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Platonic Solids -2

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Gisélia Piteira
Gisélia Piteira

The document discusses the five Platonic solids - geometric shapes with faces of regular polygons with the same number of faces per shape. The five Platonic solids are: the tetrahedron (4 triangular faces), the cube (6 square faces), the octahedron (8 triangular faces), the dodecahedron (12 pentagonal faces), and the icosahedron (20 triangular faces). These shapes were known by ancient Greeks and Egyptians and associated with classical elements by Plato.

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PLATONIC SOLIDS The octahedron has 8 triangular faces and represents air The tetrahedron has four triangular faces and represents fire The dodecahedron has 12 pentagonal faces and represents the universe The cube has 6 square faces and represents the earth The icosahedron has 20 triangular faces and represents water
DIFFERENT POLYHEDRONS • Although there are an infinite number of different polyhedrons, some are characterized by having special characteristics. For example, the so-called Platonic solids are called this way in reference to Plato that associated them with the five elements of nature: fire, earth, air, water and universe. • The existence of these solids was previously known by the Pythagoreans and Egyptians that had already used some of them in architecture and other objects built.
QUESTIONS 2 1: Which of these are platonic solids? 1 2: How many faces have the Platonic solids? 3 3: Is there a solid with 8 faces? 4
SOLUTIONS 1: Which of these are platonic solids? 1 e 2. 2: How many faces have the Platonic solids? Solid 1 has 20 faces and solid 2 has 12. faces. 3: Is there a solid with 8 faces? Yes, it is the octahedron.
• Done by: Gonçalo Calçada EB 2.3 de Azeitão Portugal

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Platonic Solids -2

  • 1. PLATONIC SOLIDS The octahedron has 8 triangular faces and represents air The tetrahedron has four triangular faces and represents fire The dodecahedron has 12 pentagonal faces and represents the universe The cube has 6 square faces and represents the earth The icosahedron has 20 triangular faces and represents water
  • 2. DIFFERENT POLYHEDRONS • Although there are an infinite number of different polyhedrons, some are characterized by having special characteristics. For example, the so-called Platonic solids are called this way in reference to Plato that associated them with the five elements of nature: fire, earth, air, water and universe. • The existence of these solids was previously known by the Pythagoreans and Egyptians that had already used some of them in architecture and other objects built.
  • 3. QUESTIONS 2 1: Which of these are platonic solids? 1 2: How many faces have the Platonic solids? 3 3: Is there a solid with 8 faces? 4
  • 4. SOLUTIONS 1: Which of these are platonic solids? 1 e 2. 2: How many faces have the Platonic solids? Solid 1 has 20 faces and solid 2 has 12. faces. 3: Is there a solid with 8 faces? Yes, it is the octahedron.
  • 5. • Done by: Gonçalo Calçada EB 2.3 de Azeitão Portugal