On Thu, Aug 1, 2013 at 2:19 PM, frank zubek <email@example.com> wrote:
> Kirby wrote; > That's why she says "square root of 2 cubed" because the model of 3rd > powering is cube shaped. > - -------------------------------------------------------- > So sqr2 cubed = 2.828427125/1.060660172=3 >
I wouldn't say that. sqr2 "cubed" is sqr2 x sqr2 x sqr2.
Anything "cubed" is times itself once (2 x 2) then again (2 x 2) x 2.
The multiplication operator is applied twice.
Note that we have notions of powering in mathematics that are not geometrically represented.
Permutations may be powered, hundreds of times, before they come back to their original selves. They go into orbit.
RSA works on this principle:
a) raise m (plaintext message) to some power e modulo N to get c (ciphertext)
b) then raise c to power e * d mod N and you're pack to message m.
From OSCON last week, this picture, a slide from a talk on Discrete Math from a sector of the economy that goes begging to fill its vacancies:
What's a picture of 3 x 3 x 3? Most people hold up a picture of a cube, 3 on each side.
But the 3-frequency tetrahedron made of four balls along each edge, subdivides into an IVM, a scaffolding, of smaller tetrahedra and octahedra. If you add up those volumes (no holes) you get 27. Tetrahedron = 1. Octahedron = 4. Together, these fill all space.
Same IDENTICAL cubes have SAME volumes period. > > frank >
Says who? You? You forbid me to develop along this other branch of mathematics? By what reasoning, if any?
How many Xs? XXXXX XXXXX XXXXX
Some say "15" but that's in base 10. Did we have to use base 10? In Base 7, their number is "21".
When I multiply 3 x 3 x 3, I have a choice as to which language game I want to work in. I've got the XYZ channel and the IVM channel. In the former, I see a cube of volume 27, in the latter I see a tetrahedron of volume 27.