N=3 2R-Virtual Wheel (Reuleaux triangle-Frame3)
This "Reuleaux triangle wheel" toy is very interesting indeed. cf. N=3 2R-Virtual Wheel (Reuleaux triangle-Omusubi) ------ parent. If ▲ locates just on B/C/D ○, ▲ ○ form. ― pushes ○ node. One of (or both) Yellow bars is/ are hanging bar/ bars. Two ▲ exchange the B/C/D in round-robin order. ---- i.e. ▲ is like a brachiation switching hand. Orange bar is gibbon's arm itself. ■ In this method, the slant chassis is OK. (i.e. Node A ● is the end of the slant chassis.) | ＼ / slant stick | / ＼ | / ＼ | / ／ | ● ／ | ／ ■ A-GA ⊥ the ground ----- Please prove mathematically. --- this is easy problem. ■ Initial Condition To start this system, you sholud set one ▲ on one ○ (=B/C/D) by your hand. This is the initial condition of the wheel. (Analogy: The player of high bar must catch the bar, first.) Further, Please add the Grip-on/ off control. (On orange-bar± 60° angle point (or pink-bar = horizontal ), Exchange grip-on ⇔ grip-off.) [ In Z0H interval, two hands move reverse direction, in HI interval , both move same direction. In HI interval, two hands and node A are just on the equilateral-triangle corners. ] Orange range : from -60° to +60°. Pink range: -180° ～ +180°. ◥ valve/ ratchet mechanism will be useful.