3 papers
math.NT2025
Note on the negative base xor sequence
H A Verrill
We prove a relationship between certain integer expressions involving operators similar to the binary exclusive or. This gives a proof and generalization of a result conjectured ab…
math.CO2024
On the Boundary of the Harter-Heighway dragon curve
Helena Verrill
In this article we apply an L-system to prove a recurrence formula for the length of the boundary of iterands of the well known Harter-Heighway dragon curve, a space filling curve…
math.CO2024
L-systems for the Boundaries of fractal dragon space filling folding curves
H. A. Verrill
We describe an algorithm to find an L-system for the boundary of space-filling square grid based folding curves, such as the fractal dragon curves. This complements work of Dekking…