Graphic PIZiadas

Graphic PIZiadas

My world is in..

Categorías Geometría

Recursive Fractals: Koch Curve [JAVA]

curve-of-koch-triangle-full-150

We have seen a first program called “DrawWorld” we introduced the JAVA programming oriented graphics. This module has served on the program to see a recursive fractal primer: The triangle Sierpisnki.

Let's change this basic program to generate a new basic recursive fractal: Kuch curve.

Representation systems : Projections [ Descriptive geometry ]

Projections

The so-called representation systems encompasses a set of techniques and projection models for viewing items in a three dimensional space on a two dimensional plane.

Each of the systems provides a number of advantages that make it particularly useful in certain applications. So, systems that are included in the set of perspectives, are especially useful to give a simple three-dimensional view of the object. Cylindrical nature systems facilitate operations orthogonal measure to reduce them to obtain Pythagorean triangles (rectangles), models while central conical or approximate how the human eye works.

Figure impossible [ Imagen ] [ wallpaper ]

Figure impossible

The so-called impossible figures can be a pleasant pastime in the study of geometry.
Its construction using a modeling tool such as Blender, is an interesting exercise in application of the concepts studied in the prospects.

Debetener What form and what point of view is to be used to create the misleading appearance? An optical illusion can fool our senses.

Metric geometry : Angles on the circumference : Central and inscribed

angulo_inscrito

In metric geometry measuring two concepts on which is based its axiomatic model: measures linear and angular measurements.
The linear measurement is based on the Pythagorean theorem and the relationship between these measures in Thales.
The angular measurement from the relations expressed in a circle and with the above can describe the magnitude of geometric figures.

Origen de la projective geometry: Renaissance [ School ]

One of the parts of the geometry that is more prevalent in the corresponding representation is descriptive geometry. Among the works that have made my students, some have focused on the origins of the different geometries, like the one I present today which relate historical aspects and characters that have contributed significantly to this field of science of great application to ingeniarías and Art.

Geometría proyectiva: Ordered triples of elements

three

The items ordered triples of metric geometry is based on the well-known theorem of Pythagoras. All theorems are deduced from the concept of measurement that is derived from the right triangles. Analogous, projective geometry is based on another important theorem, el teorema de Thales, que en lugar de un concepto… (leer más)

Geometry : Variational geometry educational software

Geometry_thumb

The study of the geometry has been done conventionally constructed figures composed of lines and circles which are related by geometrical concepts. These figures are obtained from a particular position in the data of a problem and the aim is to superimpose a set of constructs for determining the solution thereof. Without… (leer más)

Wallpaper: Christmas 2011 (IX) : Geometric Christmas Tree: Toroides y poliedros [ Imagen 1280×1024 ]

arbol_geoetrico_toro_Thumb

A wallpaper made with Blender to use as wallpaper in resolution 1280 x 1024 based on basic geometric elements.

The tree structure is created with toroids (torus of revolution) that have been repeated by the operator “Array” size scaling.

Projections and navigation [School]

cartography

The specialty of Air Navigation, denominada “Aeronavigation”, the teachings of a specialized aeronautical engineering make use of geometry for making charts.

Students who have made this work are sensitive to it and therefore highlight one of the applications of the teachings they have received.

Wallpaper: Christmas 2011 (V..) : Geometric Christmas Tree: Cube helicoid[ Imagen 1280×1024 ]

geometrico tree helicoide cubes

A new wallpaper image synthesis realized with thanks to the modeling tool Blender 2.6.

In this case we have constructed a christmas tree through a geometric transformation, a helix.