With my teacher, Erno Rubik, in Atlanta at G4G13

SPIXEL Development



Spitron Bog presented

Tue, Jun 19, 2018  Permanent link

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New period of the Spidron sculpture

After a huge restoration it was hanged up in a furniture shop Csigó Mill, at Lake Balaton, Gyulakeszi, Hungary. I am going to sell it. If anybody is interested, please write to me: daniel.erdely@gmail.com. It could be a very elegant installation in a new hotel or airport.

Wed, Aug 5, 2015  Permanent link

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On Spidrons (from 2007)

A catalog piece, especially if one is writing it for one’s own catalog, allows too much freedom for the author. In many cases, the text is a formulation of thoughts that only serve to underline messages already communicated by the exhibition or the works once more, and needlessly. I would like to avoid that mistake and so I only make use of this opportunity in order to realize two distinct objectives.
The first one is to document, as far as possible, the development of the Spidron as innovation, as it pertains to names, to persons. The second is to settle a long-standing debt by finally defining what I/we understand the Spidron to be. I attempted to complete the first task in the text and images of the thirty-two pages of this brochure.
I shall attempt the second one below.
The real source of the Spidron is an old family name that has been changed, the name ‘Spitzer’. I have not revealed this before and instead offered the words ‘spider’ and ‘spiral’ as an explanation. The ‘-on’ at the end of the word follows Greek nouns, where a many-sided plain figure and a geometric body are called a polygon and a polyhedron.
Is the Spidron a polygon? As I often say, a Spidron arm is a spiraling formation constructed from a sequence of two kinds of triangles (usually isosceles ones). It is not possible to specify the number of its vertices or sides. Its area and circumference can be determined in the limit, but no matter how large or small a piece of it we take, it can always be extended by additional triangles. As professor of quantum logic Gyula Fáy put it, the Spidron is a process. It is a procedure in which, like the tower of Babel, the building of Spidrons can be continued as long as we want. The starting point can be set arbitrarily. The ratios of angles and lengths are the crucial aspects. Those ratios are constant and ever-present in the Spidron formations. The Spidron-arm cannot be finished, but it can be given a starting point with a clever trick: I can pick one triangle and declare that it will be the first and largest one. In order to prevent the addition of an even larger one, I can reflect the entire spiral formation across the base of that triangle. If it is a central reflection, I get the form we initially called the Spidron. If it is a mirror reflection, we get a figure like a pair of horns, which we have called the Hornflake. Various versions of those two figures fill the world of Spidrons. Those Spidron arms can be used to construct extraordinary shapes in the plane and in space. Our research ranges from plane tilings and regular and semi-regular solids through saddle surfaces and to the investigation of special, aperiodic tilings and quasi-crystals.
But the process induced by the subject of our shared thinking—which happens to be the Spidron, this time—in various human communities is at least as interesting. It generates action groups, provokes arguments and often results in striking scientific and aesthetic qualities.
It was particularly astonishing for many people that it can be used to create structures with an entirely novel kind of movement.
The Spidron has defined a position. I hope that sooner or later, through processes of their own, others will also be able to occupy that position.
At last, others may also achieve their rightful positions.

Sun, Mar 10, 2013  Permanent link

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Some Sketches on Geometrical Problems

Tue, Feb 15, 2011  Permanent link

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New Ideas on Sphidrons

Wonderful work of my new colleague, Torolf Sauerman



Interesting symmetry property of the spidronnest



Spidron Surface, we made in 2009 with Walt van Ballegooijen



Sphidron segment



Sphidron Sardinia

Fri, Jan 21, 2011  Permanent link

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Freedom for Geréb Ági, Unconditionally and NOW!

Home-birth Midwife Ágnes Geréb Jailed in Hungary - Take Action Now!

http://www.guardian.co.uk/world/2010/oct/22/hungary-midwife-agnes-gereb-home-birth



NOW! Freedom for Gereb Agi! The Midwife of Every 1000th Hungarian Citizen!

