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.
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 It might be outdated or ideologically biased.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.
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.
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
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.
Mathematical biology. Motivation. Firstly, I should probably answer the question of what mathematical biology actually is. As the name suggests, it is the application of mathematical techniques to biological problems. But why should we want to do such as thing, when experiments can be run? Why would be want to turn the beauty of nature into an ugly equation? Experiments can identify cause and effect relationships. As mentioned above, my main interest is in pattern formation. An important aspect of Turing's is that it suggests many types of animals depend on the exact same mechanism to produce their individual patterns. The patterning systems we use tend to rely on diffusion as the key mechanism. Next week I'll be demonstrating how we model diffusion mathematically. References:
Biomimicry » Biomimicry » Leaf Litter Newsletter » Biohabitats Inc. When faced with a design challenges, we ask a lot of questions. “What defines this place? What is its history, and how is it projected to change? What vegetation and microclimates exist here? Janine Benyus says yes. What exactly is biomimicry? Biomimicry also integrates an intention to reconnect people to the natural world an ethos that humans are but one part of life on Earth that must “fit in.” Applications of biomimicry extend far beyond industrial design to architecture, medicine, finance, transportation, and landscape design. Can biomimicry be applied to ecological restoration, conservation planning, and regenerative design? Is ecological engineering the same thing as biomimicry? We also provide resources for those of you who want to learn more about biomimicry, and we share the latest about what we’ve been up to at Biohabitats. What if we turned to nature for both inspiration and guidance? ©Mark Bryant Photography, Missoula MT Janine Benyus, Biologist, AuthorTop Evolve to survive.
Design Development/ Analysis of Emergent Form A series of digital models were generated to be tested for quantities to be used as input parameters. The condition of the interior space in terms of lighting and thermal comfort was of primal concern during this phase of the design. These conditions can be controlled in the interior through the generated skin. Interior formal elements were chosen from the AnaHYBIOS models to be introduced as final geometry generators. Limitations of the material system were considered while the conditions are set for the mesh relaxation algorithm to produce desirable spatial outcomes. One major limitation of the HYBIOS system is the amount of vertical distance needed to achieve a habitable floor area. Iterations of the initial algorithm were generated to be tested. The third and fourth prototypes were tested for their interior spatial condition, starting by shifting the ground planes of each program to create more differentiation between the parts.
How do fireflies light up Fireflies or lightning bugs make light within their bodies. This process is called bioluminescence and is shared by many other organisms, mostly sea-living or marine organisms. Fireflies light up to attract a mate. To do this, the fireflies contain specialized cells in their abdomen that make light. The cells contain a chemical called luciferin and make an enzyme called luciferase. To make light, the luciferin combines with oxygen to form an inactive molecule called oxyluciferin. The luciferin combines with adenosine triphosphate (ATP), which is found in all cells, to form luciferyl adenylate and pyrophosphate (PPi) on the surface of the luciferase enzyme. The wavelength of light given off is between 510 and 670 nanometers (pale yellow to reddish green color). The luciferin-luciferase chemical reaction has been used for years to measure the amount of ATP produced in cells and by various chemical reactions.