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Letters To Aletheia

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Geometry

Forging The Golden Pentagon

In this article we will be looking at how the simple regular pentagon is in fact recursively resonant with Φ (Phi), the Golden Ratio. This article

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Geometry

Phi And The Birth Of Venus (Botticelli)

In this article we will be looking at the use of Φ(Phi), or rather a very specific approximation of it, in the construction of this

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Geometry

Forging A Dodecagram (12-Pointed Star)

A Dodecagram (12-pointed star) is a simple and useful star to forge. From it you can build the circle of 12, which is used in

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Geometry

Drawing a Hexagram (Three Circles Method)

There are many ways to draw a hexagram. It is a very useful shape for splitting a circle up into 12. This can be used

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Geometry

How to Draw A Taijitu Symbol With A Straightedge And Compass

The Taijitu (Yin-Yang) is a simple yet profound Taoist symbol. We will discuss this in later articles. In this article we will show you how

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Geometry

Drawing A Pentagon With a Straightedge And Compass

Whilst we have seen that we can create a pentagon from within the Golden Triangle, it is sometimes convenient to create a pentagon from scratch.

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Geometry

Forging The Golden Pentagon From The Golden Triangle

So, we finished off with the Golden Triangle an earlier article. In this we will continue to explore the self-similar properties of this triangle in

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Geometry

Forging The Golden Triangle From The Golden Rectangle

Now that we have the Golden Rectangle to hand, we can start exploring other geometric shapes with similar properties. One of the most obvious examples

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Geometry

Forging The Golden Spiral From The Golden Rectangle

Now that we have the Golden Rectangle to hand it is trivial to create an approximation of the Golden Spiral. This can be done by

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Geometry

Forging The Golden Rectangle From The Fibonacci Sequence

To construct and understand the Golden Rectangle it is necessary to understand a few basic concepts. These are the Fibonacci sequence and Φ (Phi), also known as the

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