Geometric design by principles and random sampling. Luis Alvarez and Jean-Michel Morel
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1 Geometric design by principles and random sampling Luis Alvarez and Jean-Michel Morel
2 Cueva de las manos, Argentina, years ago
3 Formalization of the Prehistoric Composition Choice of basic shapes used to create the composition. Texel : a hand
4 We use Delauny triangulation to manage shapes
5 New shape generation using geometric transform and composition rules Random Euclidean transformation with exclusion principle
6 Colour assignment Color Palette Simulation
7 Random Euclidean transformation with exclusion principle changing the shape size
8 Euclidean transformation with exclusion principle and a one given shape orientation
9 Euclidean transformation with exclusion principle and a two shape orientations
10 Euclidean transformation with exclusion principle and one vanishing point
11 Random Euclidean transformation with oclussion principle
12 Random Euclidean transformation with oclussion principle and transparency.
13 Tessellation : Image domain partition using random Euclidean transformation with oclussion principle
14 Tessellation rendering : Different colors are associated to each connected component of the tessellation.
15 Tessellation rendering with a large number of shapes.
16 Tessellation rendering with a large number of shapes.
17 Tessellation rendering with a large number of shapes.
18 Abstract geometric designs created by leading painters Malevich Malevich Van Doesburg Buchheister Kandisky Mondrian Mondrian Arp
19 Piet Mondrian (1921) Composition with Large Red Plane, Yellow, Black, Gray and Blue Mondrian 1921 van Doesburg Seuphor, 1929 Helion 1930 Sonia Delaunay, 1931 Leger 1924 Torres 1929 Domela 1926 Design in the style of Mondrian
20 Jean Arp Collage with Squares Arranged According to the Laws of Chance. What is the Law of Chance? Arp writes : the law of chance can only be experienced through complete devotion to the unconscious. Using this process according to the law of chance, isn t per se, using chance. I further developed the collage by arranging the pieces automatically, without will. We do not want to copy nature. We do not want to reproduce, we want to produce. I wanted to find another order, another value of man in nature. I wanted to create new appearances, extract of man new forms
21 Jean Arp (1917) Collage with Squares Arranged According to the Laws of Chance Original Simulation 1 Simulation 2 Simulation 3 Simulation 4 Simulation 5 Simulation 6 Simulation 7
22 Jean Arp (1917) Collage with Squares Arranged According to the Laws of Chance Original Simulation 1 Simulation 2 Simulation 3 Simulation 4 Simulation 5 Simulation 6 Simulation 7
23 Nonlinear deformation Jean Arp Collage with Squares Arranged According to the Laws of Chance Wassily Kandinsky Color Study: Squares with Concentric Circles
24 Nonlinear deformation transforms
25 Wassily Kandinsky Color Study: Squares with Concentric Circles Original Simulation 1 Simulation 2 Simulation 3
26 Wassily Kandinsky Color Study: Squares with Concentric Circles Original Simulation 1 Simulation 2 Simulation 3
27 Shape generation Wassily Kandinsky Thirty
28 Henri Matisse (1952) The Parakeet and the Mermaid. Original Simulation 1 Simulation 2 Simulation 3
29 Collaboration with the professional painter José Antonio García
30 Symmetry and Periodicity Rossete (Egypt) Mandala (Tibet) Persian carpet Baschet (Hermes) Van der Leck Daphnis Downing Boto
31 Weak Symmetry versus Strong Symmetry Catherine Baschet (Hermes Silk Twill Scarf) Simulation of 45º strong symmetry
32 Designs inspired in Persian Carpets Simulation 1 Simulation 2
33 Designs inspired in Persian Carpets Simulation 1 Simulation 2
34 Designs inspired in Persian Carpets Simulation 1 Simulation 2
35 Designs inspired in Persian Carpets and Kandisky circles Simulation 1 Simulation 2
36 Shape connectivity Gustav Klimt, 1909, The Tree of Life Simulation 1 Simulation 2 Simulation 3
37 Shape connectivity Simulation 1 Simulation 2 Simulation 3 Simulation 4
38 Tesselations Freundlich Klee Robert Delauny Torres García Ackerman Asis Gray Gray
39 Tessellations Simulation 1 Simulation 2
40 A Multilayer Approach to Geometric design Kandisky Matisse Mondrian Alechinsky Goodnough Barbeau Pollock
41 A Multilayer Approach to Geometric design
42 !! THANK YOU!!
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