The kinematic method of determining the total curvature of a plane

Бесплатный доступ

The article is devoted to determining of the total curvature of a plane curve, using a method based on the movement laws of turtle Tortilla - an executor of commands of FMSLogo environment. This method is called kinematic. The article contain the examples of determining the total curvature of the circle, including the listing of the program, as well as "simple" curves, such as cardioid and Astroid, self-intersecting curve, lemniscate of Bernoulli, and closed curves - sine wave and parabola.

Discrete differential geometry, gauss map, inscribed polygon, fmslogo, turtle tortila, kinematic method, circle, astroid, cardioid, bernoulli lemniscate, sine, parabola, total curvature, turning number

Короткий адрес: https://sciup.org/148179792

IDR: 148179792

Статья научная