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asifsound wrote:■ Exact straight line Axis trace apparatus.

Pentagon wheel sample is next.
This is an about-picture.
Hart's A-frame linkage application.

■ Exact straight line Axis trace apparatus. If replace the component from Chebyshev linkage to Hart's A-frame , we can make exact straight line axis Octagon wheel easily. Keypoint: GSH' is a bent bar, this is great. Please ponder its reason. http://www5d.biglobe.ne.jp/~the_imai/etymology/...

Additional information Japanese Mr. Rascal says to me, r is the next quintic equation's root. x⁵-2x⁴-16x³-16x+32 = 0 (or s=2x, s⁵-s⁴-4s³-s+1 = 0 is equivalent.) He shows 50 decimals value. r = 5.16740772839728595747372780506339609865810833312219... e = 4.08...

Black Edges, length e=4.082845933119... Red and Blue Radials, length r=5.167407728397... Thank you for so much information. I'd like to send additional information. ■ About e e = sqrt[r²-(r-2)²] = 2 sqrt(r-1) Test result under GeoGebra Option "Rounding": 15 Decimal Places In a...

Inner radius: 1 (or axle diameter 2) Edge-length: 4.0828459... Radial-length: 5.1674077... What's your plan with this mechanism? Thank you for your answer. Your new ratio of bars is very good/ excellent. I've wanted such answer, You are great. (I tried to get such no-kink ratio, but I failed.) Plea...

I've challenged to make the GIF animation by Google Photo like a "Prof. ME".
Thank you Prof. ME.

>As it's usually much nicer to see such walker in an animated loop, here's my attempt (smaller to reduce file size).

→ Thanks a lot to "ME".
Your are a great animation maker.

I've invented octagon wheel (discrete wheel). I'd like to introduce to you. This is application of Chebyshev Linkage (= almost straight line drawing mechanism). http://www5d.biglobe.ne.jp/~the_imai/etymology/Rolling_Cheby_Last.gif Demonstration URL is next. https://www.geogebra.org/m/kq8dr2JY Please...

I submit Peaucellier Linkage Wheel again.
new one.




http://www5d.biglobe.ne.jp/~the_imai/et ... ganei.html

I hope you find this informative. Peaucellier's linkage mechanism becomes a walking wheel. Peaucellier's Linkage Wheel (with 4 legs)　---- One application apparatus. ( The red bullet is an axis of wheel. ) http://www5d.biglobe.ne.jp/~the_imai/etymology/Trace_Peaucellier_wheel.gif (Picture ...