Strang's Strange Figures Strang's strange figures are the figures produced by plotting a periodic function as a function of an integer argument for , 2, .... Unexpected patterns and periodicities result from near-commensurabilities of certain rational numbers with the period (Richert 1992). Strang figures are shown above for a number of common functions. Chiliogone Un article de Wikipédia, l'encyclopédie libre. Un chiliogone régulier. Un chiliogone [kilijɔgɔn] ou chiliagone ou chiligone (du grec χίλιοι (khílioi) : « mille » et γωνία (gônía) : « angle ») est un polygone à 1 000 côtés possédant 498 500 diagonales. Caractéristiques d'un chiliogone régulier[modifier | modifier le code] Si est la longueur d'une arête. Périmètre[modifier | modifier le code] Apothème[modifier | modifier le code] Rayon[modifier | modifier le code] Valeurs remarquables d'un chiliogone régulier[modifier | modifier le code] Pour les angles au centre[modifier | modifier le code] Pour les angles internes[modifier | modifier le code] Angle interne : 179,64°Somme des angles internes : 179 640° Pour les angles externes[modifier | modifier le code] Angle externe : 180,36°Somme des angles externes : 180 360° Symbolique[modifier | modifier le code] Ce terme est utilisé à plusieurs reprises par René Descartes dans ses méditations métaphysiques (Méditation Sixième).
The Collection of Computer Science Bibliographies About the Collection This is a collection of bibliographies of scientific literature in computer science from various sources, covering most aspects of computer science. The bibliographies are updated weekly from their original locations such that you'll always find the most recent versions here. The collection currently contains more than 3 millions of references (mostly to journal articles, conference papers and technical reports), clustered in about 1500 bibliographies, and consists of more than 2.3 GBytes (530MB gzipped) of BibTeX entries. More than 600 000 references contain crossreferences to citing or cited publications. More than 1 million of references contain URLs to an online version of the paper. For more information on the contents of this collection have a look at the bibliographic statistics. Search for publications in the bibliography collection Since the bibliographies are not just referenced by links, but actually mirrored and present as a local copy, they are searchable.
Justin Mullins JavaView Homepage Sound Braid (inspired by Vi Hart) Chladni Theory Page To understand the modal patterns of the circular and rectangular plates, we must first investigate the solutions to wave equation in two dimensions: Solution for Rectangular Plates: By assuming a product solution u(x,y,t) = X(x)Y(y)T(t), we separate variables and obtain three distinct equations: where Thus These are equations for a simple harmonic oscillator. Note: We can also write the real part of the equation as: This equation essentially describes two wavefronts. So, There will be (n-1) nodes running in the y-direction and (m-1) running in the x-direction. From the relationship , we see that the modal frequencies will be Notice that the modal frequencies are not integral multiples of each other, as is the case with a vibrating string. If we graph on a log-log scale the modal frequencies w versus we should get a straight line of slope 1/2. Theory for Circular Plates: For the circular plate, the wave equation in polar coordinates solves out to be: Here is So, Notice that for values of n*theta; =
Mathematics breathes new life into Escher’s art Posted by Anonymous on June 23, 2011 M. C. Escher, who died in 1972, is famous for using mathematical ideas in his art, drawing on concepts from symmetry and hyperbolic geometry to create complex tessellated images. Now an artist is continuing his work using mathematics that Escher never had the chance to explore. Like this: Like Loading...
