Mathenpoche - soutien scolaire en mathématiques Labyrinthe de la cathédrale de Chartres et d'Amiens Le labyrinthe, terre de l'homme pélerin ? Que ce soit dans les cathédrales d'Amiens, de Chartres, de Reims, où le labyrinthe a disparu, le visiteur marche sur un dallage alterné clair et sombre, de pierre ou de marbre. Il compose une figure géométrique à cercles concentriques qui, en suivant ses méandres, nous amène au centre. Tel est le labyrinthe. Il est étrange que l'église, qui proclame la foi en Jésus-Christ, oblige l'homme à marcher sur cette figure mythologique païenne pour s'avancer vers le lieu de célébration du culte. Labyrinthe des cathédrales d'Amiens et de Chartres A gauche le labyrinthe de la cathérale d'Amiens, à droite le labyrinthe de la cathédrale de Chartres. Nous savons ce qu'est un labyrinthe, dont l'étymologie grecque signifie méandre, mais quelle en est l'origine ? Suivons du regard ce labyrinthe au tracé hésitant. Labyrinthe rupestre de Capo di Ponte, Valle Camonica, Lombardie, Italie En haut spirale coupée par deux diamètres perpendiculaires. Que doit-on comprendre ?
Solar System Scope Matlet Une sélection de programmes à utiliser en ligne. Les applets ont été développées par le Freudenthal Institut Researchgroup in Mathematics education d'Utrecht, aux Pays-Bas, au cours de nombreuses années de recherche et d'expérimentation. Aujourd'hui, quelques-unes de ces applets sont mises à disposition des écoles suisses grâce à la disponibilité de l'Institut hollandais et au projet commun du Centre fri-tic du canton de Fribourg, du Centro didattico du canton du Tessin et de ICT Basler Schulen du canton de Bâle. Chacune des applets est accompagnée d'une brève description et d'un feuille de route didactique détaillée. Ces commentaires ont été mis à jour en juin 2011 pour être en accord avec le Plan d'études romand ainsi que pour respecter la désignation HarmoS des années scolaires de 1 (préscolaire) à 11 (dernière année d'école obligatoire). Les applets peuvent être utilisées librement. Les applets sont programmées en langage Java.
Fibonacci Numbers and The Golden Section in Art, Architecture and Music This section introduces you to some of the occurrences of the Fibonacci series and the Golden Ratio in architecture, art and music. Contents of this page The icon means there is a Things to do investigation at the end of the section. 1·61803 39887 49894 84820 45868 34365 63811 77203 09179 80576 ..More.. The Golden section in architecture The Parthenon and Greek Architecture The ancient Greeks knew of a rectangle whose sides are in the golden proportion (1 : 1.618 which is the same as 0.618 : 1). The Acropolis (see a plan diagram or Roy George's plan of the Parthenon with active spots to click on to view photographs), in the centre of Athens, is an outcrop of rock that dominates the ancient city. Links Modern Architecture The Eden Project's new Education Building The Eden Project in St. California Polytechnic Engineering Plaza As a guiding element, we selected the Fibonacci series spiral, or golden mean, as the representation of engineering knowledge. The United Nations Building in New York Music Art
Study Group Comic Books The Math Behind the Beauty By M. Bourne Jessica Simpson What has mathematics got to do with beauty? Our attraction to another person's body increases if that body is symmetrical and in proportion. Scientists believe that we perceive proportional bodies to be more healthy. Leonardo da Vinci's "Vitruvian Man", showing the golden ratio in body dimensions Leonardo da Vinci's drawings of the human body emphasised its proportion. (foot to navel) : (navel to head) Similarly, buildings are more attractive if the proportions used follow the Golden Ratio. Golden Ratio The Golden Ratio (or "Golden Section") is based on Fibonacci Numbers, where every number in the sequence (after the second) is the sum of the previous 2 numbers: We will see (below) how the Fibonnaci Numbers lead to the Golden Ratio: Physical Beauty Why do many people feel that Jessica Simpson is beautiful? This mask of the human face is based on the Golden Ratio. Her beauty is mathematical! You can play with this concept in the following interactive. Choose mask:
Adventure Time Princess Maker by ~spacecoma on deviantART About Sacred Geometry Introduction Sacred Geometry is the blueprint of Creation and the genesis of all form. It is an ancient science that explores and explains the energy patterns that create and unify all things and reveals the precise way that the energy of Creation organizes itself. On every scale, every natural pattern of growth or movement conforms inevitably to one or more geometric shapes. As you enter the world of Sacred Geometry you begin to see as never before the wonderfully patterned beauty of Creation. The molecules of our DNA, the cornea of our eye, snow flakes, pine cones, flower petals, diamond crystals, the branching of trees, a nautilus shell, the star we spin around, the galaxy we spiral within, the air we breathe, and all life forms as we know them emerge out of timeless geometric codes. Viewing and contemplating these codes allow us to gaze directly at the lines on the face of deep wisdom and offers up a glimpse into the inner workings of the Universal Mind and the Universe itself. 1.
