Tile Assembly Geometry for Rarely Repeating Triangular Intersections
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Solution Overview
Problem
Existing tile designs fail to create surfaces with rarely repeating or almost never repeating shapes and designs at triangular intersections, leading to monotonous and easily replicable flooring and covering solutions, necessitating a cost-effective and unique design solution.
Innovation Solution
Utilizing a limited number of tile models, typically between 3 and 12, with specific geometric configurations and variations in perimeter shapes and internal surface parts, allowing for unique and aesthetically pleasing designs by optimizing production costs and assembly techniques.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Ease of manufacture
If traditional tile designs are used, then production costs are low and assembly is simple, but the designs are monotonous and easily replicable
Solution Approach 1:
The tile surface is divided into multiple distinct geometric shapes (triangles, quadrilaterals, pentagons, hexagons) that can be assembled in various configurations. This segmentation allows for diverse design patterns while maintaining standardized manufacturing processes for each shape type.
Solution Approach 2:
The tile set includes asymmetric shapes with varying numbers of sides and angular configurations. These asymmetric geometric forms create visually interesting patterns that are difficult to replicate exactly, providing design uniqueness while remaining manufacturable through precise molding or cutting processes.
2Adaptability or versatility
If geometrically configured tile models are used to create rarely repeating designs, then design uniqueness is improved, but assembly complexity increases
Solution Approach 1:
Each tile shape is designed with specific geometric properties (angles, side lengths, curvature) that are optimized for its local role in the assembly. The triangular intersections specifically utilize precise angular relationships to create stable joints, while other areas use different geometric configurations, allowing complex overall design with manageable local assembly steps.
Solution Approach 2:
The tile designs incorporate curved edges and rounded corners in addition to straight geometric lines. These curved elements soften the complexity of the geometric configurations and provide natural alignment guides during assembly, reducing the perceived complexity while maintaining design uniqueness.
3Adaptability or versatility
If multiple tile models with varying shapes are used, then design variety is improved, but manufacturing precision requirements increase
Solution Approach 1:
The tile system varies geometric parameters (number of sides, angle measurements, curvature radii) across different tile models to achieve design variety. By systematically changing these parameters within controlled ranges, the invention creates multiple distinct tile shapes that can be manufactured using standard precision techniques without requiring extreme manufacturing tolerances.
Data Source
AI summary
Tile models and tile assemblies create surfaces with rarely repeating designs and shapes at triangular intersections of the tile models. Each model has the same perimeter of 3 outer curvature shapes when at a first orientation angle. The outer curvature shapes include a female side having a first area shape removed and added to an adjacent male side which fits with no gaps into the female side of other tiles. Each tile model has 3 different internal top surface parts that project inwards from the 3 outer curvature shapes to 3 internal curvature shapes, and that are different than those of the other models. The 3 different internal surface parts are configured to create a surface with rarely repeating shapes at triangular intersections between 3 tile models with one model at the first orientation angle, a second model rotated by 120 degrees, and a third model rotated by 240 degrees.