Ah. Is that why LFSRs (linear feedback shift registers) and specifically PRBS generators (pseudo-random binary sequences) produce Sierpinski triangles as well?

Ah. Is that why LFSRs (linear feedback shift registers) and specifically PRBS generators (pseudo-random binary sequences) produce Sierpinski triangles as well? PRBS sequences are well-known, well-used "pseudo-random" sequences that are, for example, used to (non-cryptographically!) scramble data links, or to just test them (Bit Error Rate). I made my own PRBS generator, and was surprised that visualizing its output, it was full of Sierpinski triangles of various sizes. Even fully knowing and honoring that they have no cryptographic properties, it didn't feel very "pseudo-random" to me.