A cool thing is, you can achieve the same effect by rotating the table in a circle (if possible) until you find a stable angle, since for 4 points on a circle there has to exist at least one rotation angle where they are on the same elevation.
Is there mathematical proof for this? It sounds like it could be true, but also sounds like you could actively create a floor which it wasnโt true for
This is one of those things that works in a simulated environment but not in practice in the real world.
Yes there is. The wobbly table theroem. https://people.math.harvard.edu/~knill/teaching/math1a_2011/exhibits/wobblytable/
Iโm pretty sure this doesnโt account for any floor that isnโt a flat plane.
It doesnโt require a flat plane ground, but it does require the table legs to be equal in length
Do you know for a four legs table no matter the floor it sits on. There is always a rotational position where all itโs legs touch ground at the same level.
For circular tables that are uneven you can just rotate the table until it sits right.
For square tables you may check the 90ยฐ angles to see if you are lucky.
Edit: This theory works with even legs + uneven (bumpy) floors. For your own safety do not test this the other way around.
Thatโs just so wildly not true that I canโt believe you didnโt work it out for yourself in the time it took you to type that up.
To test your theory, envision a floor that is a perfectly level pane of glass. Then picture a 4 legged table where one leg is just an eighth inch shorter than the other 3.
You can spin that table all day and thereโs never going to be a position where it doesnโt wobble.
@daniskarma@lemmy.dbzer0.com is citing a mathematical proof that basically states if you have a table whose feet form 4 points on a flat rectangle, that table can find a stable resting spot anywhere on an uneven surface only by rotating the table, you do not have to translate the table, only rotate it.
Your example, while practical, breaks that model because it only works if the continuous surface is uneven and the four independent points are coplaner. If you make the reverse true, with a table that has 4 even legs and put it on a floor that can be described as two triangles (what you would get if you connected 3 even length legs and one shorter) you could rotate the table to find somewhere all four legs touch.
This is why it is very important for us woodworkers to make table and chair legs the same length, or failing that, add adjustable feet, becasue us carpenters donโt know what the fuck weโre doing.
How do you fuck up posting a link so damn bad.
Youโre terrible at scamming, you should be ashamed of yourself!
Wood? I just keep folding cardboard until itโs the proper thickness.
Okay but like a shim or just a broken discarded piece of 2x4?
Or I guess the chaotic evil version of this is a twig with leaves on it.
