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Crystal model artwork production method based on singular attractor

A production method and attractor technology, which can be applied in chaotic models, nonlinear system models, decorative arts, etc., can solve the problems of lack of diversity, single crystal shape and pattern, unable to meet diversification and higher aesthetic needs, etc. To achieve a wide range of practical, easy to achieve results

Inactive Publication Date: 2009-02-18
SHANGHAI UNIV OF ENG SCI
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0002] All kinds of crystal products are widely used in many fields. The handicrafts made of these crystal products are very distinctive, beautiful in appearance and high in ornamental value. The crystal shapes and patterns produced are relatively single, lack of diversity, and cannot meet the increasingly diverse and higher aesthetic needs of the market.

Method used

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  • Crystal model artwork production method based on singular attractor
  • Crystal model artwork production method based on singular attractor
  • Crystal model artwork production method based on singular attractor

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0034] A method for making a crystal model handicraft based on a strange attractor, comprising the steps of:

[0035] (1) Establish a three-dimensional different attractor model through mathematical chaos equations;

[0036] (2) Visualizing the three-dimensional different attractor model through a computer program to obtain an artistic image;

[0037] (3) Making the visualized three-dimensional different attractor model into a crystal model handicraft through a crystal model manufacturing process.

[0038] In the present embodiment, the mathematical chaos equations are Lorenz system equations:

[0039] x ′ = a ( x - y ) y ′ = ...

Embodiment 2

[0056] In embodiment 2, described crystal model handicraft manufacturing method is identical with embodiment 1, comprises:

[0057] (1) Establish a three-dimensional different attractor model through mathematical chaos equations;

[0058] (2) Visualizing the three-dimensional different attractor model through a computer program to obtain an artistic image;

[0059] (3) Making the visualized three-dimensional different attractor model into a crystal model handicraft through a crystal model manufacturing process.

[0060] The difference between embodiment 2 and embodiment 1 is that in this embodiment, the mathematical chaos equations are Rossler system equations:

[0061] x ′ = - ( y + z ) ...

Embodiment 3

[0077] In embodiment 3, described crystal model handicraft manufacturing method is identical with embodiment 1, comprises:

[0078] (1) Establish a three-dimensional different attractor model through mathematical chaos equations;

[0079] (2) Visualizing the three-dimensional different attractor model through a computer program to obtain an artistic image;

[0080] (3) Making the visualized three-dimensional different attractor model into a crystal model handicraft through a crystal model manufacturing process.

[0081] The difference between embodiment 3 and embodiment 1 is that in this embodiment, the mathematical chaos equation is a ternary quadratic polynomial iterative expression:

[0082] Xn=-0.3-xn-1+x^2-x*y+y+y^2

[0083] yn=0.2-x+x*y

[0084] zn=-x*y-y*z-z*x

[0085] Programming via MATLAB is as follows:

[0086] y=0.2; x=0.2; z=0.2; q=0.97;

[0087] for i=1:8000

[0088] x1=(-0.3-x+x^2-x*y+y+y^2)*q;

[0089] y1=(0.2-x+x*y)*q;

[0090] z1=(-x*y-y*z-z*x)*q;

...

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Abstract

The invention discloses a crystal model artwork producing method based on singular attractors, characterized by comprising: (1) building a three-dimension singular attractor model through a math chaos equation; (2) visualizing the three-dimension singular attractor model through a computer program, obtaining an art image; (3) making the visualized three-dimension singular attractor model into a crystal model artwork through the crystal model making technics; building the three-dimension singular attractor model through a math chaos equation, obtaining different three-dimension singular attractor models through changing parameters in the math chaos equation, namely making the obtained three-dimension singular attractor model into the crystal model artwork. The invention is easy in implement and wide in practicability, therefore the aim of the invention is realized.

Description

technical field [0001] The invention relates to a method for making a crystal handicraft, in particular to a method for making a crystal handicraft model with a three-dimensional model. Background technique [0002] All kinds of crystal products are widely used in many fields. The handicrafts made of these crystal products are very distinctive, beautiful in appearance and high in ornamental value. The crystal shapes and patterns produced are relatively single, lack of diversity, and cannot meet the increasingly diverse and higher aesthetic needs of the market. [0003] With the continuous progress of computer technology and mathematical theory, it is expected that abstract mathematical theory combined with computer technology will be introduced into traditional handicraft design to achieve the perfect combination of art and science. In recent years, people have found in the study of chaotic systems: with the consumption of energy, the space of the system shrinks, and finall...

Claims

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Application Information

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IPC IPC(8): G06N7/08B44C5/00
Inventor 宋万清宋勤健
Owner SHANGHAI UNIV OF ENG SCI