background preloader

Facebook Twitter

Tempcolorimg 38. Proceeding 2016 web. FractaldimensioninArchitectureAnExplorationofSpatialdimension2017. Fractalassessmentofstreetedge JournalUrbanMorphology2005. 1811.09697. Computational Architecture. Distance Estimated 3D Fractals (Part I) During the last two years, the 3D fractal field has undergone a small revolution: the Mandelbulb (2009), the Mandelbox (2010), The Kaleidoscopic IFS’s (2010), and a myriad of equally or even more interesting hybrid systems, such as Spudsville (2010) or the Kleinian systems (2011).

Distance Estimated 3D Fractals (Part I)

All of these systems were made possible using a technique known as Distance Estimation and they all originate from the Fractal Forums community. Part I briefly introduces the history of distance estimated fractals, and discuss how a distance estimator can be used for ray marching. Part II discuss how to find surface normals, and how to light and color fractals. Part III discuss how to actually create a distance estimator, starting with distance fields for simple geometric objects, and talking about instancing, combining fields (union, intersections, and differences), and finally talks about folding and conformal transformation, ending up with a simple fractal distance estimator.

The background. Algebraic topology. A torus, one of the most frequently studied objects in algebraic topology Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible.

Algebraic topology

Algebraic topology, for example, allows for a convenient proof that any subgroup of a free group is again a free group. Main branches of algebraic topology[edit] Below are some of the main areas studied in algebraic topology: Homotopy groups[edit] In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. Papers, Articles, Seminars, Workshops. Immersed in Movies: Going Into the ‘Big Hero 6’ Portal. Interstellar isn’t the only Oscar contender with a wormhole.

Immersed in Movies: Going Into the ‘Big Hero 6’ Portal

Big Hero 6 has a pretty cool one, too, which is nominated for a VES award. In fact, BH6 has five VFX noms at Wednesday’s 13th annual VES Awards. We get the lowdown on “Into the Portal” for the first time with directors Don Hall and Chris Williams and producer Roy Conli. We also have four exclusive images as well. List of fractals by Hausdorff dimension. Benoit Mandelbrot has stated that "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension.

List of fractals by Hausdorff dimension

Four dimensions. Back to main course page John D.

Four dimensions

Norton Department of History and Philosophy of Science University of Pittsburgh We have already seen that there is nothing terribly mysterious about adding one dimension to space to form a spacetime. Nonetheless it is hard to resist a lingering uneasiness about the idea of a four dimensional spacetime. The problem is not the time part of a four dimensional spacetime; it is the four. Courbe de Hilbert. Un article de Wikipédia, l'encyclopédie libre.

Courbe de Hilbert

Dimension de Hausdorff. Un article de Wikipédia, l'encyclopédie libre.

Dimension de Hausdorff

Dimension theory. The Elegant Universe: Welcome to the 11th Dimension (Full HD Documentary) PBS:The Elegant Universe 1 - Einstein's Dream. Variété de Calabi-Yau. Un article de Wikipédia, l'encyclopédie libre.

Variété de Calabi-Yau

Charles Howard Hinton - Wikipedia. Charles Howard Hinton (1853, United Kingdom – 30 April 1907, Washington D.C., United States) was a British mathematician and writer of science fiction works titled Scientific Romances.

Charles Howard Hinton - Wikipedia

He was interested in higher dimensions, particularly the fourth dimension. He is known for coining the word "tesseract" and for his work on methods of visualising the geometry of higher dimensions. Mendeley - Reference Management Software & Researcher Network. => <==================================================================================================================== Dimension 2. 4th Dimension - Tesseract, 4th Dimension Made Easy - Carl Sagan. Devadoss, S.L. and O'Rourke, J.: Discrete and Computational Geometry (eBook and Hardcover). Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science.

Devadoss, S.L. and O'Rourke, J.: Discrete and Computational Geometry (eBook and Hardcover).

Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Can our brains see the fourth dimension?"

The success of 2009's "Avatar" demonstrates that moviegoers appreciate the difference between 2-D and 3-D, and they're willing to pay a little more for an upgrade. Seeing in four dimensions. Three dimensions can be so limiting. FLATLANDERS Visualizing three dimensions would be as hard for these flat lizards as visualizing four is for us.

Leys, Ghys and Alvarez THE FLAT VIEW A flat lizard could try to get a sense of a tetrahedron by watching the shapes it creates as it passes through the lizard’s two-dimensional world. NOT SO EASY Can you guess the three-dimensional shape by watching its two-dimensional slices? Dimensions. TreeD thing. Return of head-heightmap - Mandelbulb3D with Paras by matze2001 on DeviantArt. Non-Euclidean geometry. R’lyeh by the artist Mr. Loach. H.P. The Use of Non-Euclidean Geometry in Art. Euclidean geometry is flat- it is the space we are familiar with- the kind one learns in school. Non-Euclidean geometry is more like curved space, it seems non-intuitive and has different properties. It has found uses in Science such as in describing space-time. It has also been used in art, to lend a more other-wordly, non-conformist feel to the work, especially during the Surrealist movement.

Castling and the 4th Dimension - Chess Forums - Surrealistic houses -Mandelbulb3D with Parameter by matze2001 on DeviantArt. Postwork - Mandelbulb3D with Parameter + Map by matze2001 on DeviantArt. Town - Mandelbulb3D with Parameter by matze2001 on DeviantArt. Cave - Mandelbulb3D with Parameter by matze2001 on DeviantArt. Bigger city - Mandelbulb3D with Parameter by matze2001 on DeviantArt. Another city - Mandelbulb3D with Parameter by matze2001 on DeviantArt. Mix mode house - Mandelbulb3D with Parameter by matze2001 on DeviantArt. Windows and lights - Mandelbulb3D with Parameter by matze2001 on DeviantArt. Hillhouse - Mandelbulb3D with Parameter and Map by matze2001 on DeviantArt. FractalDesire's DeviantArt Gallery.

Fractal cities high resolution. Jsalaworkshop. Architects of the complexity. Fractal components in the Gothic and in the Baroque Architecture Professor Nicoletta Sala, Ph-D Accademia di Architettura (Academy of Architecture) di Mendrisio. Università della Svizzera Italiana (University of Lugano). Largo Bernasconi, 6850 Mendrisio. Abstract Fractal geometry describes the irregular shapes and it can occur in many different places, for example in Mathematics and in Nature. 1.

In the different centuries the architecture followed the Euclidean geometry and the Euclidean shapes (for example, to realize the boards and the bricks). Topological graph theory - Wikipedia. Graphs as topological spaces[edit] Example studies[edit] John Hopcroft and Robert Tarjan[4] derived a means of testing the planarity of a graph in time linear to the number of edges. Their algorithm does this by constructing a graph embedding which they term a "palm tree". Efficient planarity testing is fundamental to graph drawing. Fan Chung et al.[5] studied the problem of embedding a graph into a book with the graph's vertices in a line along the spine of the book. FULLTEXT01. 10. Introduction to Fractal Geometry. Abstract Fractals is a new branch of mathematics and art. Perhaps this is the reason why most people recognize fractals only as pretty pictures useful as backgrounds on the computer screen or original postcard patterns. But what are they really? Most physical systems of nature and many human artifacts are not regular geometric shapes of the standard geometry derived from Euclid.

Fractal geometry offers almost unlimited waysof describing, measuring and predicting these natural phenomena. This article describes how the four most famous fractals were created and explains the most important fractal properties, which make fractals useful for different domain of science. Fractals Documentary: The Colors Of Infinity by Arthur C. Clarke [1995] [Remaster] Perception is just a cut in the reality. Arthur Clarke - Fractals - The Colors Of Infinity 1 of 6.

