The extent of variation
I have a favorite little book , written in a poetic style, called "Dirt",
by William Bryant Logan. In one part, during a discussion of the
composition of humus, the dark organic part of soil, a comment
was made that, there are probably no two molecules of humus
alike on the entire earth. That is how varied soil is, but this amount
of variety is common in the world we live. Crumple up a piece of
paper and spread it out flat on a table, look at the pattern of crease
lines, that exact natural pattern has never existed before in history
and never will again in the future. Use a pencil to blindly scribble a
pattern on a piece of paper, again you have generated a pattern
that has never existed before, measure each line-crossing in degrees,
from 1 to 90 degrees for a perpendicular crossing. If you have 50
line crossings, there will be 90 to the 50th power number
of possible scribbles. That is, 90 multiplied by it's self 50 times.
If you measure more accurately, say, one hundredth of a dregree
then you would have 900 to the 50th power possible scribbles.
Proteins with 20 constituent amino acids are another extremely
varied system.
