la même chose en français.
Since ancient times we are used to the classical geometrical forms as the square, the circle, the cube, the cylinder, the sphere and the torus. But also to the ellipses, the parabolae, the helixes, the sinusoïdes, the cycloids. Recently, with new computing tools, there are new geometrical forms which are highlighted: the curves of Bézier, the splines, the Coons’ patches, the blobs, the fractales and the other geometrical forms, more and more complexes. Classical forms were the secret hunting of the mathematicians, contemporary ones are explored in all directions by computer graphics experts of very different origine, which are not interested at all in their mathematical definitions and accumulate without end increasingly complex geometrical experiments, like modelling the wavy hairs of a siren slipping into clear water... But there’s a time where one feels the need to take stock on all this richness, where one seeks a unitary vision, where one wants to understand "the words under the images". It’s there that Zorro arrives...
Pascalian forms are all the geometrical forms known since the antiquity and the very last ones revealed by digital tools, revisited by means of a unitary language offering a simple -but not simplistic- approach and opening a new angle towards new perspectives. This site shows some examples:
- elementary forms : a volume, a surface and a curve.
- conics and surfaces of revolution
- straight lines, straightaway, in curved forms
- immersions or drawing on curved forms
- an application: the definition of a boat’s shell
- practice with ropes and boards...
The code can be downloaded in POVRAY and Sketchup/Ruby syntaxes : pFcode. Don't forget : it's a work in progress ...
Meeting on this page for other information on pFormes, as well as for the complete text issued from this subject. Meeting also in the sandbox to test stuff and on the forum to exchange ideas in this wiki.