Doodling in Math: Spirals, Fibonacci, and Being a Plant [1 of 3]

Loxodromie Un article de Wikipédia, l'encyclopédie libre. Comparaison entre les trajectoires loxodromique (jaune) et orthodromique (rouge) entre Paris et New York, sur la sphère terrestre. Une route loxodromique est représentée sur une carte marine ou aéronautique en projection de Mercator par une ligne droite, mais elle ne représente pas la distance la plus courte entre deux points. En effet, la route la plus courte, appelée route orthodromique ou orthodromie, est un arc de grand cercle de la sphère[1]. Loxodromie : l'angle [modifier | modifier le code] Le problème posé est celui de la détermination de la route et de la distance loxodromique entre deux points. Par la suite, on note Les unités, si nécessaires, seront indiquées en exposant entre crochets : pour nautique, pour le radian, pour la minute d'arc. La valeur de la distance en fonction de la route vraie s'exprime par l'égalité Pour l'évaluation de la route vraie, on peut utiliser une valeur approchée ou une valeur exacte. et la latitude . et

Data Visualization of Pi's digits ▲ 2013 day ▲ 2014 day ▲ 2015 day ▲ 2014 approx day ▲ Circular art This section contains various art work based on , and that I created over the years. day art and approximation day art is kept separate. All of the posters are listed in the posters section. Circular and spiral art based on the digits of , and . Read about how they were made and browse through the posters. Some of the art shown here has been featured in a Numberphile video. Fri 10-07-2015 The Jurassic World Creation Lab webpage shows you how one might create a dinosaur from a sample of DNA. ▲ We can't get dinosaur genomics right, but we can get it less wrong. With enough time, you'll grow your own brand new dinosaur. What went wrong? ▲ Corn World: Teeth on the Cob. Thu 11-06-2015 I was commissioned by Scientific American to create an information graphic based on Figure 9 in the landmark Nature Integrative analysis of 111 reference human epigenomes paper. ▲ Network diagram redesign of the heatmap for a select set of traits.

HootSuite's CEO lays out 4 pillars of a strong brand As an entrepreneur, one of the biggest challenges you will face will be building your brand. The ultimate goal is to set your company and your brand apart from the crowd. If you form a strategy without doing the research, your brand will barely float—and at the speed industries move at today, brands sink fast. It helps to look at branding as a challenge that entrepreneurs spend years perfecting. Don’t be scared to try new things, but remember to hold on to the vision of your company and the initial successes that defined your brand. When HootSuite was branded as the premier social media management tool for small businesses and multi-national enterprises, our focus was on four specific high-level areas—pillars that, over the past several years, have helped us build HootSuite from a startup name to a successful international company: Product offering Having a solid product offering is vital to the success of your brand.

Sacred Geometry and the Platonic Solids- by Liliana Usvat editor Mathematics Magazine Sacred Geometry and the Platonic Solids by Liliana Usvat The term "sacred geometry" is used by archaeologists, anthropologists, and geometricians to encompass the religious, philosohical, and spiritual beliefs that have sprung up around geometry in various cultures during the course of human history. Sacred geometry involves sacred universal patterns used in the design of everything in our reality, most often seen in sacred architecture and sacred art. The basic belief is that geometry and mathematical ratios, harmonics and proportion are also found in music, light, cosmology. At the very earliest appearance of human civilization we observe the presence and importance of geometry. Ancinet Artifacts The Platonic Solids. Some researchers have suggested that carved stone balls were attempts to realise the Platonic solids. Hundreds of carved stone spheres, roughly three inches in diameter, believed to date to around 2000 BC, have been found in Scotland. Greeks about Platonic Solids History Links

1537 : la loxodromie, ou spirale loxodromique | Dossier En matière de navigation terrestre, la spirale loxodromique, aussi appelée loxodromie ou route loxodromique (inventée par le géographe et mathématicien portugais du XVIe siècle Pedro Nunes), coupe les méridiens nord et sud de la Terre selon un angle constant. La loxodromie s'enroule comme un gigantesque serpent autour de la Terre et monte le long des pôles sans les atteindre. Avantage de la loxodromie dans la navigation terrestre L'une des façons de naviguer consiste à tenter de suivre le plus court chemin entre le point de départ et le point d'arrivée, chemin qui se présente sous forme d'un arc de cercle autour de la Terre. En revanche, une route loxodromique permet au navigateur de diriger en permanence son bateau vers le même point du compas, même si le chemin jusqu'au point de destination est plus long. Pedro Nunes, inventeur et père de la loxodromie La loxodromie a été inventée par le géographe et mathématicien portugais Pedro Nunes (1502-1578).

Platonic Solids and Plato's Theory of Everything The idea that all the constituents of nature consist of mixtures of a small number of "elements", and in particular the selection of the four elements of earth, water, air, and fire, is attributed to an earlier Greek philosopher Empedocles of Agrigentum (495-435 BC). Empedocles believed that although these elements (which he called "the roots of all things") could be mixed together in various proportions, the elements themselves were inviolable, and could never be changed. In contrast, one of the intriguing aspects of Plato's theory was that he believed it was possible for the subatomic particles to split up and re-combine into other kinds of atoms. For example, he believed that a corpuscle of liquid, consisting of 120 "type 1" triangles, could be broken up into five corpuscles of plasma, or into two corpuscles of gas and one of plasma.

Loxodromie de la sphère LOXODROMIE DE LA SPHÈRELoxodrome of the sphere, Loxodrome der Kugel Les loxodromies de la sphère, associées à un axe donné, sont les courbes faisant un angle constant avec les parallèles (ou avec les méridiens).Ne pas confondre les loxodromies avec les hélices sphériques, qui font, elles, un angle constant avec le plan de l'équateur, ni avec les clélies. Les loxodromies correspondent aux droites en coordonnées de Mercator ; autrement dit, sur les cartes terrestres en projection de Mercator, on dessine les loxodromies par des droites. que font, sur la carte, les images des loxodromies avec l'horizontale est le même que celui qu'elles font sur la sphère avec les parallèles.Si l’on connaît les coordonnées géographiques et de deux points, l’angle associé à la loxodromie la plus courte joignant ces deux points est obtenu par la formule : , et la longueur est donnée par : La vue de dessus d'une loxodromie est une spirale de Poinsot bornée , faisant le même angle Des loxodromies vues par Escher

The volume of a sphere - Math Central Hi Rahul, There is a classic Greek proof, which does not explicitly use calculus. [Calculus as we know it was created much later.] The secret is this: Take a hemisphere. Surround it by a cylinder of the same radius as the hemisphere, and the height of the hemisphere (the radius again). (π R2) (R) = (Area of base) x height. Now, take an inverted right circular cone in the cylinder. with the flat 'base' of the cone at the top of the cylinder, and the point at the bottom (at the center of the hemisphere). (1/3) (area of base) x height = (1/3)(π R2)(R) Now you have this: Proposition: On any horizontal slice of this configuration, the area of the cross section of the hemisphere equals the area of the cross section of the cylinder minus the area of the cross section of the inverted cone. Proof: Clearly, the cone is an isosceles triangle (two sides = R) and so the smallest triangle is similar to the cone, so C = h. Conclusion (General principle): Therefore the volume of the hemisphere