Todas las imagenes expuestas en esta pagina son generadas con software 3D por lo tanto puden dar origen a una familia de imagenes 2d de sus angulos







sábado, 21 de junio de 2025

OCTAEDRO

Description Edit Subject, Category, Year Subject Architecture Category Photography Year 2000 Mediums, Materials, Styles Mediums Digital, Textile, New Media, Robotics, Black & White Materials Canvas, Cardboard, Paper, Soft (Yarn, Cotton, Fabric), Sound Styles Art Deco, Cubism, Fine Art, Photorealism, black and white Dimensions 168 W x 100 H x 0.2 D centimeters Keywords stability, black and white , octahedron, buckminster fuller, decor, design, protozoa, fantasy, fashion, interiors, minerals, nature Description Recreating in a precise mathematical and geometric way a regular polyhedron like the octahedron that comes from the Neolithic inspired my work Diamond has octahedral symmetry In the Indu tradition it is a symbol of intuition and the portal of the heart chakra. In the Greek tradition Plato's Timaeus represents air as the state of matter It is a regular octahedron with 8 equal triangular faces and has three axes of symmetry of order four; six axes of symmetry of order two; four axes of symmetry of order three, nine planes of symmetry, three containing each group of coplanar edges, and six perpendicular to each pair of parallel edges; and a center of symmetry I WANT to feel their beauty and think about the complexity of their faces CHOOSE to make them virtual because for the first time in history and thanks to software and hardware it is possible to make them in three dimensions mathematically exact These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

ESTUDIO DEL COSMOS

Description Edit Subject, Category, Year Subject Science/Technology Category Photography Year 2000 Mediums, Materials, Styles Mediums Algorithmic Art, Black & White Materials Paper, Cardboard, Canvas Styles Illustration, Photorealism, Modern, black and white, Surrealism Dimensions 100 W x 163 H x 0.2 D centimeters Keywords polyhedron, arquitecture, matematic, digital, geometric Description An ancient science of the Renaissance called transparent body whose principles are geometric and consists in the contemplation of volumes made of transparent substances that interrelate with each other inspired this work. I want to recreate what they felt and thought when they manipulated those volumes. For the first time thanks to the digital dimension this can be done virtually and with mathematical accuracy in 3 dimensions These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

CUBO

Description Edit Subject, Category, Year Subject Geometric Category Photography Year 2000 Mediums, Materials, Styles Mediums Digital, Glass, Color, Photo Materials Glass Styles Abstract Expressionism, Cubism, Illustration, Photorealism Dimensions 100 W x 161 H x 0.2 D centimeters Keywords volume, three-dimensional, interior design, cube, dimensions, four-dimensional, regular polyhedron, geometry, n-dimensional, hypercube, jewel, magic Description In geometry, a cube [1] is a three-dimensional solid object bounded by six square faces, facets, or sides, with three joints at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices. The cube is also a parallelepiped square, a parallelepiped equilateral and a rhombohedron right. It is a regular square prism in three orientations and a trigonal trapezohedron in four orientations. The cube is dual with the octahedron. It has cubic or octahedral symmetry. The cube is the only convex polyhedron whose faces are all square The cube has four kinds of symmetry, which can be represented by coloring the faces with transitive vertex. The highest octahedral symmetry O h has all faces the same color. The dihedral symmetry D 4h comes from the fact that the cube is a prism, with all four sides the same color. The prismatic subset D 2d has the same color as the previous one and D 2h has alternating colors for its sides for a total of three colors, paired by opposite sides. Each form of symmetry has a different Wythoff symbol. The cube is the cell of the only regular mosaic in three-dimensional Euclidean space. It is also unique among the Platonic solids in having faces with an even number of sides, and consequently it is the only member of that group that is a zonohedron (each face has point symmetry). The analog of a cube in four-dimensional Euclidean space has a special name: a tesseract or hypercube. More correctly, a hypercube (or n-dimensional cube or simply n -cube) is the analog of the cube in n-dimensional Euclidean space and a tesseract is the hypercube of order 4. A hypercube is also called a polytope of measure My preference is the gigantography my files support large sizes without losing definition. It is also possible to print on different types of papers, transparencies, materials. The montages can allow the use of lights and other special effects. These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

