Thymio geometry

In order to model any kind of robot robot with GeoGebra, we need to base the design on a reference system attached to the robot. Here we are going to create the geometry of the Thymio robot. Quite naturally we select the pen hole position, point [math]A[/math], as the reference point, together with an orientation angle [math]\theta[/math]. By setting the pair [math](A, \theta)[/math] the robot can be placed anywhere in the working plane. These are the elements we need to create: [list] [*] the position of the robot, center point [math]A[/math] [*] the orientation angle of the robot [math]\theta[/math] [*] the robot direction unit vector [math]\vec v[/math] [*] the perpendicular direction unit vector [math]\vec u[/math] [*] the position of the two wheels [math](A_0, A_1)[/math] [*] the corner points of the outline [math](B_0, B_1, B_2, B_3, B_4)[/math] [*] the straight and circular segments of the outline [/list] First go back to step 1 and then go through the construction process step by step. Then, try to draw the Thymio robot or any other robot on a new GeoGebra worksheet.

Try to change the robot position by moving its center point [b]A[/b] Try to change the robot orientation by moving the slider [b]theta[/b]