Quote from: Anders on July 08, 2014, 07:20:11 PM

Quote from: DannyHamilton on July 08, 2014, 07:14:07 PM

Quote from: jonald_fyookball on July 08, 2014, 07:07:53 PM

I don't think there can be an infinite number of merkle trees with a 1MB block size limit.

True.

It can't be any more than 2^8,000,000 possible merkle tree variations (8 bits per byte, 1 million bytes)

Want to convert that into base 10 for me? My calculator won't do it.

Decimal approximation: 7.5612130194946271264814592984191480373499754082086168... × 10^8428839

http://www.wolframalpha.com/input/?i=2^28%2C000%2C000

Grin

Given that there are an estimated 10⁸⁰ particles in the known universe, and the estimated number of grains of sand that the entire known universe could hold (given average size of a grain of sand) is estimated at 10⁹⁰, and the quantity of planck volumes that would fit in the known universe is approximately 10¹⁸³, I think we've reached the point where the number of possibilities are indistinguishable from infinite.