Component with fractal egg-helix contour

Abstract

Component characterized in that it has at least one guide curve which is generated by axial continuation of a single closed, egg-shaped two-dimensional initial contour, wherein exactly two counter-rotating spiral strands are created by iterative multiplication and axial displacement of this initial contour, which repeatedly intersect along the longitudinal axis.

Description

1.1 Title of the invention:

[0001] Fractal egg-helix contour with dual strands for technical, energetic, constructive, biotechnological, physical, astronomical and toy-related applications, as well as software-supported generation and targeted vortex formation for energy harvesting and 3D modeling. 1.2 Technical Area

[0002] The present invention relates to a geometric structure in the form of a fractal egg-helix contour with two counter-rotating strands, which is algorithmically generated from a two-dimensional egg fractal. The structure is self-similar, scalable, and versatile in its application in mechanical engineering, energy generation, biotechnology, physics, astronomy, toy design, software-based simulation, and 3D modeling. It is characterized by the targeted generation of vortices and suction in fluid media and the creation of precise 3D models for additive manufacturing, simulation, CAM applications, and creative applications such as toys. 1.3 State of the art

[0003] Helical structures like the Gorlov turbine (US5451137) utilize spiral geometries for energy generation but are not fractal and are limited to specific applications. Egg-shaped vortex chambers (DE202006000736U1, DE202011005559U1) use the golden ratio for water treatment without fractal geometries or software integration. Existing 3D modeling software like Grasshopper allows spline generation but lacks specific algorithms for fractal guide curves with user-defined cross-sections. In the toy sector, 3D-printed modular kits are used, but without fractal geometries or algorithmic generation.

[0004] The invention differs in its fractal, egg-shaped helix with dual strands, which is generated by proprietary software, as well as in its specialized implementation in Grasshopper for flexible 3D modeling and 3D printing, including applications in toy design. 1.4 Technical Problem Statement and Solution

[0005] The technical challenge lies in developing a universal, scalable structure that efficiently utilizes natural forces such as vortices and suction while simultaneously generating precise 3D models for additive manufacturing, simulation, CAM, and creative applications like toys. Existing solutions are limited to specific applications and do not offer flexible, user-defined 3D modeling.

[0006] The invention solves this problem by: • Two counter-rotating, break-free strands along an egg-shaped, fractal contour • Exact intersection point of the strands at the origin of the structure • Self-similar, scalable geometry from a two-dimensional egg fractal • Software-supported generation and export as a point cloud (e.g., CSV format) • A specialized plugin for Grasshopper for sweep generation with custom cross-sections and presets 1.5 Description of the invention

[0007] The invention comprises a fractal, egg-shaped guide curve with two counter-rotating strands, generated from a two-dimensional egg fractal by proprietary software. The structure is mathematically precise, scalable, and generates targeted vortices in fluid media. The software enables the generation of the structure as a point cloud (e.g., in CSV format) for CAD, CAM, 3D printing, or simulations.

[0008] A special plugin for Rhinoceros / Grasshopper extends functionality by generating 3D sweeps along the guide curve, which can be designed with user-defined cross-sections or predefined presets. The plugin offers general sweep functionality applicable to various geometries, but features a proprietary "Golden Cross-Section Scaling" specifically tailored to the guide curve, enabling exceptionally fast generation in seconds.

[0009] The structure and plugin form the basis for a planned online ecosystem that will allow users to generate, customize, and directly order 3D models of the fractal egg-helix contour for 3D printing, including toy designs. A CAM cycle for optimized milling strategies (e.g., trochoidal milling) is under development. An open-source version of the Grasshopper plugin for private use is planned for the future, with the proprietary "Golden Cross-Section Scaling" remaining protected or being replaceable by an alternative scaling method.

