Who can come over?
It is a long night. We are in the kitchen.
Half past eight. Forever.
Agi
She helped over
10 000
babies to be born.
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Spidrose
It happened last February, in Wijk van Aalburg, The Netherlands
In commemoration of the 30 year anniversary of the Scientific American cover "
Theory of Tiles"(January 1977), a question was posed: Can the cover art be modified such that the tiles become Spidrons.* Each individual tile in the resulting pattern has the same area and obeys the same rules as the original tile created by Penrose & Conway. A copy has been sent to the authors, Science News and Scientific American.
* See also Science News, October 21, 2006, cover and pages 266-268.
The original Scientific American cover with Penrose Tiling In 1977
The Spidronized "Spidrose Tiling" 30 years after, in 2007
(it is an imitation of a Scientific American cover)
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Dear You!
No, not because I like speed, I am slow, because my native language is not the "universal" English, but I am one of the fastest in chat and communication on my own language, and I am also trying to be the most active and effective and prompt in English and in other types of communication language, like, art, voice, signs and others. I'd like to get help, because I'd like to speed up my understanding of you, the dreams, and the World. I think my culture and your culture can be integrated, and it is extraordinary important to share our knowledge and eat each other's food and hear each other's music and enjoy each other's theater and understand your troubles and problems and solve them together. Because, I can imagine I have a lot of things here, where I live, what you need and I could give you for nothing, and others also have their own properties and knowledge to share. I'd like to speed up our communication. I ask you to correct my mistakes, to help me to express myself properly, and I try to give and - what is more difficult sometime - I try to accept your advices, ideas and gifts, to build in my theories and projects, and this way - I am sure we shall be very-very effective in decision making and problem solving and we could enjoy our life and the treasures of this beautiful creation, together. I ask you to react, answer, correct, and cooperate! Thank you.
Let's start somehow! How are you? What is your present hope, joy and problem. How could we share and solve them here and now? Together as a collective?
Thank you for your kind attention.
This design is my present to the collective.
I hope it opens something in you, in us.
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“Spidrose” Tiles
The next interesting result is that we were able to transform Penrose tiles into plane figures delimited by special spidron edge sequences. This eliminates the need for the markers enforcing the matching rules described by Conway, this way, the rules are encoded in the shapes.
With a clever idea, Marc Pelletier replaced the edges of the darts and kites of the Penrose tilings with special Spidron edge sequences. This change makes the matching markers unnecessary.
Nicely shaped aperiodic tessellation corresponding to Penrose tiling
Definitions and remarks
Aperiodic Tile: A set of tiles that can tile the plane non-periodically,
but cannot tile the plane periodically.
Periodic Tiling: A tiling is periodic, if it can be translated in any way, which leaves the tiling invariant.
Non-periodic Tiling: A tiling which doesn't have the property of the Periodic Tiling, but the tiles, makes possible to make a periodic tiling from them.
Listen: Only the tiling can be periodic or non-periodic and only a set of tiles can be aperiodic!
Nobody have found one unique tile which is aperiodic itself. The smallest group of aperiodic tiles has two units.
(For example Penrose tiles, Goodmann-Strauss Tiles)
Matching Rules: To make a set of certain tiles aperiodic we have to add matching rules. To show and describe the matching rules, there are different ways. We can make it with coloring, with markers, but we also can do it with help of only the shape of the tiles itself.
The Spidroses above are one of the examples where we could represent the matching rules only with the shape.This tiling was presented to Mr Roger Penrose last year, who appreciated it. In 2008 in the proceedings of the the BRIDGES Conference (Leeuwarden, NE) we published a paper with Walt van Ballegooijen, where we presented Marc's idea, the spidronized Penorse tiling.
Dániel Erdély and Walt van Ballegooijen
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Design Hungary in Glass Tower.
Espace Wallonie.
On the 5th floor Spidron exhibition and symposium after the opening.
Exposition accessible du 26 septembre au 19 octobre 2008.
Ouvert du lundi au vendredi de 9h à 16h30 et le samedi de 9h à 12h30, fermé le dimanche.
Entrée libre
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There is a nice and new space-filler shape we discovered, the so called SpidroTetron. Please check how does it work! All parts are the same. it is an example of the isohedral space packing.
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Spidronized double Triamond Lattice. My friend Walt (Mr. Walt van Ballegooijen) doesn't have a rest. Always creates something new. I made this nice rendering of his model, now. The basic structure we saw in July at a Conference Bridges, Leeuwarden, where after Mr. John Conway, Mr. Chaim Goodman-Strauss and Mr. Carlo Séquin presented this lattice. We only dressed the structure with our Spidrons. This system is based on the cubic lattice as the diamond lattice does, but it is quite a different structure, and quite a new one.
We shall show more, soon...
{image 7}
{image 9}
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