PROBLEM: Plot the epicycloids
and hypocycloids mentioned above.
The holes for spark plugs and exhaust manifolds (see figure bellow), which goes through the combustion chamber, should be executed after the epicycloid profile.
The epicycloid curve is generated by a fixed point P, related to a circle, which is rolling slidingless outside of another fixed circle, as in figure 2.a.
And Jewish-Polish writer Bruno Schulz, in The Street of Crocodiles, describes the imminent end of the world, a splendid comet heralding this end, and bicyclists hurling across the heavens: Oh, stellar arena of night, scarred by the evolutions, spirals and leaps of Those nimble riders; oh, cycloids and epicycloids
executed in inspiration Along the diagonals of the sky, amid lost wire spokes, hoops shed with indifference, to reach the bright goal denuded, with nothing but the pure idea of cycling!
Surfaces having polygonal and curved directory (ellipse, circle, epicycloids
, etc.) with linear and curved generatrices (Ghi[??]a, 2001), from different parts have a functional role, which demands certain accuracy.
In the case of the complex surfaces, (Sandu & Strajescu, 2007), (Strajescu & Sandu, 2006), (Sandu & Strajescu 2006), the curves G and D have a complex geometrical form, namely different than the circle or the right line (epicycloids
, hypocycloid, involutes, circular helix etc.) These can be generated by cinematic ways using the composition of the simple movements cinematically coordinated in order to obtain their theoretical form.