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.
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: 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 It might be outdated or ideologically biased.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.
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
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.
What is Rhino.Python? with Python by Dan Belcher This guide is an overview of Python in Rhino. …but a better question is… What is Python? Python is a modern programming language. Python is interpreted, meaning it is executed one line at a time. You may need Python if you want to: Automate a repetitive task in Rhino much faster than you could do manually. Why Python? Why should you use Python? But more importantly: Python is very popular outside of Rhino! Rhino already has a scripting language called RhinoScript why do we need another? What version of Python does Rhino use? Rhino uses Python version 2.7. Where can you use Python in Rhino? Python can be used all over Rhino in many different ways. Interactive scripts. RhinoScript Style Functions One of the key features of RhinoScript that make it easy to write powerful scripts is a large library of Rhino specific functions that can be called from scripts. Let’s compare scripts for letting a user pick two points and adding a line to Rhino… Here’s RhinoScript: compared with Python:
Bio-Mathematics in Busby Berkeley Musicals--Image Dump JF Ptak Science Books Post 1133 There's a certain amount of Leggy Geometry going on in the many films of the great and often-troubled Busby Berkeley. Berkeley was about 38 when he came into great prominence as a choreographer for movies with music--they were grand and spectacular, intricate dances involving dozens, many times employing overhead shots looking straight down on a full-kaleidoscope productions. There's a big dollop of natural history geometry in his work, as we can see by this selection of still images below. May 2010 Thursday, May 27, 2010 Existence of RNA 'dark matter' in doubt : Nature News "The abundance of transcripts from the genome may have been overestimated. RNA 'dark matter' hinted at by previous studies of mammalian genomes may not exist after all. Tuesday, May 25, 2010 Top 10 New Species - 2010 "A committee of taxonomists and the International Institute for Species Exploration at Arizona State University have picked the top 10 new species identified in 2009. Monday, May 24, 2010 swarm intelligence for adaptive routing in telecommunications networks "We identify typical building blocks of swarm intelligence systems and we show how they are used to solve routing problems. Wednesday, May 19, 2010 C Library for Simulated Evolution of Biological Networks ". Bacterial foraging algorithm Labels: bacteria, foraging, quorum sensing Testing the common ancestry of life Molecular robots Comparing genomes to computer operating systems Tuesday, May 18, 2010 Small RNA Makes Its Move Friday, May 14, 2010 DNA robots
Working With Attractors | The Grasshopper Primer (EN) 1.3.2. Working with Attractors Attractors are points that act like virtual magnets - either attracting or repelling other objects. In Grasshopper, any geometry referenced from Rhino or created withinGrasshopper can be used as an attractor. Attractors can influence any number of parameters of surrounding objects including scale, rotation, color, and position. These parameters are changed based on their relationship to the attractor geometry. Attractor pointVectorsCircles orient towards attractor based on their normals In the image above, vectors are drawn between an attractor point and the center point of each circle. Example files that accompany this section: Download In this example, we will use an attractor point to orient a grid of circles, based on the vectors between the center points of the circles and the attractor point.
Berlage drawings Hendrik P. Berlage's designs are based on the concept of the Gesamtkunstwerk, meaning that the architect not only designs the building, but is also involved in the interior design, taking care of furniture, lighting or carpeting. In the following 18 drawings we can find parquet and lamp designs among other ornaments and decorative patterns. Click on the link listed at the bottom of every image to go to their equivalent Haeckel's artwork. These 18 water colours by Dutch architect H.P. Special thanks to Het Nieuwe Instituut for loaning Berlage's drawings and to the sponsors for making Kunstformen der Natur possible. Sponsors A3 Scannen, Bugaboo, Fonds Creatieve Industrie, Gemeente Amsterdam, Het Nieuwe Instituut and Stadgenoot.