, “For the Love of Math!” exhibition curated by Timea Tihanyi. Thank you for the opportunity to exhibit my work!