C’est quoi un chakra ? | Pour Un Monde Meilleur... Un chakra, c’est quoi ? Vous avez tous, un jour ou l’autre, entendu parler des chakras. Beaucoup de personnes associent ce terme à la « zénitude » ou à la méditation. On entend souvent ce mot en soin énergétique lorsqu’il s’agit de rééquilibrer ses corps subtils. Dans la culture indienne, le mot chakra vient du sanskrit qui veut dire « roue ». C’est un cercle qui désigne le disque solaire, attribut du dieu hindouiste Vishnu, que l’on surnomme « l’Agissant ». Le sanskrit est la langue mère des peuples de l’Inde, qui fut utilisée pour rédiger les plus anciens textes de leur littérature (le sanskrit est un peu ce qu’est le latin à la langue française). Selon cet ancien système de médecine, il y a sept chakras dans le corps qui commencent au bas de la colonne vertébrale pour aller jusqu’au dessus de la tête. Soumis aux aléas de santé de la personne, les chakras pourraient présenter des symptômes de rigidité ou d’affaissement, d’encombrement ou de perte de vitalité. Les chakras plus en détail…
The MPFR Library Sculpture - News January 30 A new multi-part, multi-material thing: And the pieces are like this: Like the Tetrabox piece last month, which went well and is now in stock, this one is held together with rare-earth magnets and improved with glow-in-the-dark glass. December 24 Thanks again for a great holiday season! And since I just realized I didn't announce it here, for completeness: Behold the Glow Cuttlefish Bottle Opener. December 10 This year's factory seconds sale is on. Update: Well, that lasted about two days. December 2 Why so serious? WhaleSnail In other news, I set up gift certificates through Paypal: December 2 Christmas Shipping When to order to be reasonably sure your package will arrive on time. Our last shipping day before Christmas is Monday the 23rd (cutoff at noon Eastern time!) Best wishes for a great holiday season! October 22 I made a sculpture that comes in four pieces and assembles to make sort of a box. I don't have stock of this yet – just my proof – but I've ordered parts for more. August 26
Curtis Macdonald Here are the template files I use in order to create the experimental tonal system using the 3-digit Lo Shu or “solfeggio” number series as illustrated in the above image (courtesy of Bob Philips). For all related posts, click here. These numbers are interpreted as frequencies in Hz, and are inspired by the following threads. Although these numeric concepts are rather ancient, the frequencies themselves are not. The 81 Lo Shu Tones within the 729 Fabric I used the software Custom Scale Editor (CSE) for creating these scales. CSE allows an export of a .txt file in order to use the scale within a Kontakt patch for tuning sample-based virtual instruments. If you are using Kontakt: Kontakt outputs an error when a MIDI note is set to “OFF” in CSE, therefore I have only re-tuned the keyboard maps starting on MIDI note 24 for the 36-tone scale; and MIDI note 21 for the 81-tone scale. They are not perfect, but they do work! Download: The Lo Shu Tonality Templates
American Five-Sided Pyramid 3 (David’s Key) « Sacred geometry As I already mentioned, „Behind the hill is even higher second hill. “ Going through this geometric way and superficially observing, occures a situation that I could call „confusion“. Nobody likes that condition, and the only solution is to analyze mysteries (hills) more closely. Sometimes, the cause oft hat condition is the haste. In that way theories, or you can call them stories, occures. So, information received by e-mail looks like this. I could use this way of a circle, but understanding that this is a complex, we’ll start in „a way of triangle“, analyzing star-polygon because something is missing in it. Who has followed the first part of American five-sided pyramid(chapter) could notice that some american writers analyzed available NASA recordings that satellites have made filming the neighbouring planet Mars(Richard C. Ancient geometrical construction of triangle(step by step). Line intersects the circle. We get two „floral“ patterns partly connected with „petals“.
GEOMETRIC DESIGNS OF THE GRANITE The following is my proposal to demonstrate that the granite leaf slabs and its carved boss over the north side of the upper section, are a result of the same type of geometric pattern configuration, and that this configuration corresponds to the configuration I suggested for the solution of the Great Pyramid's geometry in my previous posts, and to design, build, and seal the antechamber. The shape and dimensions of the boss are shown below: The boss was defined by Sir W. Petrie to be a rough carving over the side of the granite leaf stone, as other similar carvings over the sides of the stone blocks, used to handle and manipulate these stones blocks for the building of pyramids, tombs and temples. My idea, for many years, is that this particular object do not represents a working boss. The following sequence of drawings shows a summary of the boss's design. I used the Perfect Symbol to explain the geometry involved in the design of the Great Pyramid. 1. 4. 5. 6. 7. This is very important!