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Replying to @JDHamkins
Now the obvious exercise is: use a computer algebra system and elimination theory to derive an (implicit) algebraic equation for this curve.
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Replying to @gro_tsen @JDHamkins
It should consist of setting up 2 indeterminates for the coords of each point, one equation for each link fixing the distance between extremities, and eliminate everything except the one point being plotted. But I find too many variables or not enough equations, so I'm confused.
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Replying to @gro_tsen @JDHamkins
This linkage is composed by parallelogram and anti-parallelogram. Linkage of parallelogram and anti-parallelogram replace each other at a state(see the video).pic.twitter.com/hnhuP40gWm
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上木 敬士郎/Keishiro Ueki Retweeted 上木 敬士郎/Keishiro Ueki
In this animation, for keeping graphs, linkage was defined by properties of parallelogram and anti, not "distance of point to point are constant" I'm not good at English, so I may not have understood your writing correctly. This is how to make it.https://twitter.com/ChocoLinkage/status/1174966593429753856?s=19 …
上木 敬士郎/Keishiro Ueki added,
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bgc Retweeted bgc
Thank you! We were eventually able to come up with two different sets of explicit equations for the teardrop shape, see this linked tweet and the thread above it!https://twitter.com/blockspins/status/1175155013431246849 …
bgc added,
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Your welcome. I respect you because I'm not familiar with math... I'm a student studying for university entrance exam. I want to study math likes you talks in university.
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Best of luck! In my experience learning mathematics is a long and difficult but ultimately very rewarding journey. Keep sharing your linkages – they are fascinating illustrations of phenomena leading to deep math (singularities, moduli spaces) that can be appreciated by anyone!
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