Twisted-Fibonacci-spiral maximality conjecture for rider pieces

Let $\mathbb P$ be a piece, and let a twisted Fibonacci spiral be the vertex configuration defined by four selected moves of $\mathbb P$ in the Fibonacci-spiral pattern, together with fixations making the bounding square as small as possible while keeping all coordinates integral. Twisted-Fibonacci-spiral conjecture. For any piece $\mathbb P$, there is a vertex configuration that maximizes the denominator and is a twisted Fibonacci spiral. The paper illustrates twisted Fibonacci spirals for nightriders, but the claimed maximality for arbitrary pieces is unproved.