[0010] The structure is fundamentally suitable for applications in energy generation, particularly through targeted vortex formation in fluid media. Specific technical implementations, e.g., in hydropower plants, are the subject of future patent applications and are not disclosed in this description. 1.6 Algorithmic generation of the structure

[0011] The algorithmic generation of the fractal, egg-shaped guide curve is based on proprietary software that creates a self-similar, scalable geometry from a two-dimensional egg fractal. The structure is formed by a sequence of closed, non-fractured contours whose proportions follow the golden ratio. These contours are algorithmically combined into a fractal pattern that forms the basis for the fractal egg-helix contour.

[0012] A key aspect of the generation process is the continuous transformation of the contour, which creates a dynamic, helical shape, comparable to the elastic elongation of a flexible material. This transformation enables the generation of an infinitely scalable, egg-shaped guide curve with two counter-rotating strands that intersect at a precise zero point.

[0013] The software outputs the structure as a point cloud (e.g., in CSV format), which can be further processed for applications in CAD, CAM, 3D printing, simulations, or creative applications such as toy design. A special plugin for Rhinoceros / Grasshopper extends the functionality by generating 3D sweeps along the guide curve with user-defined cross-sections or predefined presets, with a proprietary scaling technique enabling particularly fast generation.

[0014] The underlying mathematical derivation and any variants of the generation remain proprietary and will not be disclosed. 1.7 Applications • Mechanical engineering and design: Adaptive support structures for 3D printing, CAM milling strategies, load-bearing structures • Energy and fluid dynamics: vortex formation for energy harvesting, flow optimization • Biotechnology and medicine: implant scaffolds, tissue carriers, microfluidic systems • Physics and astronomy: resonance models, cosmological simulations • Software and 3D modeling: Grasshopper plugin for flexible guide curve generation, online shop for 3D printing • Toys and Education: Modular, scalable and customizable 3D models for educational toys, decorative objects and construction systems 1.8 Advantages of the invention • Versatility: Applications in engineering, biology, physics, astronomy, 3D modeling and toy design • Efficiency: Optimized vortex formation and precise 3D models for industrial and creative applications • Scalability: Self-similar geometry for different orders of magnitude • Flexibility: Custom cross-sections and presets in the Grasshopper plugin • Creative applications: Innovative toy designs that are entertaining and educational • Speed: Generation in seconds thanks to proprietary scaling technology • Software integration: Algorithmic generation and export for CAD, CAM, 3D printing and online shop 1.9 Summary

[0015] The invention describes a fractal, egg-shaped guide curve with two counter-rotating strands, algorithmically generated from a two-dimensional egg fractal. A special Grasshopper plugin extends the functionality through flexible 3D modeling with user-defined cross-sections and presets, optimized for 3D printing, simulation, CAM, and toy design, with a proprietary scaling technique enabling particularly fast generation in seconds. A planned online ecosystem will allow the generation and ordering of 3D models, including modular or educational toys. An open-source version of the Grasshopper plugin for private use is planned for the future, whereby the proprietary scaling technique will remain protected or can be replaced by an alternative scaling method.

[0016] The structure is universally applicable in mechanical engineering, energy generation, biotechnology, physics, astronomy and toy design. QUOTES INCLUDED IN THE DESCRIPTION

[0000] This list of documents cited by the applicant was automatically generated and is included solely for the reader's convenience. The list is not part of the German patent or utility model application. The DPMA accepts no liability for any errors or omissions. Cited patent literature

[0000] US 5451137

[0003] DE 202006000736U1

[0003] DE 202011005559U1

[0003]

Claims

[1] component, characterized by , that it has at least one guide curve generated by axial extension of a single closed, egg-shaped two-dimensional initial contour, whereby exactly two counter-rotating spiral strands are created by iterative multiplication and axial displacement of this initial contour, which repeatedly intersect along the longitudinal axis. [2] Component according to claim 1, characterized by , that any cross-section is extruded or swept along the two strands of the guide curve. [3] Component according to claim 1 or 2, characterized by that it can be executed in one or more parts, in any section of the guide curve, and at any scale – from microscopic to gigantic. [4] Component according to any one of claims 1 to 3, characterized by that it is manufactured using additive manufacturing processes, casting, milling, injection molding or other machining or forming processes.