Cassini Wheel (N=4 4R Virtual Wheel)

Author:
asifsound
Virtual radius wheel (r = 4R ).  Square wheel. related Chebyshev Linkage (quasi-straight line). Detailed explanation is described in "Cassini Wheel" . If this wheel edge were bigger than stair step, it's easy to climbing stairs (?). ■ about Planet orbit In this figure, If A were the earth, C were the moon, C rounds by θ speed, and C self-spins [= CC' round] by average θ/2 speed. i.e. θ : θ/2. Reuleaux triangle approximation system is θ : θ/3 speed. [in this case, θ/3 is not average speed, is exact speed.] Tip: Reuleaux triangle Wheel was 2R virtual radius system, but this Cassini is 4R virtual radius system. Reuleaux body was rigid, but this Cassini is amorphous body. ■ Is this a constant velocity? Please tell me. ■ 360゜: circle → 2π r ≒ 6r, square → 8r; So, 4/3=1.33 times longer edge length. ■ Hybrid Reuleaux triangle ---- added on 2016/12/09 4 corners should be replaced by Reuleaux triangle corners. Corner's curve becomes more flat (i.e. 2R curve). i.e. blue is 4R arc, purple is 2R arc.