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Tiếng ViệtPolygons and PolyhedraPolyhedra Applications
Applications
Plato was wrong in believing that all elements consists of Platonic solids. But regular polyhedra have many special properties that make them appear elsewhere in nature – and we can copy these properties in science and engineering.
Radiolaria skeleton
Icosahedral virus
Many viruses, bacteria and other small organisms are shaped like The icosahedron is a Platonic solid and consists of 20 faces that are all equilateral triangles. It has 12 vertices and 30 edges.
Buckyball molecule
Montreal Biosphere
Many molecules are shaped like regular polyhedra. The most famous example is The truncated icosahedron is an Archimedean solid consisting of 12 regular pentagons and 20 regular hexagons.
It was discovered in 1985 when scientists researched interstellar dust. They named it “Buckyball” (or Buckminsterfullerene) after the architect Richard Buckminster “Bucky” Fuller (1895 – 1983) was an American architect, designer and inventor. He is famous for constructing geodesic dome – large, spherical structures. Similar looking Carbon molecules, the fullerenes, were later named after him.
Fluorite octahedron
Pyrite cube
Most crystals have their atoms arranged in a regular grid consisting of The tetrahedron is a Platonic solid and consists of four faces that are equilateral triangles. It has four vertices and six edges. A cube (sometimes called Hexahedron) is a regular polyhedron in which every face is a square. It is one of the five Platonic solids, and it has 6 faces, 8 vertices and 12 edges. The octahedron is a Platonic solid and consists of 8 faces that are equilateral triangles. It has 6 vertices and 12 edges.
Octagonal space frames
Louvre museum in Paris
Tetrahedra and octahedra are incredibly rigid and stable, which makes them very useful in construction. Space frames are polygonal structures that can support large roofs and heavy bridges.
Football
Polygonal role-playing dice
Platonic solids are also used to create dice. because of their symmetry, every side has the A probability is number between 0 and 1 that indicates the likelihood of the occurrence of certain event. The probability of an event A is written as
The The truncated icosahedron is an Archimedean solid consisting of 12 regular pentagons and 20 regular hexagons.