Contains everything
The Box is the cosmological object that contains everything. Regardless of internal properties, it is in the Box, for any value of "it".
A quadrillion times more than a metric fuckton.
Wow thereâs a lot of metric petafucktons of shit here
Grahamâs number is a number invented by Ronald Graham. In order to explain what it is, the notation must be understood. Itâs called up-arrow notation, denoted by the â symbol. One up-arrow just denotes that the second number is an exponent. For example, 3â3 is 3^3, or 27. Using two arrow creates the fourth thing in the sequence of addition, multiplication, and exponentiation. Some call this math operation tetration. 3ââ3 is 3^(3^3), 3^27, or 7,625,597,484,987. Using a third arrow, you can probably predict what happens. 3âââ3 is 3ââ(3ââ3), or 3ââ7,625,597,484,987. This means that you have (3^(3^(3^(...(3^3)...)))), and there are 7,625,597,484,987 3âs. For perspective, 3ââ4, or 3^7,625,597,484,987, contains 3,638,334,640,024 digits. Iâm not kidding, that is the actual number of digits, compute it using the Big Online Calculator. And yet, despite how far blown out of proportion this thing has been, itâs still not large enough. We need a fourth arrow. Donât even get me started on the size of 3ââââ3, or 3âââ(3âââ3). And that number is called G(1). G(2) is 3âââ...âââ3. There are G(1) arrows. G(3) is 3âââ...âââ3, with G(2) 3âs. You get it now? Grahamâs number is defined as G(64). And despite its immense size, it actually has a purpose. Suppose you had higher-dimensional hypercubes, and you had two colors for edges, and you wanted to know how many dimensions it took before a square where all lines were the same color was forced. The upper bound on that answer is Grahamâs number.
Grahamâs number is a number which was once considered the largest of all time.
14👍 2👎