Basic Chaos and Fractals Intro Simple Iterative Fractals The geometry of Fractals lies somewhere between dimensions. To be totally accurate "fractal" is even not a 'thing' at all but more like a unit of measure or mathematical characteristic. For example each fractal has a 'fractal dimension' which is it's degree of regularity and repetition. CANTOR SET: One very simple way to understand fractals and the meaning of "iteration" is to examine a simple recursive operation that produces a fractal pattern known as Cantor Set. you take a line of arbitrary length and remove the middle third. this is the first step or "Iteration", then take the remaining two lines and repeat the clipping procedure. Eventually after 5 or 10 iterations you have dozens of tiny lines which take up only as much room as the two original ones from the first step. From Wikipedia "The Cantor set, introduced by German mathematician Georg Cantor, is a remarkable construction involving only the real numbers between zero and one.

Architecture Index of Examples | Generative Landscapes This is an ongoing archive of posts describing specific script examples in Grasshopper. In general, the examples progress somewhat in difficulty, and later examples often refer to earlier examples. If you are learning Grasshopper, you may want to go through them in order. If you are already an advanced user, you can probably just click on the topic or image you think looks interesting and give it a try! 1 – 2D Patterns – Part 1: Grids, Transforms, Culls and Dispatches 2 – 2D Patterns – Part 2 : Attractors and Utility Tools 3 – 2D Patterns – Part 3: Connecting the Dots, Data Structuring, and Tessellation 4 – Surfaces and Topography 5 – Basic 3D operations and working with “Real” Sites 6 – Vectors 7 – Vector Fields with Grasshopper “Field” Components 8 – Basic Recursive Processes 9 – Fractal Forms 10 – Growth Structures 11 – Agent Based Form 12 – Cellular Automata 13 – Space Colonization 20 – Large Scale Landscape Modeling 21 – Case Studies 22 – Artists Like this: Like Loading...

vintage animal prints | Vintageprintable Here are some sample images – right click to print or save. Scroll down for more. Related pages: IREM de Lyon Bon courage, si vous n’avez pas d’ordinateur portable, l’IREM a une dizaine de (relativement vieilles) bécanes sous linux qui peuvent vous dépanner, contactez-nous. Lesson studies Michèle Artigue (IREM de Paris), Charlotte Derouet (IREM de Strasbourg) et Blandine Masselin (IREM de Rouen) Titre : Présentation d’un dispositif innovant inspiré des Lesson Studies en mathématiques : retour sur une formation vécue dans l’académie de Rouen. Ce séminaire sera distanciel uniquement. Il sera donc possible de le suivre depuis très loin. En ligne, mercredi 18 novembre à 16h30. Plus d’informations sur le site de l’IREM de Paris Hommage à Samuel Paty Notre école est notre trésor et nous sommes le visage de la République devant les enfants. En attendant Bourges, c’est fini Les quatre premiers jours des vacances de Toussaint sont habituellement synonymes, pour beaucoup d’entre nous, de rencontres et de découvertes autour des mathématiques lors des journées nationales de l’APMEP.

Branching definition of Branching in the Free Online Encyclopedia. McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc. Warning! The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased. in plants. False dichotomy arises from monopodial branching: the growth of the main axis stops and two nearly identical second-order branches, opposite each other, develop below its top and grow beyond the main axis. Figure 1. In addition to the stems, the roots, inflorescences, veins (conducting bundles) in leaves and stems, thalli in lower plants, and so forth can also branch.

LSystems Application Please try out this LSystems program written in Java. You must be using a Java compatible web browser to access it. The source code for this applet can be downloaded here. Paula CooperDepartment of Computer Science, University of C Introduction Lindenmayer systems (L-systems) provide an easy way for creating very complicated images such as fractals and trees through the specification of a few production rules. This demo is based on the program and sample L-systems presented in Przemyslaw Prusinkiewicz and Jim Hanan, Lindenmeyer Systems, Fractals, and Plants, Lecture Notes in Biomathematics 79, Springer-Verlag, Berlin 1989,1992 How to Use This L-systems Application In order to run an L-systems derivation the user must first specify the attributes of the derivation to be run. All of these entries are specified by entering the values in the provided text entry boxes, except for the production rules.

origami | Space Symmetry Structure September 14, 2009 This video collects some of my recent geometrical play in Rhino/Grasshopper. I’ll be posting further explanations and definition files here over the next few days. Among the things shown are: (more…) April 21, 2009 Continuing to explore corrugations which are rigidly foldable – ie. there is no deformation of the faces during the folding process. The same principles can be naturally extended to other piecewise-planar surfaces such as the one above, which is rigidly foldable but does not unfold to flat. Inspired and informed by the work of Tom Hull and Tim Hoffmann April 4, 2009 My electric field sketch in Grasshopper controlling the metamorphosis of the MARS double corrugation pattern. March 24, 2009 Andrew Hudson has been making some beautiful curved-fold origami using grids from my recent work with electric fields: I’m really looking forward to seeing how this develops. While we’re on the subject of origami… (video) Numbers 3 and 6 were found in the 60s by Ron Resch.

