Penrose tiling

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 From:  Frenchy Pilou (PILOU)
2456.1 
Beginning of a little research ;)
I have in idea to adapt something in 3D no periodic tiling from the 2D non periodic tiling :)
Maybe I have miss some start combinations centers : of course Moi file linked :) (must be not superimposed by rotation)
Roger Penrose http://en.wikipedia.org/wiki/Penrose_tiling

EDITED: 2 Mar 2009 by PILOU

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 From:  speedy (AL2000)
2456.2 
Hi Frenchy and Friends
I of the forms am interested me also
obtainable with the theory of the spatial fragmentation of Penrose,
this that I send to you is an exercise, applying these concepts to of the fantasy forms,
in this case flat,soon send you also an exercise of spatial composition 3d with the same ones-
best
al
Sorry for my bad English
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 From:  Frenchy Pilou (PILOU)
2456.3 
Cool try :)
I believe first make something like this in plan 2D/3D then adapt that to the 3D space ;) http://moi3d.com/forum/messages.php?webtag=MOI&msg=2352.1
With a Penrose tiling of course:)

EDITED: 2 Mar 2009 by PILOU

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 From:  PaQ
2456.4 In reply to 2456.3 
comprends rien mais c'est très sympa :)
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 From:  Frenchy Pilou (PILOU)
2456.5 In reply to 2456.4 
@PaQ
le truc rigolo c'est que cela pave le plan de motifs non périodiques alors que l'on utilise toujours les deux même petits modules!)

The funny thing is that tiling the plan with no periodic pattern with only two same little modules!)

EDITED: 2 Mar 2009 by PILOU

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 From:  speedy (AL2000)
2456.6 
@PaQ
it is a tassellazione of the space that leaves from mathematical rules, the Gold Section,
and by means of details combinations it affords to fill up the space -in synthetic way-
I send a more explanatory example ,I hope-
al
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 From:  Frenchy Pilou (PILOU)
2456.7 
Some constructions :) (2 forms linked for play with it inside Moi) :)

EDITED: 3 Mar 2009 by PILOU


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 From:  Frenchy Pilou (PILOU)
2456.8 
A cool result : TopMod accepts the Ngones! (format OBJ)
http://www.topmod3d.org/
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 From:  speedy (AL2000)
2456.9 
My Friends
This is one 3d/ combination
best
al
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 From:  PaQ
2456.10 In reply to 2456.5 
Hi Pilou,

How do you generate this image ?
http://tilings.math.uni-bielefeld.de/Files/Penrose_patch_0.gif
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 From:  Frenchy Pilou (PILOU)
2456.11 In reply to 2456.10 
@ PAQ It's not me!...
But in the past when I was a basic coder on Atari, very long time ago :) just draw with randomize the images' forms shown on the first post
The trick was to draw it at the good intersection's point! ;)
Like this one :) (it don't use the same trick :)
Bob http://stephencollins.net/penrose/
this one is made by me with the program Bob above! :)


This one is more powerful
An astonishing Penrose Program !
http://www.westmaster.com/zidek/research/

EDITED: 4 Mar 2009 by PILOU

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 From:  Mip (VINC)
2456.12 In reply to 2456.11 
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 From:  Frenchy Pilou (PILOU)
2456.13 In reply to 2456.12 
@ Minc : Thx! cool periodic tilling!

Here a Lino maker :) http://www.protozone.net/ASHOCK/AJLino.html
A funny circle one http://www.geocities.com/SoHo/Exhibit/8033/room/circle2/mcircle.html

See the Art part! http://www.dartmouth.edu/~matc/math5.pattern/syllabus.html

About Penrose Tiling ;)
http://www.ics.uci.edu/~eppstein/junkyard/penrose.html !!!

An astonishing penrose Program !
http://www.westmaster.com/zidek/research/

And this fascinating Muqarnas !!! http://www.tamabi.ac.jp/idd/shiro/muqarnas/default.htm

Have fun Tiling!

PS Don't miss this true gem!!! 2 progs: one online bottom page for conform deformation with formula
and the other : the incredible Knots bag
(scrool the page for see magnificious images of the prog!
http://pagesperso-orange.fr/hypatiasoft/F_index.html french
http://pagesperso-orange.fr/hypatiasoft/index.html english



Here the Zbrush.fr Home page image with the Online Conform deformation (repeat 5 times) :)
Amazing is't it?


Here the Moi Home Page :) All with the formula Z^2*3 repeat sometimes :)

EDITED: 4 Mar 2009 by PILOU

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