3D Printing Apparatus for Visualizing Physical Quantity Distributions
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Solution Overview
Problem
Existing 3D printing technologies fail to provide visual representations that encourage physics-based understanding, such as depicting existence probability distributions of electrons or density distributions of physical quantities.
Innovation Solution
A three-dimensional object formation instruction apparatus that receives information on physical quantity distributions in a three-dimensional space, determines the shape and position of representation bodies, and generates instructions for a 3D printer to form objects that visually represent these quantities, using shapes like spheres for scalar quantities and circular cones for vector quantities, with translucent materials to enhance visibility.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Loss of information
If conventional 3D printing is used to represent physical objects, then the structural form can be visualized, but the physics-based understanding (such as probability distribution and density distribution) cannot be effectively conveyed
Solution Approach 1:
The patent uses color mapping to represent physical quantity distributions. Different colors indicate different magnitudes of physical quantities (such as electron probability density), allowing viewers to intuitively understand the distribution patterns without complex data interpretation. This transforms abstract numerical data into visually accessible information.
Solution Approach 2:
The patent adds a visual dimension to traditional 3D structural representations. By overlaying color-coded physical quantity information onto the three-dimensional model, it creates a four-dimensional representation (three spatial dimensions plus one information dimension), enabling simultaneous visualization of both structure and physical properties.
2Measurement precision
If detailed physical quantity distribution data is visualized, then physics-based understanding is enhanced, but the visual complexity and difficulty of comprehension increase
Solution Approach 1:
The patent applies different visual properties (colors, transparency levels) to different regions of the 3D model based on local physical quantity values. High-density regions are represented with distinct visual characteristics from low-density regions, allowing viewers to quickly identify and understand local variations in physical quantities without being overwhelmed by global complexity.
Solution Approach 2:
The patent employs a color gradient system where colors transition smoothly to represent continuous variations in physical quantities. This provides an intuitive visual scale that helps viewers immediately grasp the magnitude and distribution of physical quantities without requiring numerical analysis.
Data Source
AI summary
A three-dimensional object formation instruction apparatus receives information pertaining to distribution of a predetermined physical quantity in a three-dimensional space, and on the basis of the received information, determines a shape of a representation body representing the physical quantity, and then, on the basis of the received information, determines a position at which the representation body representing the physical quantity is to be arranged. The three-dimensional object formation instruction apparatus generates a three-dimensional object formation instruction including an instruction to form an object having the determined shape at the determined position, and outputs the generated instruction.