Icosahedron

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    sides typically connected at the edges (Wolfram 1999). The most common shape of modern soccer balls is called a truncated icosahedron. Icosahedron is a shape made up of 20 triangles. To create a more round object the icosahedron is truncated. Here, truncated applies to cutting off the edges which makes the icosahedron look more round ("Icosahedron," 2014). The truncated icosahedron has 32 total faces including 12 regular pentagons and 20 regular hexagons with 90 edges and 60 vertices ("Truncated

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    Five Platonic Solids

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    Platonic Solids The five platonic solids are the tetrahedron, cube, octahedron, dodecahedron, and the icosahedron. They are named for the Greek philosopher Plato. Plato wrote about them in The Timaeus (c.360 B.C.) in which he paired each of the four classical elements, earth, air, water, and fire with a regular solid. Earth was paired with the cube, air with the octahedron, water with the icosahedron, and fire with the tetrahedron. The fifth Platonic solid, the dodecahedron, Plato says that, "...the

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    Each interior angle of an equilateral triangle is 60°, therefore we could fit together three, four, or five of them at a vertex, and these correspond to the tetrahedron, the octahedron, and the icosahedron. Each interior angle of a square is 90°, so we can fit only three of them together at each vertex, giving us a cube. The interior angles of the regular pentagon are 108°, so again we can fit only three together at a vertex, giving us the dodecahedron

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    known as bucky-balls is one of the types of carbon allotropes. It is a spherical fullerene molecule containing 60 carbon atoms. The shape of a bucky ball resembles that of a typical soccer ball and the specific name for the structure is truncated icosahedron. It is formed of twenty hexagons and twelve pentagons with a carbon atom lying at each vertex. The name buckminsterfullerene was named after the inventor Buckminster fuller, because one of his designs of a geodesic dome structure was very similar

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    Essay about The Genius that Was Pythagoras

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    Pythagoras was considered a genius. Plus some of the things he was credited for were very unlikely that he even did them. For example the five regular solids (Tetrahedron, Cube, Octahedron, Icosahedron, and Dodecahedron) that he was credited for he only knew how to construct the first 3 above and not the icosahedron and the dodecahedron. (Douglass) Also his discovery of irrational numbers was highly unlikely due to his philosophy of all things are numbers and numbers to Pythagoras were the ratio of

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    Kepler's Accomplishments

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    As Galileo said, mathematics is the key to open the door of universe and Kepler was the one holding this key. Kepler was introduced to astronomy in his early year and he was driven to find an explanation for order in the universe but childhood smallpox left him a weak vision and crippled hand which limited his ability to directly observe the universe. However, he was discovered to have talented mathematics skills at his early age and also during university he proved himself to be an accomplished

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    Internship in the lab of Dr. Yamuna Krishnan at National Centre for Biological Sciences (ncbs), India. We worked on a project ‘chemically triggered release of molecular cargo encapsulated within the DNA icosahedron’. The project aimed at controlled release of the encapsulated cargo in the DNA icosahedron with spatial and temporal control aided by molecular cues i.e.

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    A Profile of Interdisciplinary Senior Design Project Abstract: Interdisciplinary undergraduate engineering programs have increased in importance and significance over past few years. Interdisciplinary research areas are strongly motivated to become disciplines themselves. If they succeed, they can establish their own research funding programs and make their own tenure and promotion decisions. Interdisciplinary studies can also give skills that help future engineers to cope in a changing environment

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    including one that was called Theory of Systems of Rays. During the middle of his lifetime, he had made many great achievements. When he reached his 50s was when he reached the last years of his life. He developed Icosian Calculus, which studied the icosahedron and the dodecahedron. For the last years of his life he was an alcoholic and drank heavily. He was elected as the first foreign member of the National Academy of Sciences of the USA. Shortly after he received this news he died from a severe attack

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    Leibniz Use Of Calculus

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    Calculus has been on a rise since the beginning of time itself, starting at what they say 1570 with Johannes Kepler. He first started the rise of calculus with the discovery or invention of the tetrahedron, cube, octahedron, dodecahedron, and icosahedron. He used the field of optics to study such things in math and the orbit of Mars and proved that the orbit was indeed an ellipse with the sun located at one of the foci. It was a little over a thousand years later where I found the most interesting

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