Hunting The Hidden Dimensions - Fractals (part 4 of 4) PBS Nova - Fractals - Hunting the Hidden Dimension (clip) Jhane Barnes: Fractals to Fashion (1994) Jhane Barnes: Fractals to Fashion (1994) Pinterest. Michael Hansmeyer - Computational Architecture: Digital Grotesque I. The application of 3D printing technology in architecture has up to now been limited to prototyping or producing small-scale models.

Material costs are high, machines have limited scales, and the majority of materials are not strong enough to fulfill construction requirements. Sand-printing technology has recently emerged as an additive manufacturing technique that overcomes these limitations. This technology is currently used primarily to create casting forms in for industrial applications. Yet it has unique features that make it suitable to create architectural components.

Jhane Barnes Shirts and Sweaters. Index. Could our universe be fractal? What Inspired Doctor Strange’s Visual Effects? Inception, a Mobile Game, and Black-Light Posters. Spoilers for Doctor Strange below. Opinions about the plot, characterization, and racial politics of Doctor Strange have been mixed, but one point has been more or less unanimous among critics: It’s freaking gorgeous. The Architecture of “Doctor Strange” Tema. Journal of Land Use, Mobility and Environment. Contrasting Concepts of Harmony in Architecture. Reconsidering the Alexaner Challenge. Review of The Nature of Order. Introduction. Man with a Movie Camera - L'homme a la caméra - complete with music by Document 02. Inception - Cinécourt. Cobb a pour métier de s'introduire dans l'esprit des gens pour y voler leurs secrets.

Pour cela, il les endort et manipule leur rêve afin de les placer dans des situations où ils vont révéler "librement" ce qu'ils cachent. Un gros client, qui veut faire main basse sur son concurrent, engage Cobb pour une mission encore plus risquée : non plus voler un secret mais implanter une idée dans le subconscient de la personne, afin qu'au réveil, elle décide de démanteler sa multinationale. Cobb et son équipe préparent ce coup ultime, l'inception, en prévoyant plusieurs niveaux de rêve emboîtés les uns dans les autres... Nolan est un cinéaste qui aime déformer notre perception de l'espace et du temps, pour nous entraîner dans des voyages étourdissants. Nolan précisait dans une rencontre publique qu'il avait voulu montrer "Tokyo, la ville fractale, Paris la ville linéaire et Mombasa la ville labyrinthique". Nothingness. Dantilon: The Brutal Deluxe. City Of God. Daniel Brown's. Play - Create Homepage. The Architect of These Monstrous, Alien Cities Is an Algorithm.

Daniel Brown’s photos reveal an alien landscape of concrete canyons, geometric patterns, and dark windows. They bring to mind an enormous spaceship, or a dystopian world. Brown makes his images using generative design software he wrote himself. It creates enormous, complex 3-D patterns that he searches until finding something interesting. The process makes him equal parts magician, explorer, and artist. Guardians of the Galaxy Vol. 2 and Mandelbulb 3D. Doctor Strange’s Magical Mystery Tour in time. Dr. Strange. Suicide Squad, vortical flows and fractal machines.

Bonus: Luma Pictures’ new tools for Doctor Strange. Contrasting Concepts of Harmony in Architecture. SAGE Journals: Your gateway to world-class journal research. Unified Architectural Theory: Form, Language, Complexity: Nikos A. Salingaros: 9789937623056: Books. b150461. b140123. b38218. b2725. a270759.

Acta Geographica Sinica. 54c2e4c10cf256ed5a8fe1c7. 5458ed480cf2cf516483c29d. A Fourth Spatial Dimension and its Implications on Perception. Welcome to the highest place on the planet! - Paul Nylander’s Web Site. V. R. Parton - Wikipedia. Introduction to the fourth dimension. "Connecting the Fractal City", by Nikos A. Salingaros. The Meaning of Emergent Urbanism, after A New Kind of Science. Substrate.