![]() In the past two decades a variety of papers, books and book chapters, theses and patents were published using this transformation, in the fields of mathematics, physics, biology, technology and education. Its origin is in the description of botanical shapes, but it is a fundamental equation that finds applications in many directions. The former was used in the article, as generalization of Lamé curves, also known as supercircles and superellipses. ![]() In the literature one finds names like Superformula, Gielis Superformula or Gielis curves, surfaces and (sub-) manifolds and Gielis transformations. The paper A generic geometric transformation that unifies a wide range of natural and abstract shapes introduced the Superformula, a generalization of circles and the Pythagorean Theorem, based on work of the French mathematician Gabriel Lamé (1795-1860). We also found that the proposed VR widgets provide a quick overview of the main supershapes, and users can easily reach the desired solution without having to perform fine-grain handle manipulations. We conducted a user study (N = 18) and found that VR shape widgets are effective, more efficient, and natural than conventional VR 1-D sliders while also usable for users without prior knowledge on supershapes. ![]() Our designs take leverage on thumbnails, mini-maps, haptic feedback and spatial interaction, while supporting 1-D, 2-D and 3-D supershape parameter spaces. In this work, we propose VR shape widgets that allow users to probe and select supershapes from a multitude of solutions. VR appears as a promising setting for Parametric Design with supershapes since it empowers users with more natural visual inspection and shape browsing techniques, with multiple solutions being displayed at once and the possibility to design more interest-* ing forms of slider interaction. Some of the formula's parameters are non-linear in nature, making them particularly difficult to grasp with conventional 1-D sliders alone. However, users are left to probe such a rich yet dense collection of supershapes using a set of independent 1-D sliders. Joshua lives in Las Vegas with a cat, a large collection of books and several odd-looking synthesizers.Supershapes are used in Parametric Design to model, literally, thousands of natural and man-made shapes with a single 6 parameter formula. Joshua Ellis is a writer and musician as well as a web designer and developer with over twelve years’ experience. The Nature Of Code - an excellent online course for learning generative programming by Daniel Shiffman.Will Wright And Brian Eno - Wright (creator of Sim City and Spore) and Eno (who composed the music for Spore) discuss generative systems.The Generative Art International Conference (12th annual conference to be held December 15-17, 2009 in Milano, Italy). ![]() technoligicalproceduralarchitekture playlist of generative video on YouTube.Generative & Evolutionary Art group on Flickr.45 Amazing Examples of Code Generated and 3D CG Artworks.It’s still in pre-release, but you can download it for your platform of choice now. OpenFrameworks is an open source toolkit that serves a similar purpose for C++ that Processing does for Java and NodeBox for Python, allowing C++ coders to rapidly prototype interactive media projects utilizing audio, video, OpenGL animation, and text.
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