COSMOS

Description Edit Subject, Category, Year Subject Science Category Mixed Media Year 2000 Mediums, Materials, Styles Mediums Algorithmic Art, Digital, Color, Fractal, New Media Materials Cardboard, Soft (Yarn, Cotton, Fabric), Paper, Other, Canvas Styles Illustration, Documentary, Modern, Realism, Conceptual Dimensions 100 W x 161 H x 0.2 D centimeters Keywords
polyhedron, purity, symmetry, door, geometric, math, order Description IN THIS WORK the universe is represented by an Isocahedron in 3d and inside the entire CREATION is observed by different interlocking polyhedra illuminated from different angles by suns from other worlds with other colors. I want you to think about the beauty of your particular vision of your universe and feel how it extends to all of creation These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

UNIVERSO

Description Edit Subject, Category, Year Subject Geometric Category Photography Year 2000 Mediums, Materials, Styles Mediums Digital, Color Materials Other, Paper, Cardboard Styles Conceptual, Minimalism, Illustration, Dada, Cubism Dimensions 100 W x 161.8 H x 0.2 D centimeters Keywords perfect, beauty, polyhedron, purity, universe, color, matematic, cosmologic, polyedron3d, geometric, impact, oh Description FIVE are the only existing volumes that have equal edges and internal angles. These volumes indefinitely self-generate themselves to infinity by conjugating the phi number. The geometric cycle of self-generation starts from the ISOCAEDRO (in the Hindu tradition it is called Purusha the seed of Brahma) and through the conjugation of the divine proportion PHI (proportion considered divine in the old age and seed in the Hindu) a DODECAHEDR is inscribed inside. The layout of the Dodecahedron automatically gives rise to a CUBE inside. The projections of the diagonals of the faces of the Cube form two interlocking TETRAHEDERS with the tips in opposite directions. The internal volume of the Tetrahedrons defines an OCTAHEDER that also in its interior angles defines the geometric points of a new Isocahedron, repeating the Genesis of the cosmetic volumes as a perfectly possible metaphor. These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

DODECAEDRO

Description Edit Subject, Category, Year Subject Comics Category Photography Year 2000 Mediums, Materials, Styles Mediums Digital, Color, Photogram, Neon, Robotics Materials Glass, Paper, Canvas, Bronze, Ceramic Styles Abstract Expressionism, Cubism, Dada, Illustration, Photorealism Dimensions 100 W x 161 H x 0.2 D centimeters Keywords beauty, purity, spotlights, definite, polyhedra, transparency index, harmony, lamps, lights, color dance, multicolored, order Description In geometry, a dodecahedron (Greek δωδεκάεδρον, from δώδεκα dōdeka "twelve" + ἕδρα hédra "base", "seat" or "face") is any polyhedron with twelve flat faces. The most familiar dodecahedron is the regular dodecahedron, which is a Platonic solid. There are also three regular star dodecahedra, which are constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120. The pyritohedron, a common crystal form in pyrite, is an irregular pentagonal dodecahedron, having the same topology (in terms of its vertices as a graph) as the regular one but pyritohedral symmetry while the tetartoid has tetrahedral symmetry. The rhombic dodecahedron, seen as a limiting case of the pyritohedron, has octahedral symmetry. The elongated dodecahedron and trapezo-rhombic dodecahedron variations, along with the rhombic dodecahedra, are space-filling. There are numerous other dodecahedra. While the dodecahedron shares many features with other Platonic solids, one unique property of them is that one can start at a corner of the surface and draw an infinite number of straight lines across the figure that return to the original point without crossing over any other corner. These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

