Penrose tiling

 From: Frenchy Pilou (PILOU) 1 Mar 2009  (1 of 13)
 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 Attachments:

 From: speedy (AL2000) 2 Mar 2009  (2 of 13)
 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 Image Attachments:

 From: Frenchy Pilou (PILOU) 2 Mar 2009  (3 of 13)
 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

 From: PaQ 2 Mar 2009  (4 of 13)
 2456.4 In reply to 2456.3 comprends rien mais c'est très sympa :)

 From: Frenchy Pilou (PILOU) 2 Mar 2009  (5 of 13)
 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

 From: speedy (AL2000) 2 Mar 2009  (6 of 13)
 @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 Attachments: Image Attachments:

 From: Frenchy Pilou (PILOU) 3 Mar 2009  (7 of 13)
 Some constructions :) (2 forms linked for play with it inside Moi) :) EDITED: 3 Mar 2009 by PILOU Attachments:

 From: Frenchy Pilou (PILOU) 3 Mar 2009  (8 of 13)
 A cool result : TopMod accepts the Ngones! (format OBJ) http://www.topmod3d.org/ Attachments:

 From: speedy (AL2000) 4 Mar 2009  (9 of 13)
 My Friends This is one 3d/ combination best al Image Attachments:

 From: PaQ 4 Mar 2009  (10 of 13)
 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

 From: Frenchy Pilou (PILOU) 4 Mar 2009  (11 of 13)
 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 Attachments:

 From: Mip (VINC) 4 Mar 2009  (12 of 13)
 2456.12 In reply to 2456.11 Bonjour Frenchy Pilou et PAQ, Here are some links for tessellations : http://forum.worldofescher.com/ http://www.cromp.com/tess/home.html http://www.k4.dion.ne.jp/~mnaka/work.html and, some 3D, http://www.k4.dion.ne.jp/~mnaka/layerd.html http://www.clarku.edu/~djoyce/wallpaper/seventeen.html en français : http://ens.math.univ-montp2.fr/SPIP/irem/archi/mathtxt/pavsom.php http://pagesperso-orange.fr/therese.eveilleau/pages/jeux_mat/textes/chinoisF.htm

 From: Frenchy Pilou (PILOU) 4 Mar 2009  (13 of 13)
 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 Attachments: