The images exposed in this document have all been created by means of Standard Procedures known as "Algorithms" in the language of Mathematics, these amazing and most of the times, appealing images, are evidence of the power of Mathematics to produce beauty.

Original images are considerably much larger and much better quality. Obviously the author, Javier Montenegro Joo, Reserves for himself absolutely All the Rights.

"Virtual Dynamics" is the name of an Algorithm created by JMJ in 1988 to Computer Simulate the Stochastic Aggregation of Diffusing Particles (Thesis, San Marcos University).

VirtualDynamics is a Registered Trademark of the Palatinus Development Foundation. All Rights are Reserved.

Author's email: Director@VirtualDynamics.Org

Algorithmic Art Exhibition Centre

	Wonder Arcs

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In Highly Degenerated States Physicists Do it .....

author: Javier Montenegro Joo
Warning: Non professional physicists might not understand this.
	With the cat (Schrodinger's), with twins (Einstein's), ...
	With Strange Attractors, Random Walkers, Annihilators, ...
	Experimenting Completely Inelastic Collisions with Strange Attractors
	With Models in Super Positions and with Chaotic Motion.
	With Rigid Bodies moving Back and Forth with Friction.
	Spontaneously with Random Walkers on Inclined Planes.
	With Random Motions with The Nearest Neighbors
	With Freely Falling Bodies and Transverse Oscillations
	Slowly changing face and Temperature with Annihilators
	With Chains (Markov's), Vacuum pumps, Vibrators and Strings
	With Self-Excited Motions in Closed Isolated Environments
	Approaching the Critical Point with Noisy Vibrating Bodies.
	Swinging back and forth coupled oscillators.
	With Intermittency, with Noise, With Distortions and Aberrations
	Dissipating Energy at Critical Angles.
	Coupling Resonant Oscillators.
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Complex Dynamical Systems

Picture Gallery

	A	B	C	D	E
1
2
3
4
5
6

Each one of these images is the result of a computational algorithm dealing with a complex variable equation which is iterated several hundreds of times. The color distribution in these images is associated to the necessary number of times for the results of an iteration to escape to infinity. Each image corresponds to a different equation which deals with six parameters (18-digits-long each).
Original Images are much larger, here they have been reduced.

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Virtual Dynamics Software Computer Assisted Learning and Teaching

Software for Computer Assisted Learning and Teaching
Mathematics Virtual Laboratory Visual Mathematics Visual Mathematics is part of the Mathematics Virtual Laboratory of Virtual Dynamics. This is a Mathematics visualizer (more than 66 modules on: Arithmetic, Algebra, Geometry, Trigonometry and others) , useful not only to study, learn and teach Mathematics, but also to solve problems.
Visualizing and understanding Math is now very easy and quick with this highly Interactive Software, that allows the user to "see" the Mathematics. No more frustration due to abstract mathematics. Visual Math allows the user to learn very easily as he/she plays with it.
Nobody does it better than .... Intuitively-Easy-To-Use Software.
To know more about the Physics and Mathematicvs software and to request Demos, click the link to VirtualDynamicsSoft: www.VirtualDynamics.Org

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Algorithmic Masterpieces

Strange Attractors Image Gallery The Algorithm to create these images has been developed by Javier Montenegro Joo

These images have been created by means of an Algorithm developed by JMJ.

Original Images are much larger, and much better quality. These images -like all other material in this document- can not be reproduced, they are under copyright by the author.

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Mathematics and Physics Software

Physics Virtual Laboratory, PVL,

PVL is a set of more than 125 General Physics Simulators based on the

corresponding Mathematical Models:

Mechanics, Waves and Oscillations, Electricity and Magnetism, Thermodynamics, Optics, etc

Curvilinear and Panageos

Plane Analytic Geometry. Visualizers, Problem Solvers.

To know more about the Physics and Mathematics software and to request Demos, visit:

www.VirtualDynamics.Org

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Iterated Function Systems ( IFS )
These self-similar ferns are JMJ's variations of the Michael F. Barnsley's Fern developed with the IFS algorithm.

Wheat Spike

Algorithm: IFS

Warning: All images in this web page are under Copyright by the author, who reserves absolutely all the rights for himself.

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Physical and Mathematical Computer Games

MathPhysicsGames:	Mathematical Physics Computer Games
	MathPhysicsGames: This is a set of interactive and audio-visual Computer Games based on Mathematical Modeling in Physics. This software allows the user to assess the application of Physics and Mathematics in the development of amusing Computer Games, these kind of Computer Games not only improve the alertness and speed of reaction of the user, they also boost his/her interest in Physics and Mathematics. These games make use of Physics and Mathematics topics like Parabolic Motion, Velocity, Acceleration, Velocity components, equations, curve intersections, etc, etc.
	List of Computer Games in MathPhysicsGames: 1. Destroy the Ufo. 2. Shoot Down the Airplane. 3. Hit the Tank. 4. Bouncings Games have four levels of difficulty and constitute a serious challenge to the user.
	Warning: Use with caution, these Computer Games might boost your attention and alertness, increase your speed of reaction and foster your interest in Physics and Mathematics
Minimum requirements: MS Windows 98, Pentium II, Stereo speakers
Email the author requesting your Demo version of MathPhysicsGames
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Cellular Automata

Regular Objects developed through Cellular Automata
Discrete Dynamical Systems

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EconoModeler

EconoModeler : Analytic Geometry for Management and Economics Applications
Analytic Geometry for Economists and for Economic Analysis Economic Models - Mathematical Economics
	EconoModeler This is an Analytic Geometry Software for Computer Assisted Teaching and Learning with applications to Management and Economics. EconoModeler is also used in professional applications. In order to know more about EconoModeler click below the link to Virtual Dynamics
	To know more about this powerful software or to order it online, visit: www.VirtualDynamics.Org
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Dive into the Future with ...

To appreciate softwares on Physics, Mathematics and related themes, to get in touch with the author, to request demos, and to download softwares, visit (click): www.VirtualDynamics.Org

Virtual Dynamics / Software: Science & Engineering

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