*Mathematical playground.*

As a recreational mathematician, I have investigated several topics: The Chinese Remainder Theorem, Arithmetic Billiards, Rubik's Snakes, Divisibility Graphs, and Congruence Theorems.

- Original proof of the Chinese Remainder Theorem:
*The Chinese Remainder Clock*, College Journal of Mathematics, vol. 48, no. 2, March 2017, 82-89, link. - Closed paths for arithmetic billiards: with Joe Reguengo De Sousa (Bachelor student) and Sebastiano Tronto (PhD student),
*Arithmetic billiards*, Recreational Mathematics Magazine, vol. 9, no. 16, June 2022, 43-54, link. - General arithmetic billiards: One result with Bruno Carvalho da Veiga (Bachelor student), pdf.
- General congruence theorems for convex polygons: with Emiliano Torti (Postdoc),
*Congruence Theorems for convex polygons involving sides, angles, and diagonals*, International Journal of Geometry, vol. 12, no. 1, 2023, 83-92, link. - On the planar configurations of Rubik Snakes: with Francesco Grotto (Postdoc) and Tatjana Van Steenbergen Bergeron (High-school pupil),
*Rubik Snakes on a plane*, to appear in the College Mathematical Journal. - Graph theory meets arithmetics: with Tim SeurÃ© (Master student) and Vincent Wolff (PhD student),
*Divisibility Graphs and Modular Multiplication Tables*, to appear in the American Mathematical Monthly. - Some variants of the
*intermediate value theorem*for the rationals, pdf.

The following articles appeared in Plus Magazine (University of Cambridge).

- Article
*Arithmetic Billiards*. - Article
*Maths Around the Clock*. - Article
*The hardest logic puzzle ever*.

The following articles (translated into Dutch by Luc van de Broek) appeared in the magazine Uitwiskeling.

- Article
*Trigonometry for the multiples of 3 degrees*, with Deborah Stranen. -
Article
*5-Con triangles*. -
Article
*The Art Gallery Problem*. -
Article
*The 15-puzzle*. -
Article
*Four points, two distances*. -
Article
*The seven bridges of Königsberg*. -
Article
*Discover multisets*. -
Article
*The ABCD of cyclic quadrilaterals*, with Engjëll Begalla. -
Article
*Every number is the beginning of a power of 2*. -
Article
*Staircase numbers*.