The server presents to you a parametric curve, with an animation showing how a point on the curve varies with the variation of the parameter t. And you have to find two functions F(t), G(t) such that the corresponding parametric curve is as close as possible to that of the server, point by point. You can try several times, and your best reply will be taken into account to compute a score attributed to you. The computation of the score is based on the difference between the curve of the server and that of yours.
You will be free to use any usual functions: polynomial, rational, exponential, logarithmic, trigonometric or inverse, hyperbolic or inverse, etc. And you will need to compose these functions in a most efficient possible way, as your function must be limited in its length.
Detailed menuAttention. If you are new to this exercise, it may turn out to be very hard! Start by taking a training on Free Coincidence.
Other exercises on: Coincidence Parametric curvesThe most recent version
Please take note that WIMS pages are interactively generated; they are not ordinary HTML files. They must be used interactively ONLINE. It is useless for you to gather them through a robot program.
Description: find the best approximation of a parametric curve. interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, geometry, functions, curves, parametric_curves