CUBOIDE

Description Edit Subject, Category, Year Subject Light Category Photography Year 2000 Mediums, Materials, Styles Mediums Color, Digital, Photogram, Lights, LED Materials Canvas, Glass, Paper, Steel, Bronze Styles Abstract, Illustration, Surrealism, Photorealism, Dada Dimensions 100 W x 161 H x 0.2 D centimeters Keywords big, sparkly, attracts, bright, interesting, complex, deep, harmonic, attractive, awesome, multicolored, mystery Description A sphere can be inscribed in any cube, whose center coincides with that of the cube and its radius is equal to half the edge of the cube. radius of the inscribed spheres is r = a ÷ 2; and the volume of this sphere is Ve = πa3 / 6, a = edge of the cube Circumscribed sphere Any cube can be inscribed in a sphere, so that the centers of the solids are the same point. In this case the sphere is called a sphere circumscribed to the cube. radius of the circumscribed sphere is R = d ÷ 2, and the volume is Ve = πd3 / 6, d = diagonal of the inscribed cube. Inscribed octohedron In a cube a regular octohedron can be inscribed whose four vertices are on four consecutive faces and the other two on opposite faces and perpendicular to the previous ones. If a = edge of the cube, the volume of the octohedron is obtained, V = a3 ÷ 4. 4 These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

CUBOS

Description Edit Subject, Category, Year Subject Geometric Category Photography Year 2000 Mediums, Materials, Styles Mediums Digital, Color, Vector, Lights, Fiberglass Materials Canvas, Glass, Paper, Plastic, Stainless Steel Styles Abstract Expressionism, Cubism, Dada, Photorealism, Illustration Dimensions 100 W x 161 H x 0.2 D centimeters Keywords possibilities, abstract art, hyperdimensional, contemporary decor, logarithmic, digital, two-dimensional, futurist, geometric, luxury, monochromatic, polygons Description Cube or regular hexahedron is a polyhedron bounded by six congruent square faces. It is one of the so-called Platonic solids.
A cube, in addition to being a hexahedron, can also be classified as parallelepiped, straight and rectangular, (briefly orthohedron 1) since all its faces are square and parallel two by two. It can even be understood as a right prism, whose base is a square and its height is equivalent to the side of the base. The regular hexahedron, like the rest of the Platonic solids, fulfills Euler's Theorem for polyhedra, summarized in the formula C + V = A + 2, since it has six faces, eight vertices and twelve edges (6 + 8 = 12 +2). These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

STUDY OF MYSTERIUM COSMOGRAPHICUM Kepler

Description Edit Subject, Category, Year Subject Geometric Category Photography Year 2000 Mediums, Materials, Styles Mediums Polaroid, Digital, Black & White, LED, Glass Materials Glass, Paper, Canvas Styles Illustration, Photorealism, Realism, Cubism Dimensions 100 W x 161 H x 0.2 D centimeters Keywords planets, solar, spirit, system, transparent, universe, crystal, diamond, regular polyhedra, god, illumination, mystery Description This study consists of a geometric and mathematically exact 3 D digital creation of Kepler's Platonic solid model of the Solar System from Mysterium Cosmographicum Mysterium Cosmographicum (lit. The Cosmographic Mystery,[a] alternately translated as Cosmic Mystery, The Secret of the World, or some variation) is an astronomy book by the German astronomer Johannes Kepler, published at Tübingen in 1597[1][b] and in a second edition in 1621. Kepler proposed that the distance relationships between the six planets known at that time could be understood in terms of the five Platonic solids, enclosed within a sphere that represented the orbit of Saturn. He realized that regular polygons bound one inscribed and one circumscribed circle at definite ratios, which, he reasoned, might be the geometrical basis of the universe. Kepler began experimenting with 3-dimensional polyhedra. He found that each of the five Platonic solids could be uniquely inscribed and circumscribed by spherical orbs; nesting these solids, each encased in a sphere, within one another would produce six layers, corresponding to the six known planets—Mercury, Venus, Earth, Mars, Jupiter, and Saturn. By ordering the solids correctly—octahedron, icosahedron, dodecahedron, tetrahedron, and cube—Kepler found that the spheres correspond to the relative sizes of each planet's path around the Sun, generally varying from astronomical observations by less than 10%. Kepler thought he had revealed God’s geometrical plan for the universe. Much of Kepler's enthusiasm for the Copernican system stemmed from his theological convictions about the connection between the physical and the spiritual; Kepler never relinquished the Platonist polyhedral-spherist cosmology of Mysterium Cosmographicum. These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