The Sacred Geometry Of Music The Sacred Geometry Of Music by Andrew Lorimer Music uses the laws of vibration to manifest aurally what exists at the center of everything. Into our reality springs a non-visual harmonic law that is universal. The notes and intervals of music speak directly to the chakra centers and causes them to vibrate in harmony to the vibration of a string or vocal chords, speakers moving through the air, or the sound of someone’s lips making a farting noise through a metal tube. Music uses the laws of physics and mathematics to bring out an emotional response in the listener. The music of the Western world uses a mathematical system based on Twelve. All the songs you have ever known and sang along to in your life use the same simple laws based on the number twelve. Clock Harmonisphere The mathematics of the harmonisphere are amazing. When we measure the same chords on the harmonisphere, the seven chords have the same mirrored combinations as the piano:
La spirale d'or Hélice des galaxies, de l’ADN, des coquillages, et des toiles de Van Gogh ou de Léonard de Vinci. Fusée d’énergie, mouvement d’incarnation, ressort et rebond, la spirale est sacrée, vitale, spontanée. Elle est à l’origine de la vie, à l’origine du cosmos, elle sous-tend l’univers. De tout temps, la spirale a été utilisée par l’homme pour symboliser de multiples choses : l’accomplissement, l’élan vital, l’ordre cosmique, le cycle des saisons et divers autres cycles, miroirs de sa racine sacrée. La spirale du jeu de l’oie, ou celle des labyrinthes médiévaux nous rappelle l’importance de vivre dans notre corps les effets bénéfiques de la spirale vitale. Il s’agit ni plus ni moins d’un yoga occidental. La danse-spirale est une passe magique, une expérience ineffable qui vise à réveiller l’esprit, donc à guérir le corps, ce corps si mal aimé, ce corps qui sait, et que nous ne savons pas toujours écouter. Et notre bonne vieille Terre, quelle figure décrit-elle dans l’espace ?
The Meaning of Sacred Geometry Most of us tend to think of geometry as a relatively dry, if not altogether boring, subject remembered from our Middle school years, consisting of endless axioms, definitions, postulates and proofs, hearkening back, in fact, to the methodology of Euclids Elements, in form and structure a masterly exposition of logical thinking and mental training but not the most thrilling read one might undertake in their leisure time. While the modern, academic approach to the study of geometry sees it as the very embodiment of rationalism and left brain, intellectual processes, which indeed it is, it has neglected the right brain, intuitive, artistic dimension of the subject. Sacred geometry seeks to unite and synthesize these two dynamic and complementary aspects of geometry into an integrated whole. Geometry as a Woman Further differentiating Sacred Geometry from the ordinary geometry of our school days is its’ relation to number and symbol. An old Masonic lecture from several centuries ago states:
Sacred Geometry Introductory Tutorial by Bruce Rawles Great site on natural law and basics of sacred geometry….check it out!-A.M. In nature, we find patterns, designs and structures from the most minuscule particles, to expressions of life discernible by human eyes, to the greater cosmos. These inevitably follow geometrical archetypes, which reveal to us the nature of each form and its vibrational resonances. They are also symbolic of the underlying metaphysical principle of the inseparable relationship of the part to the whole. The Sphere (charcoal sketch of a sphere by Nancy Bolton-Rawles) Starting with what may be the simplest and most perfect of forms, the sphere is an ultimate expression of unity, completeness, and integrity. The Circle The circle is a two-dimensional shadow of the sphere which is regarded throughout cultural history as an icon of the ineffable oneness; the indivisible fulfillment of the Universe. The Point At the center of a circle or a sphere is always an infinitesimal point. The Golden Ratio