Was going to save this for the monday morning but;
Firstly, for those who don't already know, 1 googol = 10^100 (the digit 1 followed by 100 zeros.)
Googol was coined in 1938 by the son of an American Mathematician and now is used to teach mathematics. Although it has no practical uses, it was created to illustrate the difference between and unimaginably large numer and infinity.
The interesting thing about this number is that a googol of anything would not fit in the known universe, not even a googol of atoms. However numbers this large are used regually in computing.
A googol is greater than the number of particles in the known universe, which have been estimated at between 10^72 up to 10^87.
A googolhedron is a three-dimensional shape bounded by 10^100 similar polygons. Because of this great many number of polygons, this shape would look very much like a sphere. Having this many sides or facets would make it smoother than any man made object. There can, however, never actually be a googolhedron because there are not a googol particles in the universe.
A googolplex is 1 followed by a googol of zeroes, or ten raised to the power of a googol: 10^googol = 10^10^100
Since a googol plus 1 is the number of digits in a googolplex, it would therefore not be possible to write down or store the digits of a googolplex in decimal notation, even if all the matter in the known universe were converted into paper and ink or disk drives.
Am I geeky for being fascinated by this?
Firstly, for those who don't already know, 1 googol = 10^100 (the digit 1 followed by 100 zeros.)
Googol was coined in 1938 by the son of an American Mathematician and now is used to teach mathematics. Although it has no practical uses, it was created to illustrate the difference between and unimaginably large numer and infinity.
The interesting thing about this number is that a googol of anything would not fit in the known universe, not even a googol of atoms. However numbers this large are used regually in computing.
A googol is greater than the number of particles in the known universe, which have been estimated at between 10^72 up to 10^87.
A googolhedron is a three-dimensional shape bounded by 10^100 similar polygons. Because of this great many number of polygons, this shape would look very much like a sphere. Having this many sides or facets would make it smoother than any man made object. There can, however, never actually be a googolhedron because there are not a googol particles in the universe.
A googolplex is 1 followed by a googol of zeroes, or ten raised to the power of a googol: 10^googol = 10^10^100
Since a googol plus 1 is the number of digits in a googolplex, it would therefore not be possible to write down or store the digits of a googolplex in decimal notation, even if all the matter in the known universe were converted into paper and ink or disk drives.
Am I geeky for being fascinated by this?
