IPC분류정보
국가/구분 |
United States(US) Patent
등록
|
국제특허분류(IPC7판) |
|
출원번호 |
US-0582528
(2009-10-20)
|
등록번호 |
US-8775134
(2014-07-08)
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발명자
/ 주소 |
|
출원인 / 주소 |
|
대리인 / 주소 |
Westerman, Hattori, Daniels & Adrian, LLP
|
인용정보 |
피인용 횟수 :
2 인용 특허 :
69 |
초록
▼
Patterns (e.g., such as images, waveforms such as sounds, electromagnetic waves, or other signals, etc.) are synthesized, modulated and/or analyzed through the use of a computer programmed with a novel mathematical formula. The formula acts as a linear operator and can be used to create a variety of
Patterns (e.g., such as images, waveforms such as sounds, electromagnetic waves, or other signals, etc.) are synthesized, modulated and/or analyzed through the use of a computer programmed with a novel mathematical formula. The formula acts as a linear operator and can be used to create a variety of shapes, waveforms, and other representations. The formula greatly enhances ability in computer operations and provides a great savings in computer memory and a substantial increase in computing power.
대표청구항
▼
1. A method of creating an industrial product having an optimal shape, comprising: programming a computer with a representation of the following polar coordinate formula r=11a·cosm1·Φ4n2+1b·sinm2·Φ4n3n1where r is a radius value at an angle Φ, where parameters a, b, n1, n2, n3, m1 and m2 are n
1. A method of creating an industrial product having an optimal shape, comprising: programming a computer with a representation of the following polar coordinate formula r=11a·cosm1·Φ4n2+1b·sinm2·Φ4n3n1where r is a radius value at an angle Φ, where parameters a, b, n1, n2, n3, m1 and m2 are non-unitary finite real numbers, where n1, a, and b≠0, where m1 and m2 are natural numbers and n1≠n2 or n1≠n3;establishing an optimal shape of the industrial product including selecting values for the parameters a, b, n1, n2, n3, m1 and m2;generating a pattern via the computer based on the selected values input into said formula;transforming said generated pattern into a physical form by controlling a manufacturing of said industrial product;wherein said industrial product is made with plastic or metal and said generated pattern is employed to optimize the shape of said industrial product by forming at least a portion of said industrial product so as to have said optimal shape. 2. The method of claim 1, wherein said industrial product is a container or another product having an internal cavity. 3. The method of claim 1, wherein said physical form is configured based on a 2- or 3-dimensional representation of said generated pattern. 4. The method of claim 1, wherein said physical form is adapted based on a 3-dimensional representation of said generated pattern and said industrial product is configured to have an optimal shape in 3-dimensions based on said generated pattern. 5. The method of claim 1, wherein the parameters n1, n2, n3, m1 and m2 are variable, and wherein the values of a and b are non-variable constants, wherein the values of m1 and m2 are the same and are selected together. 6. The method of claim 1, wherein said selection is performed via or by said computer. 7. The method of claim 1, wherein said controlling a manufacturing of said industrial product includes performing computer aided manufacturing, stereolithography or rapid prototyping. 8. The method of claim 1, wherein said controlling a manufacturing of said industrial product includes performing computer aided manufacturing. 9. An industrial product having an optimal shape made by a process comprising: programming a computer with a representation of the following polar coordinate formula r=11a·cosm1·Φ4n2+1b·sinm2·Φ4n3n1where r is a radius value at an angle Φ, where parameters a, b, n1, n2, n3, m1, and m2 are non-unitary finite real numbers, where n1, a, and b≠0, where m1 and m2 are natural numbers and n1≠n2 or n1≠n3;establishing an optimal shape of the industrial product including selecting values for the parameters a, b, n1, n2, n3, m1, and m2;generating a pattern via the computer based on the selected values input into said formula;transforming said generated pattern into a physical form by controlling a manufacturing of said industrial product;wherein said industrial product is made with plastic, metal, ceramic or wood, and said generated pattern is employed to optimize the shape of said industrial product by forming at least a portion of said industrial product so as to have said optimal shape. 10. The industrial product having an optimal shape made by a process of claim 9, wherein said industrial product is a container or another product having an internal cavity. 11. The industrial product having an optimal shape made by a process of claim 9, wherein said physical form is configured based on a 3-dimensional representation of said generated pattern and said industrial product is configured to have an optimal shape in 3-dimensions based on said generated pattern. 12. The industrial product having an optimal shape made by a process of claim 9, wherein the parameters n1, n2, n3, m1, and m2 are variable, and wherein the values of a and b are non-variable constants, wherein the values of m1 and m2 are the same and are selected together. 13. The industrial product having an optimal shape made by a process of claim 9, wherein said controlling a manufacturing of said industrial product includes performing computer aided manufacturing, stereolithography or rapid prototyping. 14. The industrial product having an optimal shape made by a process of claim 9, wherein said controlling a manufacturing of said industrial product includes performing computer aided manufacturing. 15. A method of creating an industrial product having an optimal shape, comprising: programming a computer with a representation of the following polar coordinate formula r=11a·cosm1·Φ4n2+1b·sinm2·Φ4n3n1where r is a radius value at an angle Φ, where parameters a, b, n1, n2, n3, m1, and m2 are non-unitary finite real numbers, where n1, a, and b≠0, where m1 and m2 are natural numbers and n1≠n2 or n1≠n3;establishing an optimal shape of the industrial product including selecting values for the parameters a, b, n1, n2, n3, m1, and m2;generating a pattern via the computer based on the selected values input into said formula;transforming said generated pattern into a physical form by controlling a manufacturing of said industrial product;wherein said industrial product is made with ceramic or wood and said generated pattern is employed to optimize the shape of said industrial product by forming at least a portion of said industrial product so as to have said optimal shape. 16. The method of claim 15, wherein said industrial product is a container or another product having an internal cavity. 17. The method of claim 15, wherein said physical form is configured based on a 3-dimensional representation of said generated pattern and said industrial product is configured to have an optimal shape in 3-dimensions based on said generated pattern. 18. The method of claim 15, wherein the parameters n1, n2, n3, m1, and m2 are variable, and wherein the values of a and b are non-variable constants, wherein the values of m1 and m2 are the same and are selected together. 19. The method of claim 15, wherein said controlling a manufacturing of said industrial product includes performing computer aided manufacturing, stereolithography or rapid prototyping. 20. The method of claim 15, wherein said controlling a manufacturing of said industrial product includes performing computer aided manufacturing.
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