B5ECTAEDRO

Description Edit Subject, Category, Year Subject Abstract Category Installation Year 2000 Mediums, Materials, Styles Mediums
Digital, Algorithmic Art, LED, Black & White Materials Canvas, Paper, Cardboard, Soft (Yarn, Cotton, Fabric) Styles Photorealism, Modern, Conceptual, Fine Art, Illustration Dimensions 114.3 W x 76.2 H x 0.3 D centimeters Keywords polyhedron, real, 3d, geometrico, fotorrealistico Description I present to you 5 cast octahedron diamonds They are dancing in a sacred fire. An octahedron has 8 equal triangular faces has three axes of symmetry of order four; six axes of symmetry of order two; four axes of symmetry of order three, nine planes of symmetry, three containing each group of coplanar edges, and six perpendicular to each pair of parallel edges; and a center of symmetry The unique center of symmetry feeds a SACRED FIRE that colors all this beautiful jewel. Beautiful jewel created in 3 dimensions in the digital world mathematically and geometrically exact I want you to feel the BEAUTY of this work of art These works are also offered in limited editions for sizes larger than those presented here. Ask for prices and sizes I recommend sound effects to enhance the effect

5 DODECAEDROS ENTRELAZADOS

Description Edit Subject, Category, Year Subject Classical Mythology Category Digital Year 2000 Mediums, Materials, Styles Mediums Black & White, Digital, Photogram, Glass, Algorithmic Art Materials Canvas, Paper, Plastic, Plexiglass, Other Styles Digital Art, Geometric, Artificial Intelligence, Conceptual, Generative Dimensions 100 W x 161 H x 0.2 D centimeters Keywords portal, stellar, unconscious, unknown, dazzling, decor, deep, holder, interiors, luxury, minimalist, mystical Description The regular dodecahedron is a Platonic solid bounded by 12 regular pentagons. It has 20 vertices and 30 edges. The dual of the dodecahedron is the icosahedron. The dodecahedron occurs as cells in the 120-cell and the runcinated 120-cell. A dodecahedron can be augmented by a pentagonal pyramid to produce an augmented dodecahedron (J58), one of the Johnson solids. Adding a second pentagonal pyramid on the opposite side produces the parabiaugmented dodecahedron (J59). If the second pyramid is attached to a face an edge away from the first pyramid, the metabiaugmented dodecahedron (J60) is produced instead. Three augments can be added if they are placed on three mutually non-adjacent pentagons. The result is the triaugmented dodecahedron (J61). Projections In order to be able to identify the dodecahedron in various projections of 4D objects, it is useful to know how it appears from various viewpoints. The following are some of the viewpoints that are commonly encountered: Projection Envelope Description Non-regular dodecagon Vertex-first parallel projection. Non-regular hexagon Edge-first parallel projection. Four of the dodecahedron's faces project onto 4 of the edges of the hexagonal envelope. Regular decagon Face-first parallel projection. Non-regular octagon Parallel projection parallel to top and bottom faces. The top and bottom faces project to the top and bottom edges of the projection envelope. My preference is the gigantography my files support large sizes without losing definition. It is also possible to print on different types of papers, transparencies, materials. The montages can allow the use of lights and other special effects. I recommend sound effects to enhance the effect

DODECAEDRUM

Description Edit Subject, Category, Year Subject Geometric Category Digital Year 2000 Mediums, Materials, Styles Mediums Color, Digital, Photogram, Photo, Glass Materials Canvas, Cardboard, Paper, Soft (Yarn, Cotton, Fabric), Plastic Styles Artificial Intelligence, Conceptual, Digital Art, Symbolism, Generative Dimensions 100 W x 161 H x 0.2 D centimeters Keywords logarithmic, digital, geometric, graphic, Digital Art, Geometric, Artificial Intelligence, Conceptual, Generative, Symbolism, color, light Description A dodecahedron (from the Greek δώδεκα, ‘twelve’ and ἕδρα; ‘seat’, ‘position’, in ‘face’ geometry) is a polyhedron with twelve faces, convex or concave. Their faces must be polygons with eleven sides or less. If the twelve faces of the dodecahedron are regular pentagons, equal to each other, the dodecahedron is convex and is called 'regular', then being one of the so-called Platonic solids. This work can be printed in GIGANTOGRAPHY in very large sizes I recommend sound effects to enhance the effect Recent scientific research has proposed that the Poincaré dodecahedral space would be the shape of the Universe1 2 3 and in 2008 the optimal orientation of the model in the sky was estimated

