Category Archives: geometry

Mathematical Spirals

The equations of the basic spirals are given in polar coordinates. The is the radius and is the angle measured from the positive horizontal axis.The and are constants. Archimedes Spiral http://mathworld.wolfram.com/ArchimedesSpiral.html Fermat Spiral http://mathworld.wolfram.com/FermatsSpiral.html Logarithmic Spiral http://mathworld.wolfram.com/LogarithmicSpiral.html Golden Spiral The … Continue reading

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Three-Leaved Rose

Simple is beautiful. This universal principle is valid in mathematics and geometry too! Equation for three-leaved-rose (trifolium) in polar coordinates is r = a cos (3θ ) where “a” is a constant and the angle θ is measured from the … Continue reading

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Phase enables relativity

Physicists are experts at assigning new meanings to the terms established in common language. I mentioned the term “dual” or “duality” before. In common language dual means two. In physics dual means equivalent. Physicists use the word “phase” in different … Continue reading

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Platonic Solids Revisited

I will not talk about Sacred Geometry. This is a tutorial on geometry. I guarantee that if you read this tutorial you will learn at least one fun fact that you did not know before. How many 3-dimensional geometric objects … Continue reading

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Essays by Suresh Emre

A new synthesis of Spiritual Philosophy is presented in Definitions and Summary of Soul Monism I volunteer for the Renaissance Universal (RU) movement. A Vision for a Universal Renaissance. The complete list of my articles is given in http://sureshemre.wordpress.com/index/  

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Dini’s Surface (geometry)

A surface of constant negative curvature obtained by twisting a pseudosphere is known as the Dini’s Surface. It is named after Ulisse Dini. The parametric equations are: x = a cos(u) sin(v) y = a sin(u) sin(v) z = a{cos(v) + … Continue reading

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