@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 don’t know what the fuck we’re doing.
@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 don’t know what the fuck we’re doing.