ISOCAEDRO LETRA INGLES

Subject, Category, Year Subject Science/Technology Category Digital Year 2000 Mediums, Materials, Styles Mediums Digital, Lights, New Media, Robotics, Color Materials Canvas, Cardboard, Paper, Soft (Yarn, Cotton, Fabric), Plastic Styles Digital Art, Geometric, Artificial Intelligence, Conceptual, Generative Dimensions 100 W x 161 H x 0.2 D centimeters Keywords photorealism, culture, fantasy, mythology, nature, Digital Art, Geometric, Artificial Intelligence, Conceptual, Generative, color, Light Description ISOCAEDRUM In ancient symbology, the ICOSAEDRO of 30 edges, 20 triangular faces, 12 vertices ILLUMINATED by COLOR spotlights is the awareness of water and therefore of emotions. In Chinese medicine, the icosahedron is related to the Yang. For esotericists, this polyhedron represents the spirit or the astral. It is a complex volume containing 15 golden rectangles inside The icosahedron, despite being formed by 20 equilateral triangles, can be considered as the union of 12 internal regular pentagons. The intersection of the pentagons with each other originates the 30 edges that make up the icosahedron It has six axes of symmetry of order five, the lines that join the opposite vertices; fifteen axes of symmetry of order two, the lines that join the centers of opposite edges. Fifteen planes of symmetry MOLECULES and living beings, have the shape of an icosahedron and curiously the regular icosahedron is not possible in crystallography I WANT YOU TO THINK THAT IT IS ONE OF THE ONLY 5 PERFECT SOLIDS IN THE WORLD THAT WE CAN DO TODAY IN A 3 D DIGITAL FORM ACCURATELY CONSIDERING IRRATIONAL NUMBERS AND THE SECOND DEGREE PERFECTION NOT ACHIEVED IN ANCIENT TIMES THIS INSPIRED ME TO RECREATE IT DIGITALLY I WANT YOU TO FEEL its beauty and go inside This work can also be offered in GIGANTOGRAPHY in enormous sizes I recommend sound effects to enhance the effect

MI PERFIL INGLES

I was born in Montevideo, Uruguay, in a home of professional parents and currently I live there with my family. My first stable work experiences were in the area of ​​science. My interests and concerns have always been multiple and varied in the intellectual and artistic area. I was captivated by geometry and mathematics. I am very sensitive to beauty in general and, delving into geometry, I found my artistic streak. I compare my life experience with a polyhedron since I have always acted in many dimensions trying to increase and improve its facets. Art, beauty and harmony were my ideals and goals of all my activities. I was inspired by the Renaissance Artists and their research in arithmetic and geometry. At one point in my research I discovered that digital art with the latest 3D math software development allowed me to express what I felt. This allowed me to recreate in a virtual environment the most essential volumes of humanity whose history can be traced today from the Neolithic with a mathematical precision never achieved before and make an art of it and walk in the REAL SEARCH OF TRUTH THROUGH THE BEAUTY . I mean the 5 regular polyhedra All my studies and research related to art are personal and self-taught, supported by the shoulders of giants of my ancestors, driven by my enthusiasm and creativity. The first recognition I received was from those few who in different parts of the world expressed their pleasure for the first images that I spread on facebok, then came a beautiful interview in the magazine peripheral_arteries_art Collections that include his work Kepler's Cosmos - Roberto's Cover Grana both the interior illustration and other forms of illustration related to this volume. including but not limited to advertising. book: Lumen Naturae: Visions of Space in Art and Mathematics Prof. Matilde Marcolli Spring 2019 MIT Press is a university press affiliated with the Massachusetts Institute of Technology in Cambridge, Massachusetts.

