engleski

The Rosetta Project - an Exploration Into Geometric Polymorphism

A 3D model called Rosa Mystica, made as a geometric representation of an abstract flower, was designed by the geometry generation on top of a hexagonal base. Using parametric modelling, this model was translated into one simple morphogenetic formula. The initial intention was to create multiple versions of Rosa Mystica but it has turned into an art project of its own, The Rosetta Project. The Rosetta Project represents a top/bottom parallel view projection of a 3D aggregation of tetrahedra geometry generated upon an n-sided pyramid. The initial (Rose) hexagon base was replaced with a parametric polygon. The polygon is placed in the origin of the coordinate system and it is defined by the parameters of the radius of the circumscribed circle, and the number of sides. The third parameter determines the height of the pyramid raised on top of the polygon (faces are extruded to a point above its centroid point). The height of all other extrusions, which are raised on top of the offset faces of an exploded geometry, is the same as the offset distance. The operation is repeated three more times. Parameters: 1. Initial radius of circumscribed polygon, 2. Number of polygon sides, 3. Height of the initial pyramid, 4. Offset distance. Construction of the 3D model for the rosetta: 1. Draw a polygon in the coordinate origin, 2. Raise a pyramid on top of the polygon, 3. Explode the pyramid, 4. Offset exploded faces outwards, 5. Raise a pyramid on top of every offset face, 6. Repeat steps form 3. to 5. three more times. 36 Abstracts − 18th Scientific-Professional Colloquium on Geometry and Graphics Beli Manastir, September 6 – 10, 2015 Although the formula for generating rosettas is very simple, the final geometry is complex. Some rosettas seem to be flat, some relief, deep, sharp, extroverted, closed ... This way polymorphic results are sometimes similar to living organisms, such as plants or microbes, and sometimes they are rather alien and crystal like. A simple formula produced geometric polymorphism that is abstract enough for aesthetic purposes but also bio-like enough to resemble natural polymorphisms.

generative geometry ; parametric modelling ; polymorphism ; orthogonal projection ; art

nije evidentirano