6 problems

Consider the alternative definition of rotor universality in which cyclic shifts of the same rotor are regarded as equivalent. Cyclic-shift universality conjecture. Under this alte…

A rotor is non-palindromic if it is not palindromic; an ab-ba rotor is the rotor type studied in the source’s ab-ba problem, and rotor length is denoted by $|r|$. The compressor is…

A rotor type is unboppy if it is neither palindromic nor block-repetitive, and a rotor has prime length when its length is a prime number. The compressor is the procedure discussed…

Let $\mathbf{C}(p,b)$ be the class of rotor types that are palindromic if and only if $p=1$ and block-repetitive with block length $b$, but no larger block length, where…

Let $p\in\{0,1\}$ and $b\in\mathbb{N}$. Define $\mathbf{C}(p,b)$ to be the class of rotor types that are palindromic if and only if $p=1$ and are block-repetitive with block length…

A rotor type is a finite sequence of directions; a rotor type is palindromic if it reads the same forwards and backwards, and block-repetitive if it is a concatenation of uniform b…