The issue of midwife-assisted planned home-birth has been unresolved in Hungary for a long time. Despite well over ten years of efforts by activists, the area is still not regulated at all. Dr. Ágnes Geréb, qualified obstetrician and independent midwife, has been attending home births in a legal vacuum for two decades. On Tuesday, October 5th, she was arrested and placed in remand custody after an a controversial incident whose exact details are as yet unclear. She is used to persecution as she has had her obstetrician's licence suspended in dubious circumstances and criminal proceedings are in progress against her based on other highly contested incidents, but this is the first time she was actually put in jail and paraded in handcuffs and ankle chains in court. She awaits her court hearings on old and new charges in almost complete isolation, without access to a phone and without visitors. The Hungarian "experts" testifying against her are hospital obstetricians with little knowledge and no first-hand experience of midwife-assisted out-of-hospital birth who are largely unaware of the scientific evidence on the subject. It is not unreasonable to suppose that the witch-hunt is orchestrated by the lobby of gynecologists and obstetricians who are misinformed about the subject and who are also protecting their dominance of the field along with their vested financial interests.

Freedom for Geréb Ági, Unconditionally and NOW!

The statement below was issued by Physicians for Freedom and Safety in Childbirth, an organisation of Hungarian doctors who promote choice and safety in childbirth.




Thank you for Imre Szebik for composing and to my Friend, Balazs for translating this text!

Thu, Oct 14, 2010  Permanent link

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Looks Hyperbolic, But it is The Real Plane

Dear Friends,

You may ask about my magic hyperbolic 0 curvature disc. How come?
It looks really hyperbolic, because the surface itself is curling, but these waves are created by exact rules.
They are logarithmic golden spirals. Some of them are horizontal and the rest are perpendicular to them, preserving the horizontal spirals as axes. The axis itself is rotating (further from the center, the rotation is increasing!) so , not the "material" of the disc is changing expanding or suffering torsion, but ONLY the AXIS is changing!

This is the essence of the Sphidron deformation!

The ridges at the circumference are showing up from "material" of what? It comes from an evenly developing "material" around the whole circumference. It means that the disc itself is only a representation of a larger disc. There is no measure of it. This way the change what you can experience as curling the surface is simply a wider part of the same surface. It is the proof of the characteristic of the plane. We have to accept that the plane is not plane, and the line is not a line, as well as the point is not a point. Those definitions of Euclides are good for learning, but they are not corresponding to the reality. Not at all. But try to use logarithmic golden spirals instead of compass and ruler. Everything will be fine, and you don't meet any irrational relation anymore. This is the button we need on each computer: Spidronise! End on all plans and drawings all data will get a common divisor.

I tried! The Pythagorean Theorem is remaining truth is spite of sphidron deformation. Regarding only the vertices of the three squares around the right angle triangle, it preserves the angles and the ratios, for sure, while the figure is rotating and shrinkind as a whole! It is the result of the "planar" logarithmic golden curves on which the points of the original triangle are laying and running simultaneously.You must be smart, but it works after a while. I can show how.

Have a look, here:
http://spacecollective.org/edanet/5719/Pythagorean-Theorem-in-the-Third-Dimension

Excuse me for my poor English!

Best Regards
Daniel



Picture by Janos Erdos


And here we are with my brother, Gyuri (on the left), 30 years before.
He just finished his military service what was obligatory in that times.

Good Luck!

Sun, Aug 15, 2010  Permanent link

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Stephen Wolfram did not Consider the Torsionles Deformations of the Plain Disk that are Characteristic to its Extension.

At least in his book, Published in 2002 and spread worldwide since then.
After I contacted his Company, Wolfram Research Ins., which is the developer of the famous software, Mathematica, I informed them about my new invention in 2009. This is the SpHidron deformation, based on my own 30 years long research of Spidrons. You can see examples of this new kind of deformation below in this page.


This series of possible deformations does not contain my SpHidron deformation.

