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## Comparison Of Soccer Balls

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

## Five Platonic Solids

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

## The Life of Johannes Kepler Essay

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

## Essay about The Genius that Was Pythagoras

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

## Applying for a Master´s in Microbial Biotechnology Essay

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.

## William Hamilton's Life And Accomplishments

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

## A Profile Of Interdisciplinary Senior Design Project

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

## How Did Plato Contribute To Geometry

did, that he probably best known for, is his identification of 5 3D symmetrical shapes. The 5 shapes were: the tetrahedron, the octahedron, the cube, the icosahedron, and the dodecahedron. The tetrahedron, which Plato represented as fire, is made of 4 triangles. The octahedron, which Plato represented as air, is made of 8 triangles. The icosahedron, which is what Plato represents as water, is made of 20 triangles. The cube, represented as earth according to Plato, is made of 6 squares. The dodecahedron

## How Carbon Is The Most Abundant Element

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

## Leonardo Da Vinci Research Paper

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