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Consider a sphere and cube with the same center and volume. As the number of dimensions increases the volume of their intersection goes...

Suppose any two volumes with one properly contained within the other. As the number of dimensions increases the relative volume of the...

I host games here and there (darts, cards) and I keep running up against discrepancies for "what should happen in scenario X". My...

Louis Pasteur (of the vaccination fame) separated racemic mixture of tartaric acid by drying it out and patiently sorting crystals under...

The local Villa Kitty has 808 housecats.

With unlimited resources, one billion housecats, would require something like 100 million houses and carers. That would solve the...

One may often read that mathematical knots (closed curves) can't exist in a 4D Euclidean space. More precisely, they would all "fall...

9x + 0.9x + 0.09x ... = 10x But I didn't figure that out in advance. The data is vague, there's only one significant figure, so I...

Each female per year produces about 18 offspring. She will continue to do this for some number of years. Grandparents and older are so...

10x per year.

After thirteen years five quadrillion housecats would cover the surface of the Earth. Further reproduction would be inhibited as the...

If they were then after seven years you would have at most 100 housecats.

I once heard Michio Kaku hold forth on quantum computing on television. He spoke with confidence but it was totally wrong. He didn't...

Start with one hundred housecats. Given unlimited resources, in seven years you will have a billion housecats.

Leading mathematician is pro-AI for research. It's "excellent" for certain things such as literature search. He's used it to help with...