# 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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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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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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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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Carbon is the 15th most abundant element in the Earth’s crust and is the 4th most abundant element by mass in the universe. It is found in a large majority of organic material on Earth and its ability to bond in many different ways allows for a large diversity of organic compounds. These organic compounds that are formed in different shapes and structures are called allotropes. Carbon is a special element that is the base for almost all organic compounds and since it can form many allotropes of itself

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Abstract: - This is an article on the man of the Renaissance, Leonardo Da Vinci, and his mathematical works. Leonardo Da Vinci was more than just an Italian painter. He was also an architect, astronomer, geologist, mathematician, engineer, an even a musician. He is all of this and more. Leonardo Da Vinci is one of the most fascinating people in history. Key-Words: - Leonardo Da Vinci, Geometry, Mona Lisa, Golden Ratio, Platonic Solids 1 Introduction Leonardo Da Vinci can be described as the man

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