1 citations · 1 across the 9 of their papers we have counts for
11 papers
Amicable Lattice Rhombuses are Amicable
Bohdan Biekietov, Iwan Praton, Weiran Zeng
A polygon is equable if its area is equal to its perimeter. A pair of polygons is an amicable pair if the area of the first is equal to the perimeter of the second, and vice versa.…
Amicable Heronian Parallelograms
Iwan Praton, Weiran Zeng
A convex polygon is Heronian if its side lengths and its area are integers. Two polygons are amicable if the area of one is equal to the perimeter of the other, and vice versa. We…
Amicable Triangle and Rectangles on the Integer Lattice
Iwan Praton, Weiran Zeng
Two polygons are amicable if the perimeter of one is equal to the area of the other and vice versa. A polygon is a lattice polygon if its vertices are on the integer lattice …
Equidissections of darts
Yusong Deng, Iwan Praton
We define the dart to be the nonconvex quadrilateral whose vertices are (in counterclockwise order), with . Such a dart can be dissected in…
Amicable Heron triangles
Iwan Praton, Nart Shalqini
A Heron triangle is a triangle whose side lengths and area are integers. Two Heron triangles are amicable if the perimeter of one is the area of the other. We show, using elementar…
Maximum tilings with the minimal tile property
Iwan Praton
A tiling of the unit square is an MTP tiling if the smallest tile can tile all the other tiles. We look at the function , where is the side length of the…