Biomimicry Basics | Vibrant OS Learning If you take this course, you will be able to: Describe what biomimicry is and how it relates to other forms of bio-inspired design Use the Biomimicry for Design methodology (the Biomimicry Design Spiral) for technical and non- technical design challenges Articulate why biomimicry is valuable for your organization Integrate biomimicry into your design process or innovation pathway Content and Overview The first part of the course is an overview of the what, why, and how of biomimicry and the Biomimicry Design Spiral. The core of the course shows you how to use the 6 steps of Biomimicry Design Spiral: Identify, Translate, Discover, Abstract, Emulate, and Evaluate. For each step in the spiral, you will: Learn how to execute the step See how the step is used in an example Receive tips I've picked up from years of working in the field Discover the unique benefits of using each step individually, so you can generate value from biomimicry even outside the spiral design process

Le blog-notes mathématique du coyote vendredi 8 février 2019 Pourquoi des plis dans les vêtements? Par Didier Müller, vendredi 8 février 2019 à 07:49 - Il y a des maths là ? lu 75 fois - aucun commentaire mardi 5 février 2019 Exercices et problèmes de cryptographie - 3e éd Par Didier Müller, mardi 5 février 2019 à 19:05 - Livres/CD-ROM Exercices et problèmes de cryptographie 3ème édition Damien Vergnaud Dunod (24 octobre 2018) 368 pages Présentation de l'éditeur Cet ouvrage s’adresse aux étudiants de second cycle d’informatique ou de mathématiques ainsi qu’aux élèves en écoles d’ingénieurs. lu 126 fois - aucun commentaire dimanche 3 février 2019 Math Park - 09/11/13 - Valentin Feray, Sous-suite croissante d'une permutation aléatoire Par Didier Müller, dimanche 3 février 2019 à 08:21 - Doc/séries/films/vidéos Combien de cartes faut-il déplacer au minimum pour trier un jeu de cartes mélangé ? lu 183 fois - aucun commentaire lundi 28 janvier 2019 Réformons les angles ! Par Didier Müller, lundi 28 janvier 2019 à 22:20 - Micmaths Tatouage

Jose's sketchbook - A personal collection of ideas, programming and shiny stuff In the field of Texture Synthesis, I recently discovered the wonders of the Reaction Diffusion System for nature-like patterns synthesis. The RD method consists on a set of equations which iteratively simulate the distribution of a chemical agent (activator) modulated by the presence of another agent called inhibitor. It is believed that such interactions take place in nature to form patterns which can be found in mammals and fish, and the first model, generating spots, was proposed by Turing himself [Turing 52], dating back from 1952!. Reaction Diffusion By playing with the parameters of an RD system, it is possible to simulate a variety of patterns ranging from spots to stripes. The main problem in practice, however, is that Meinhardt’s description consists on 5 equations with several magic constants (which might make sense in chemical terms, but the authors seem to obviate) that lead to a large search space. RD Strip system as appears in |Asai 99|. 'Space' key to reset simulation.

Kinect - One Week Later [Processing, oF, Cinder, MaxMSP] - Now full speed ahead.. Last week we wrote about the wonderful work that happened over the weekend after the release of XBox Kinect opensource drivers. Today we look at what happened since then and how the Microsoft gadget is being utilised in the creative code community. In case you missed our post from last week, you can see it here: Kinect – OpenSource [News] Chris from ProjectAllusion.com got to play with the Kinect and one late night he made this little demo in Processing using the hacked Kinect drivers. The processing app is sending out OSC with depth information based on the level of detail and the defined plane. The iPad app is using TouchOSC to send different values to the Processing app. Daniel Reetz and Matti Kariluoma have been playing with Hacking a Powershot A540 camera for infrared sensitivity enabling you to see Kinect projected infra red dots in space. Philipp Robb has some early experiments with a Microsoft Kinect depth camera on a mobile robot base. It’s still very alpha.

Related: biomimicry