3 papers
math.GM2025
Point-to-ellipse Fourier series
John-Olof Nilsson
Fourier series with power series coefficients for the normal and distance to a point from an ellipse are derived. These expressions are the first of their kind and opens up a range…
math.CO2024
The Pattern Complexity of the Squiral Tiling
Johan Nilsson
We give an exact formula for the number of distinct square patterns of a given size that occur in the Squiral tiling.
math.CO2024
The Pattern Complexity of the 2-Dimensional Paperfolding Sequence
Johan Nilsson
We present an exact formula for the number of distinct crease patterns in a square shaped region of a given size that appear in the 2 dimensional paperfolding structure.