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Mike Sollami

“Be thine own palace, or the world’s thy jail.” - John Donne

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January 06, 2014

Synthetic Gravity

January 06, 2014/ Michael Sollami
Synthetic Gravity

An n-body choreography is a periodic solution to the n-body problem in which all the bodies are equally spread out along a single orbit. Interesting choreographies are typically discovered using methods from topology and calculus of variations...

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January 06, 2014/ Michael Sollami/ Comment
December 31, 2013

Mathgen

December 31, 2013/ Michael Sollami
Mathgen

My latest mathematics paper is complete, but has a single flaw. Can you see what it is? 

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December 31, 2013/ Michael Sollami/ Comment
December 27, 2013

Fractals from the 4th dimension

December 27, 2013/ Michael Sollami
Fractals from the 4th dimension

The 3D analogue of the Julia set fractal is the quaternion fractal. Since it is rather hard to draw 4 dimensional objects, one needs a way of rendering 4D quaternion fractals onto a 2D screen. The approach used here is to intersect the 4D solid with a plane.

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December 27, 2013/ Michael Sollami/ Comment
fractal, visualization
4d, quaternion
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Mike Sollami

Website and blogs of Michael Sollami Phd. Original thoughts on mathematics, computer science, and art.

 

© Michael Sollami