Sated by the throat wobbly table at a local cafeteria, and now says that science has proven - a square table with four legs can always stabilize the rotation on the uneven surface is less than 90 degrees.
Fearing shed coffee, every time Martin turned the table to find a stable position so that all four feet firmly on the ground. "I've always been able to find at least one such situation - he says - sometimes people are surprised that my method works."
For the first time to prove his theory of the physicist tried a decade ago, then tried in 1998, but in both cases, realized that there was absolutely right.
Now, Martin is well prepared and resolved to present their work to the scientific community. The proof with pictures and darkness formulas can be found in this PDF-document , 108 kilobytes.
To describe the problem mathematically, the scientist had to make some assumptions and simplifications. Thus, he considered only the tables with legs in the corners of the square and suggested that each foot touches the ground only at a single point.
In addition, land in the theory of Martin having any number of irregularities, however, has no significant changes in height: the slope between any two points on the surface never exceeds 15 degrees.
In meeting the above conditions scientist is ready to "calm down" table. In the future, Martin will try to deal with the stability of non-square tables.
Fearing shed coffee, every time Martin turned the table to find a stable position so that all four feet firmly on the ground. "I've always been able to find at least one such situation - he says - sometimes people are surprised that my method works."
For the first time to prove his theory of the physicist tried a decade ago, then tried in 1998, but in both cases, realized that there was absolutely right.
Now, Martin is well prepared and resolved to present their work to the scientific community. The proof with pictures and darkness formulas can be found in this PDF-document , 108 kilobytes.
To describe the problem mathematically, the scientist had to make some assumptions and simplifications. Thus, he considered only the tables with legs in the corners of the square and suggested that each foot touches the ground only at a single point.
In addition, land in the theory of Martin having any number of irregularities, however, has no significant changes in height: the slope between any two points on the surface never exceeds 15 degrees.
In meeting the above conditions scientist is ready to "calm down" table. In the future, Martin will try to deal with the stability of non-square tables.
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