He and his company did not want to publish anything about Spidrons, saying there is no scientific publication about the topic, what is actually not true, as we with my colleagues, The Spidron Team published several papers in the Proceedings of the World Conference on Art and Math - BRIDGES, and we published a paper with Mr. Lajos Szilassi in the Publication of the University of Pecs and Karlsruhe in 2004:

There was published my website also in the MathForum in 2004:http://mathforum.org/electronic.newsletter/mf.intnews9.51.html

After more mail we changed, Mr. Eric Weisstein erased the only link to my old webpage, disappearing all informations from their web portal, while he and his colleagues are publishing different articles close to my investigations. I decided to go to Atlanta, to talk personally with Mr. Stephen Wolfram. I asked him to give me some minutes to clarify the situation on the first day I arrived to the Gathering for Gardner 9, where he was an invited speaker. He said, ok, but until the last day he did not came to me, in spite I was always around in this small space of the Conference, and the garden party we were invited together to Tom Rodges house. On the last day I asked a nice man to give to Stephen my business card, and tell him that it is my note on the back of the little card. I wrote to Stephen asking his pardon for my rude manner when I wrote to his colleagues after asking them to actualize my spidron links. They did not, but I reacted it too angrily, so I thought it is the best to ask Mr. Wolfram excuse. After returning home I tried to send again the paper on spidrons and I got a mail from the company, saying that they can not open the pdf file. At that moment I sent the file to the gentleman who helped me to contact Stephen in Atlanta, asking him to forward my file to the Wolfram Research. Till then I have no reaction from them, only I had to experience, that my old link also disappeared.

More SpHidron Creatures & Sketches After G4G9


Complex SpHidron deformation around vortexes on different intersecting planes


Deformations around th origo of 3 2-dimensional planes


Sketch on the transfer of the SpHidron deformation at the edge of the intersecting planes


Nicely deforming planar disc around four logarithmic SpHidron arms


Mathematical theoretical remarks on the even an simultenous Sphidron deformations

Wed, Apr 14, 2010  Permanent link

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Newest Creatures of the SpHidron World

Surface is laying on some logarithmic spiral arms. 20 of it can fill the surface of the Sphere, like in the case of a icosahedron. But - to be honest - I don't believe in sphere, as they are simply doubled toruses. Torus has axis just like my creature has.




Inside of this shape is 1/20 of the volume of a "sphere". But this "sphere" does not have an absolute size.




First trial to make a Sphidronized Octahedron




First trial to make a Sphidronized Icosahedron




First trial to make a Sphidronized Octahedron




Dual Creature of the SpH World

Thu, Apr 1, 2010  Permanent link

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Pythagorean Theorem in the Third Dimension

I guess I have found the only possible 3D deformation of the Euclidean plane which - regarding of the 9 vertices of the basic shapes of the Pythagorean Theorem, like the triangle and the squares - is preserving the validity of the theorem. The triangle in the 2D plane is rotating and shrinking, but its proportions and angles don't change. I tried to make some drawings to demonstrate this interesting swirling deformation below.


This picture shows how to make SpHidron deformation from the classical Spidron deformation


The arms of the Sphidron disc are rotating around themselves. The longer distance from the center increases the measure of the rotation. Here the change of the rotation is continuous while in the case of Spidrons it is discrete.


In between every pair of twirled arms must be another arm which like the twirled ones remains in one plane but it isn't not rotating around itself - like an axis - during this deformation.




The spiral arms one by one remain on their own plane, but these planes on which they lie on can be lifted up and pushed down alternately. This way you can make more and more dense surfaces in the same volume.




To make this deformation possible, you have to change your previous imaginations on the plane. It is a little more complicated, as the elements of the plane are not points with no dimension, but they do have dimensions, what make possible their rotation and sliding. While two of the neighboring "spoints" remain neighbors, the rest of them can be changed. Just like in the case of a simple pearl-string where every bounce has only and maximum two permanent neighbors.



Copyright 2009 -2010
Drawings by D Erdely, computer visualization by Janos Erdos

Mon, Mar 15, 2010  Permanent link

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