edanet
Sat, Jun 6, 2009
New Geometry - Developable Sphidron Sphere
Scientific Sensation

As you can see, four touching sphere's sphidronized polygon 'side' can be unrolled into planar surfaces if we cut them into thin and spirally rotated ligamental bows. The result will be four planar surfaces. The same four planar surfaces i.e. fractal-sided polygons can create a simple sphere if we join them by their sides instead of their middlepoints. The spherical twisted sphidronnests are the solutions of the ancient problem of the metrically correct mapping. The picture below is made by mathematical algorithms, which were created by Janos ErdÅ‘s. He was listening my ideas and succeed to transform the narrative into mathematical expressions. The result is a "3D" picture. In this way the 3 kinds of expression could be presented in one process: Narrative, mathematics and picture. Surprisingly the final consequence of this "3D" fenomena is that the 3rd dimension IS NOT an Euclidean Dimension. It is something else, what we can suspect as a trauma of perception of the fetus, who cam out from the total safety of mother's womb and water of life. As the baby is delivered the shock of gravitation causes a trauma of perception and makes the change of brain. The eye start to see double and sees something what have never existed: the third dimension. The real physical content of the "3D" or we can say: the third dimension is a 'simple property" of the embedding physical space. The GRAVITATION.
In a word: The real structure of the so called space is the following: Two-dimensional Euclidean plane in an "n-dimensional" embedding physical "space". The first physical dimension we can experience is the gravitation. Yes, we are residents of a flatland. Everybody is folded like an origami and the first shock after birth causes the illusion of the third dimension, which - in reality the Gravity itself. All other dimension can be real, including the 3rd 4th or the time itself, but they are only embedding physical ones. If you don't believe us, please look after the anomalies in wolfram's pages, especially the http://mathworld.wolfram.com/  ! An example: the Banach-Starsky paradox. Our - The Spidron Team's - theory implies answer to that problem too, among others.

It is breathtaking that Ms Schelley Heath found the Sphidron sphere intuitively just recently. We found her extraordinary work on the web by chance:

Celestial Cyclon on page:
http://www.redbubble.com/people/bundygal/art/641334-6-celestial-cyclone

Look and enjoy. Maybe she was the first who described the mathematics of sphidrons. I don't know, but anyway she was the one who was able to demonstrate the other side of our development. The New Geometry,

THE DEVELOPABLE SPHIDRON SPHERE

I can hardly imagine that the perception of colors are the result of the trauma of birth, as the unity of the light can NOT BE taken apart. In darkness we see only the essence of the outer world. Normally we see everything in black and white like in our dream and in our fetal time.

Is not it a fatal error? Or fetal?

At least ;o){image 2}

Sat, Jun 6, 2009  Permanent link

collective matt     Wed, Jun 10, 2009  Permanent link
I can imagine the orbit of an electron around the nucleus, while one can predict the location of the electron we never know exactly where it is. Maybe the electron is really moving about a spidron plane, which has only been "twisted" into a sphere. Is it truly orbiting?

I haven't come across the Banach-Tarski paradox before, thanks for opening my mind in this new direction. The idea that a 2D spidron can manifest as a 3D form is interesting, and has symmetry with The Holographic principal, which states that information must be coded on boundary regions rather than within the volume itself defined by these boundaries.

Where can I find more?
edanet     Thu, Jul 30, 2009  Permanent link
thanx
I am collecting materials, for my new kind of SPhyso-math theory.
Some ideas you can readhere below:

New Concept:
The Sphaper (Sphidron-paper)
the 2D plane of the
New Sphidron Geometry.

I found some pictures of galaxies, and these made more important to describe some of my thoughts:

http://en.wikipedia.org/wiki/File:Phot-33a-05.jpg
http://en.wikipedia.org/wiki/Spiral_galaxy#Spiral_arms

Explanations how the real material is moving around the center and how the curves ov different layer circles are SLIDING around each other.

1. If we allow the "points" as to the "atoms" to have a minimal dimension in the sence of measure or volume, which is ROTATING
and

2. If we allow to the line to ROTATE around itself (in the sence of the points which are following each other on a line can ROTATE around the curves as axis) and

3. if we allow for the circular or polyhedral discs to be swirled in a way where the 1. and 2. elements can SLIDE on and around each other, and

4. if we allow to the lines (or curves) of 1. and 2. type to make spiralling movements around different centers, for example around the middlepoints of different regular polygons and circles, and

5. if we allow to the point to create different starfishes in the same vertex (or the same centers of the polygons, this way the quantity of the arms in a vertex or in the center can be changed from 1 to 2 to 3 and so on ... we need to introduce a constant which is a kind of "tolerance or flexibility, what meks possible to the "atoms" to jump over from one arm to another while the deformation and spiralling of the curves (2.) composing the surfaces (3.) - are taking place. (Look in the Proceedings BRIDGES, Banff 2009, Jim Bumgardner, page 304, and visit his website: http://www.coverpop.com/whitney)  and

6. if we extend this idea to the 3D following the two perpendicular logarithmic spiral deformation of the sphidrons, which guaranties the constant area and spherical swirling deformations of the sph(i)idronnest, and

7. if we understand well the curious movement of the spidronnest - and espcially the sph(!)idron nest, which has an extra property of SLIDING points and lines of 1. and 2. kind - where each ring has different deformation around the center and the edge's middle point (which are remaining on the baseplane of the original nest) in a way, and

8. if we understand that the sph(h)idronnests, which are crossing the centerpoint of the sphere are different from the ones which are laying on the surface of the sphere we would like to cover in a platonic and/or in an Archimedean way, as the ones which are crossing the center point of the sphere are swirling surfaces with "S" edges or loxodromes (and with points of Gaussian Curvature=0 in any point, or the the logarithmic curves are laying on a tangent plane - which is related to the Regge Calculus in the theory Quantum gravity and the low-dimensional topology > Peter Hamburger<) on the surface of the sphere, and the ones wich are on the surface of the sphere and have "C" edges after the deformation of 1. 2. and 3. kind, - as they had "S" edges before the deformation in the 2D plane.

If we can accept that this properties and conditions above are corresponding to the empiria and the observations of the "material sciences and theories" which is connecting the mathematical principles with the physical reality, WE CAN UNFOLD THE SPHERE in the 2D PLANE keeping the measures of the planar disks and WE CAN MAKE a (and more) very interesting NEW KIND OF BREATHING AND LIVING POLYHEDRA with constant surface but with changing volume, changing vertices and changing tension using the properties discriben in 1. 2. 3. 4. 5. 6. 7. and 8.

When I say "Living polyhedra" I mean that with universal tolerance the polyhedra can change freely from one shape to another. This change can be take place when the local vertices ar flat (so the starfishes of Jim have straight arms)

All the conclusions what I made are the result of three facts:

1. Sphaper (2D paper) can be bent.
2. Sphaper can be swirled around any choosen inner point
3. Sphaper with central symmetrical "S" sides can be changed in a way fro flat position, where the "S" sides are becoming spherical lines, i.e. mirror symmetrical "C"-s.

I know, there is a lot of work left to finalize this concept, maybe there are some terminological mistake in it, but I thought through a lot of times and I am certain, this will work well.

I think the Spidrons are the dead skeletons of the bending, breathing living Sphidron creatures we shall describe in the near future, with some promising properties in common.

Remark:
"There is no hole in the center of the Sphidronnests."

Thank you for your kind attention, any remark is very welcome

Daniel Erdely
www.spidron.hu