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about half these authors believes pseudosphere has infinite area,other half not #817 Correcting Math #286 Atom Totality



 
 
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  #11  
Old August 22nd 10, 08:36 PM posted to sci.math,sci.physics,sci.logic,sci.astro
Archimedes Plutonium[_2_]
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Default spines of primitive pseudosphere Circular Pseudosphere Experimentversus Logarithmic Pseudosphere #828 Correcting Math #295 Atom Totality

So what, so I made a mistake in thinking I can cut a sphere into 1/8
triangles and pack them
inverted inside the original sphere with only point contacts.

But that mistake may lead to a new interesting insight. As we form
this primitive pseudosphere, what I called the circular pseudosphere
with its 4 spines. The question
arises whether these 4 spines are the surface area that sticks out of
the otherwise
mostly enclosed inverted sphere?

Archimedes Plutonium
http://www.iw.net/~a_plutonium/
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
  #12  
Old August 22nd 10, 08:52 PM posted to sci.math,sci.physics,sci.logic,sci.astro
Archimedes Plutonium[_2_]
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Default limit of inverting a sphere and enclosing? Circular PseudosphereExperiment versus Logarithmic Pseudosphere #829 Correcting Math #296 Atom Totality



Archimedes Plutonium wrote:
So what, so I made a mistake in thinking I can cut a sphere into 1/8
triangles and pack them
inverted inside the original sphere with only point contacts.

But that mistake may lead to a new interesting insight. As we form
this primitive pseudosphere, what I called the circular pseudosphere
with its 4 spines. The question
arises whether these 4 spines are the surface area that sticks out of
the otherwise
mostly enclosed inverted sphere?


If nothing else, what this proves is that the mind's eye in math or
physics is
so fallible, much of the time and that you need models to work from
and work with
to resolve issues.

Now it is obviously true that if I take a sphere and start cutting out
small triangles and
invert them that I would have remaining a enclosed inverted sphere of
small triangles.

Now if I made just one cut with two hemispheres, I could not invert
them and pack them
inside the original sphere. So somewhere between 1/2 to tiny triangles
is there a limit
to sphere cutting to where I can invert the cuts and still pack inside
the original sphere.

Is it the 1/8 triangles as that limit? And that I need a more refined
handheld model rather than
a orange cut in 8 sections?

Oddly enough, I am going to try it on two new oranges.

Archimedes Plutonium
http://www.iw.net/~a_plutonium/
whole entire Universe is just one big atom
where dots of the electron-dot-cloud are galaxies
  #13  
Old August 23rd 10, 02:47 AM posted to sci.math,sci.physics,sci.logic,sci.astro
[email protected]
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Posts: 43
Default some mistakes Circular Pseudosphere Experiment versusLogarithmic Pseudosphere #827 Correcting Math #294 Atom Totality

On Aug 22, 3:24*pm, Archimedes Plutonium
wrote:

Now I may run into trouble here visualizing this. So I need to do this
experiment
more refined.


Get a better toothpaste, Archie-Poo.
 




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