Dr. Tao Chen uncovers a new bifurcation pattern in logistic maps, extending the classical picture of period-doubling and cycle-merging. He shows that attracting cycles arrange themselves according to Farey addition, revealing an unexpected arithmetic order within nonlinear growth models. By connecting population dynamics, iterative maps, and number-theoretic structure, Dr. Chen offers a fresh perspective on how simple functions can generate rich and intricate patterns across the spectrum of dynamical systems.

If it is possible to write rhymes with equations and formulae then this article written by LaGuardia professors Tao Chen and Roman Senkov is a poem full of wonderful mathematical tricks and true magic. You will learn how to calculate infinite series, continued fractions, nested roots and more.

by Dr. Małgorzata Marciniak

Research on the efficient geometry of flexible solar panels initiated in 2016 was sparked by a question posed by two students in Calculus 3.

Interested in this research? Please contact Dr. Marciniak at mmarciniak@lagcc.cuny.edu

by Dr. Tao Chen

An analysis of the card trick “The Chatty Joker” reveals the math behind magic.