But not pure fractals , as organic has .
Fractals , organically , represent the whole of .
As written in very plain understandable English just before that list of both inorganic and organic examples it reads (with minor excision):But not pure fractals , as organic has .
Fractals , organically , represent the whole of .
No comprende amigo? That Wikipedia text matches what I wrote back in #96. You don't like it, well take it up with them. As I suggested earlier.Natural phenomena with fractal features....
Approximate fractals found in nature display self-similarity over extended, but finite, scale ranges.
As written in very plain understandable English just before that list of both inorganic and organic examples it reads (with minor excision):
No comprende amigo? That Wikipedia text matches what I wrote back in #96. You don't like it, well take it up with them. As I suggested earlier.
What a glass on the table experiences.
The table could be a mile thick and the glass doesn't know it. All it knows it the zero thickness surface.
You couldn't define such a surface. If you froze a moment in time the surface would consist of a finite number of atoms at within a certain depth range. A surface IS a surface because of the electromagnetic fields of the atoms within a certain thickness create the illusion of a "hard" surface that other things with surfaces bounce off.
It is NOT a two-dimensional phenomenon. It's very three-dimensional.
It's vital not to confuse idealized mathematical abstractions with what physics tells us about the actual world.
There is no 2-d surface except in your mind. If you zoomed in you'd see a cloud of atoms and you couldn't draw a strict demarcation between table and not-table.
Okay. What would be its volume?The reason I brought this extension up is that we were discussing mathematical abstractions colliding with physical realities. Here we have both I think....
With this sphere of infinitesimal diameter you have a mathematical abstraction that could be deemed a physical reality. ( sort of)
Heh. What you mean is "nuh uh!"Irrelevant to this discussion , of 2D into 3D .
What??? Don't be silly!Disagree
Fractals , examples of fractals are always based on life .
Give me a fractal that is inorganic .
Heh. What you mean is "nuh uh!"
The only irrelevant thing is your insistence on not understanding.
What??? Don't be silly!
Fractal life is certainly popular.But some of us read beyond popular.
Someone here mentioned "infinitesimal" element of volume. This has relativistic consequences. The universe is not static like geometry.Thread derailment has started...
Someone here mentioned "infinitesimal" element of volume. This has relativistic consequences. The universe is not static like geometry. QQ's previous rhread eventually got around to discussing time. Not derailing it. Taking a short cut.
Someone here mentioned "infinitesimal" element of volume. This has relativistic consequences. The universe is not static like geometry.
QQ's previous rhread eventually got around to discussing time. Not derailing it. Taking a short cut.
Don't really care about rolled up cylinders or other crazy geometries. A volume has consequences. Even a relativistic rolled up cylinder will have different vplumes depending on orientation. How is this not relevantl?
https://nerdyjokes.wordpress.com/tag/banach-tarski-paradox/Infinitesimal!!!
This word has evoked significant interest here on SF.
Please note infinitesimal has no physical meaning or relevance other than usage in mathematical models. They help us in doing calculus easily.
For example if volume charge density is given (uniform or otherwise), then calculating the total charge contained in a volume may be easily done by considering the infinitesimal element of volume "dV". Do not attach any further significance to this.
and if you kept on zooming in you would eventually observe nothing at all...(zero dim.)If you zoomed in you'd see a cloud of atoms and you couldn't draw a strict demarcation between table and not-table.
A physicist would say the table has no surface. The atoms are just places that electrons can interact with protons. When you touch the "surface" of a table, there are electrons interacting across space. There is no surface.