Sacred Geometry ---- JULIA sets Julia sets are strictly connected with the MANDELBROT set. The iterative function that is used to produce them is the same as for the Mandelbrot set. In order to draw a picture of the Mandelbrot set, we iterate the formula f4 each point C of the [COMPLEX] plane, always starting with . If we want to make a picture of a JULIA set, C must be -- CONSTANT during the whole generation process, while the value of varies.

Sacred Geometry ---- JULIA sets Julia sets are strictly connected with the MANDELBROT set. The iterative function that is used to produce them is the same as for the Mandelbrot set. In order to draw a picture of the Mandelbrot set, we iterate the formula f4 each point C of the [COMPLEX] plane, always starting with . If we want to make a picture of a JULIA set, C must be -- CONSTANT during the whole generation process, while the value of varies.

The complex plane

The complex plane

How to make paper planes. Folding instructions for paper planes, from simple to the complex. Classic origami activity for kids

How to Fold Paper Planes

How to make paper planes. Folding instructions for paper planes, from simple to the complex. Classic origami activity for kids

Schmidt Arrangement of the Eisenstein Integers - Katherine Stange   This picture drawn by Katherine Stange shows what happens when we apply fractional linear transformations  z↦az+bcz+d  to the real line sitting in the complex plane, where a,b,c,d are Eisenstein integers: that is, complex numbers of the form  m+ne2πi/3  where m,n are integers. The result is a complicated set of circles and lines called the ‘Schmidt arrangement’ of the Eisenstein integers. - See more at…

Schmidt Arrangement of the Eisenstein Integers - Katherine Stange This picture drawn by Katherine Stange shows what happens when we apply fractional linear transformations z↦az+bcz+d to the real line sitting in the complex plane, where a,b,c,d are Eisenstein integers: that is, complex numbers of the form m+ne2πi/3 where m,n are integers. The result is a complicated set of circles and lines called the ‘Schmidt arrangement’ of the Eisenstein integers. - See more at…

Plotting the complex number $ z$ in the complex plane: The complex conjugate ($ \bar{z}$ ) is a reflection across the real axis; the minus ($ -z$ ) operation is an inversion through the origin; therefore  $ -(\bar{z}) = \bar{(-z)}$ is equivalent to either a reflection across the imaginary axis or an inversion followed by a reflection across the real axis.  The real part of a complex number is the projection of the displacement in the real direction and also the average of the complex…

Plotting the complex number $ z$ in the complex plane: The complex conjugate ($ \bar{z}$ ) is a reflection across the real axis; the minus ($ -z$ ) operation is an inversion through the origin; therefore $ -(\bar{z}) = \bar{(-z)}$ is equivalent to either a reflection across the imaginary axis or an inversion followed by a reflection across the real axis. The real part of a complex number is the projection of the displacement in the real direction and also the average of the complex…

Nearly every tool we use in our daily lives is a compound machine. A compound machine is merely a combination of two or more simple machines. The simple machines are the lever, the wedge, the wheel and axle and the incline plane. In some instances, the pulley and screw are also referred to as simple machines. Although creating a fairly complex...

How to Make a Compound Machine for a 3rd Grade Science Project

Nearly every tool we use in our daily lives is a compound machine. A compound machine is merely a combination of two or more simple machines. The simple machines are the lever, the wedge, the wheel and axle and the incline plane. In some instances, the pulley and screw are also referred to as simple machines. Although creating a fairly complex...

Hand-drawn graph of the absolute value of the Gamma function on the complex plane, from Tables of Higher Functions by Jahnke and Emde

Hand-drawn graph of the absolute value of the Gamma function on the complex plane, from Tables of Higher Functions by Jahnke and Emde

The Tutorials of Drawsh* • Blog/Website | (www.drawsh.com) • Online Store (http://www.drawsh.com/p/recommended-resources.html)   ★ || CHARACTER DESIGN REFERENCES (https://www.facebook.com/CharacterDesignReferences & https://www.pinterest.com/characterdesigh) • Love Character Design? Join the Character Design Challenge (link→ https://www.facebook.com/groups/CharacterDesignChallenge) Share your unique vision of a theme, promote your art in a community of over 25.000 artists! || ★

The Tutorials of Drawsh* • Blog/Website | (www.drawsh.com) • Online Store (http://www.drawsh.com/p/recommended-resources.html) ★ || CHARACTER DESIGN REFERENCES (https://www.facebook.com/CharacterDesignReferences & https://www.pinterest.com/characterdesigh) • Love Character Design? Join the Character Design Challenge (link→ https://www.facebook.com/groups/CharacterDesignChallenge) Share your unique vision of a theme, promote your art in a community of over 25.000 artists! || ★

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