id: 06526664
dt: j
an: 2016a.00649
au: Nagy, Örs; András, Szilárd
ti: Approximated Poncelet configurations.
so: Teach. Math. Comput. Sci. 13, No. 2, 163-176 (2015).
py: 2015
pu: ,
la: EN
cc: G74 G75 U74 U75
ut: mathematical pendulum; computer simulation; Poncelet porism; Steiner
porism; Poncelet grid
ci:
li:
ab: 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.
rv: