
06526664
j
2016a.00649
Nagy, \"Ors
Andr\'as, Szil\'ard
Approximated Poncelet configurations.
Teach. Math. Comput. Sci. 13, No. 2, 163176 (2015).
2015
,
EN
G74
G75
U74
U75
mathematical pendulum
computer simulation
Poncelet porism
Steiner porism
Poncelet grid
Summary: In this short note we present the approximate construction of closed Poncelet configurations using the simulation of a mathematical pendulum. Although the idea goes back to the work of Jacobi, only the use of modern computer technologies assures the success of the construction. We present also some remarks on using such problems in project based university courses and we present a Matlab program able to produce animated Poncelet configurations with given period. In the same spirit we construct Steiner configurations and we give a few teaching oriented remarks on the Poncelet grid theorem.