Overview

In three-dimensional geometry, a platonic solid is a convex regular polyhedron, made up of several regular and equal polygons in shape and size, therefore all sides are identical, all angles between edges are equal and the length of all its edges are constant. There are only five perfect regular polyhedrons known as the Platonic Solids because the Greek philosopher Plato (427 -347 BC) was who studied them thoroughly and described them for science. They are: the tetrahedron (with 4 vertices, 6 edges and 4 triangular facets), the hexahedron or cube (with 8 vertices, 12 edges and 6 square facets), the octahedron (with 6 vertices, 12 edges and 8 triangular facets), the dodecahedron (with 20 vertices, 30 edges and 12 pentagonal facets) and the icosahedron (with 12 vertices, 30 edges and 20 triangular facets). In this booklet you will find formulas to calculate the main dimensions of each of the Platonic solids or polyhedrons: the height, the surfaces of each facets and total, the total volume and the radius of the circumscribed, inscribed and middle spheres. Also find some pages to trim and build solids that can serve for educative purposes for children and youth or for decoration in your desk or library.-------------------------------- En geometria tridimensional, un poliedro o un solido platonico es un poliedro regular convexo, conformado por varios poligonos regulares e iguales en forma y tamano, por lo tanto, todas sus caras son identicas, todos sus angulos entre aristas son iguales y la longitud de todas sus aristas es constante. Existen solamente cinco poliedros regulares perfectos, conocidos como solidos platonicos porque fue el filosofo griego Platon (427 - 347 AC) quien los estudio a fondo y los describio para la ciencia. Son ellos: el tetraedro (con 4 vertices, 6 aristas y 4 caras triangulares), el hexaedro o cubo (con 8 vertices, 12 aristas y 6 caras cuadradas), el octaedro (con 6 vertices, 12 aristas y 8 caras triangulares), el dodecaedro (con 20 vertices, 30 aristas y 12 caras pentagonales) y el icosaedro (con 12 vertices, 30 aristas y 20 caras triangulares).En este folleto vas a encontrar las formulas para calcular las principales dimensiones de cada uno de los solidos o poliedros platonicos: la altura, la superficie de cada una de sus caras, la superficie total del solido, el volumen y los radios de las esferas circunscrita, inscrita y medial. Tambien encontraras algunas paginas para recortar y construir los solidos que pueden servir con fines educativos para ninos y jovenes o para adorno en un escritorio o biblioteca.

Full Product Details

9781978340435

Table of Contents

Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available