Geometry Playground: Activities and Links Wolfram MathWorld Voronoi Toy This open-source program lets users play with adding points to a Voronoi diagram. Geometry GamesA number of downloadable games that let you explore topology, polygons, tilings, and more. Geometry Playground This is a free ruler and compass application for multiple geometries. subblue Tom Beddard writes programs—some interactive, some downloadable—that make beautiful geometric designs. CinderellaInteractive geometry software. SketchUpFree 3D modeling software from Google.Then go here for polyhedron models to use in SketchUp.
What Is the Definition of Pattern in Art? A principle of art and the universe itself, pattern means the repetition of an element (or elements) in a work. Artists use patterns as decoration, as a technique of composition, or as an entire piece of artwork. Patterns are diverse and useful as a tool that grabs a viewer's attention, whether it be subtle or very apparent. How Artists Use Patterns Patterns can help set the rhythm of a piece of art. When we think of patterns, images of checkerboards, bricks, and floral wallpaper come to mind. Patterns have been used since some of the first art was created in ancient times. "Art is the imposing of a pattern on experience, and our aesthetic enjoyment is recognition of the pattern." - Alfred North Whitehead (Philosopher and Mathematician, 1861-1947) In art, patterns can come in many forms. Patterns can also be shapes, whether geometric (as in mosaics and tessellations) or natural (floral patterns), that are found in art. Patterns can also be seen in an entire series of work.
Algorithmes, mode d’emploi Elle s’appelle Ada, Augusta Ada King, comtesse de Lovelace, fille du célèbre poète Lord George Gordon Byron. Certains vous diront qu’elle a juste joué un rôle de représentation publique, mais ne les écoutez pas : c’est bien grâce à elle que le premier programme informatique a été écrit (cf. dossier en ligne sur DocSciences). Elle travaille avec Charles Babbage, mathématicien, sur la « machine analytique ». Pour faire marcher cette future machine, Ada crée des « diagrammes » qui ont pour but d’expliquer comment doit procéder la machine pour arriver au résultat recherché... et ceci indépendamment de la façon dont sont réalisées ces opérations. Ce sont des « algorithmes ». Ce mot vient du nom du grand mathématicien perse Al-Khwarizmi (vers l’an 820) qui introduit en Occident la numération décimale (rapportée d’Inde) et enseigne les règles élémentaires des calculs s’y rapportant. Mais comment être sûr qu’un mode d’emploi soit rigoureusement précis ? Gnirut : le monstre testeur
Introduction to Algebra We live in a world of numbers. You see them every day: on clocks, in the stock market, in sports, and all over the news. Algebra is all about figuring out the numbers you don't see. You might know how fast you can throw a ball, but can you use this number to determine how far you can throw it? You might keep track of stock prices, but how can you figure out how much money you've made (or lost) in the market? Learn more about our High School and AP* Exam Preparation Courses
Sieve of Eratosthenes You will need to print one copy of this 2-100 master grid, and a copy of this sheet of smaller grids. On the first small grid, shade in all the multiples of 2 except 2. What do you notice? Can you explain what you see?Now update the master grid, by crossing out the multiples of 2 except 2. On the second small grid, shade in all the multiples of 3 except 3.What do you notice? Now look at the master grid. What would change on the master grid if you were to cross out multiples of larger numbers? We're used to working with grids with ten columns, but you might find an interesting result if you use this six-column grid instead. (Here is a 2-400 number grid if you want to try it.) Final challenge Imagine you want to find all the prime numbers up to 1000 by crossing out multiples in a 2-1000 number grid. With thanks to Vicky Neale who created this task in collaboration with NRICH.
Tick Bait's Universe LITE Version on the App Store Design in Art: Repetition, Pattern and Rhythm Tutorial Repetition is an object, form, or figure that is repeated. To get an idea of the effect of repetition in an artwork, look at the illustration below. There appears to be two boxes. Donald Judd: repetition as a minimalist Donald Judd, untitled (1969/1982), anodized aluminum each of 10 boxes 6 x 27 x 24 inches Walker Art Center Gift of Mr. and Mrs. From the Walker Art Center website: "One of the foremost practitioners of Minimal Art, Donald Judd is best known for his sleek, boxlike constructions made of industrial materials such as aluminum, plywood, sheet metal, and plexiglass. image from the curriculum guide for the exhibition So, Why Is This Art? If Judd's concern is with pure forms, how does the repetition of a single form --shape, dimensions, spacing and color--affect your respsonse? Easter Island: Ahu Tongariki, repetition as intimidation Ahu Tongariki on Easter Island. c 1250--1500 CE Moai restored in the 1990's by a Japanese research team after a cyclone knocked them over in the 1960's.
Symbolinks : La langue des nombres d'après Pythagore. Tout est nombre Les nombres sont l'essence des choses Tous les hommes aspirent à la connaissance et l'objet de cette aspiration est la vérité. La vérité se présente initialement à l'homme sous une forme interrogative : • Dieu existe-t-il ? Quel pourrait bien être ce criterium de vérité ? Tout est lié Tout dans l'univers est arrangé d'après le modèle universel des nombres La notion de relation est ici fondamentale. Le nombre permet d'approcher la pensée commune au religieux, au scientifique, au philosophe ou à l'hermétiste. « Tout ce que la nature a arrangé systématiquement dans l'Univers paraît, dans ses parties comme dans l'ensemble, avoir été déterminé et mis en ordre en accord avec le Nombre, par la prévoyance et la pensée de Celui qui créa toutes choses. Tout est Un Les nombres sont le chemin qui montre la vérité sur la profonde unité de la vie.