PERFIL LABORAL

Mi perfil laboral es diseñador de imagenes poliedricas en 3 d y comercio imagenes 2d de poliedros en todos los tamaños online Cada imagen presentada es solo una de una de una gran familia de imagenes 2d expuestas de una perspectiva 3d diferente ---------------------------------------------------------------------- My job profile is a designer of polyhedral 3-d images and sell 2D images of polyhedra in all sizes online Each image presented is just one of a large family of 2D images exposed in a different 3d perspective _____________________________________________ 我的工作配置文件是一個設計師的多面體三維圖像和銷售二維圖像的多面體在各種規模的網絡 每個圖像呈現的只是其中的一個大家族的二維圖像暴露在不同的三維透視 _____________________________________________ Mon profil de poste est un concepteur de polyédriques images 3-D et de vendre des images 2D des polyèdres de toutes tailles en ligne Chaque image présentée est juste un d'une grande famille d'images 2D exposés dans une perspective différente 3d _____________________________________________ 私の仕事のプロフィールは、多面体の3次元画像のデザイナーであり、オンラインですべてのサイズで多面体の2D画像を販売 表示された各画像は、単に別の3Dの視点で公開2D画像の大きなファミリーの一つです _____________________________________________ معلوماتي الشخصية المهمة هو مصمم للصور 3 د متعددة السطوح وبيع الصور 2D من متعددات الوجوه في جميع الأحجام على الانترنت كل الصور المعروضة هي مجرد واحدة من عائلة كبيرة من الصور تعرض في 2D 3D منظور مختلف

viernes, 20 de junio de 2025

F O R M A S

En términos generales, las formas se refieren a la apariencia exterior de algo, la manera en que algo se configura o se presenta en el espacio. Pueden ser bidimensionales, como figuras geométricas en un papel, o tridimensionales, como objetos en el mundo real o multidemensionales estas ultimas pueden ser representadas matemáticamente y estudiadas a través de sus proyecciones La forma es la apariencia exterior de todo aquello que nos rodea: los objetos, los animales, los edificios, los seres humanos…. y se define por diversas cualidades como son el color, la textura, el tamaño y la estructura que hace que unas se diferencien de otras. En la naturaleza, las formas de más de 3 dimensiones no son directamente observables por el ojo humano, ya que vivimos en un universo tridimensional. Sin embargo, conceptos matemáticos y físicos como los fractales, la cuarta dimensión (tiempo), y la posibilidad de múltiples dimensiones más allá de las tres espaciales, se utilizan para describir fenómenos complejos y la estructura del universo. Multidimensionalidad de la Conciencia: Algunas teorías sugieren que la conciencia humana puede acceder a múltiples dimensiones, más allá de la tridimensional. Estructuras complejas: Los patrones intrincados de las ramificaciones de los árboles, la complejidad de las estructuras celulares, y la estructura de los cristales sugieren formas que se pueden describir mejor con conceptos matemáticos de dimensiones superiores. Fenómenos físicos: La teoría de cuerdas y la mecánica cuántica requieren de dimensiones adicionales para explicar fenómenos físicos a nivel subatómico En resumen: Mientras que nuestra experiencia directa se limita a tres dimensiones espaciales, la matemática y la física nos permiten explorar y describir formas y conceptos en dimensiones superiores para entender fenómenos complejos de la naturaleza y el universo. En la mecánica cuántica, los sistemas se describen en espacios de Hilbert, que pueden tener cualquier número de dimensiones, incluyendo dimensiones mayores a tres. Estos espacios son fundamentales para entender el comportamiento de sistemas cuánticos complejos, y aunque no corresponden a la experiencia cotidiana, son matemáticamente válidos y necesarios para la descripción de ciertos fenómenos físicos.

Seguidores

Datos personales

Mi foto
Uruguay
robertogrania@gmail.com comentarioso intereses web http://www.flickr.com/photos/44727437@N08/