Multidimensional Land Rights Tracking via Set Operations
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Solution Overview
Problem
Current methods for tracking real property rights, particularly mineral ownership rights, are prone to errors due to their complexity in multidimensional space, often requiring manual tracking and relying on scalar percentages, which are inadequate for accurately conveying and managing rights across multiple dimensions.
Innovation Solution
A system that represents land use rights as bounded spaces with specific intervals, allowing for precise tracking of rights by using set operations to compute and visualize conveyances across multiple dimensions, including right type, tract dimensions, depth, mineral type, and time, ensuring accurate representation and management of rights.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If manual tracking methods with scalar percentages are used, then the system is simple to operate, but the measurement precision and reliability of rights tracking deteriorate in multidimensional scenarios
Solution Approach 1:
The patent segments the unified property right into multiple distinct rights (Executive, Bonus, Delay, Royalty, Ingress/Egress), each tracked separately as individual 'sticks' in the bundle. This segmentation allows precise tracking of each right's conveyance across different dimensions (horizontal coordinates, depth, time, mineral types) while maintaining systematic organization through structured data models that record ownership, conveyances, and relationships for each right type independently.
Solution Approach 2:
The patent transitions from traditional scalar percentage tracking to a multidimensional tracking system that monitors rights across five dimensions: horizontal coordinates (x, y), vertical depth (z), time (t), and right type (r). This dimensional expansion enables precise representation of complex property interests by capturing conveyances in multiple axes simultaneously, using coordinate systems and temporal stamps to track the exact scope and duration of each right's transfer.
2Reliability
If traditional spreadsheet methods are used, then the ease of operation is maintained, but the reliability and accuracy of tracking collide interests across the title chain deteriorate
Solution Approach 1:
The patent introduces a computer system with structured databases and automated computational algorithms as an intermediary between the complex multidimensional rights data and the user. This intermediary handles the computationally intensive tasks of tracking conveyances across multiple dimensions, resolving conflicts in the title chain, and calculating ownership interests, while presenting simplified interfaces and reports to users. The system automatically processes the complexity of multidimensional tracking, relieving users of manual calculation burdens while ensuring accuracy.
Solution Approach 2:
The patent creates digital copies and representations of physical property rights documents and conveyances in a structured database format. Each conveyance is captured as a digital record containing all relevant dimensional information (coordinates, depth, time, right type), which can be stored, retrieved, and processed without the errors and ambiguities of manual transcription. This digital copying enables automated tracking and verification of the title chain while maintaining the original rights' integrity.
3Manufacturing precision
If scalar percentages are used to represent rights, then the simplicity of representation is maintained, but the manufacturing precision of conveying exact rights deteriorates
Solution Approach 1:
The patent segments the conveyance process into distinct components corresponding to each right type (Executive, Bonus, Delay, Royalty, Ingress/Egress). Instead of using a single scalar percentage to represent the entire property interest, the system tracks the conveyance of each segmented right independently, recording the specific portion conveyed for each stick in the bundle. This segmentation enables precise representation of partial interests and complex conveyances that cannot be accurately captured by a single percentage value.
Solution Approach 2:
The patent replaces scalar percentage representation with a multidimensional coordinate system that tracks conveyances across horizontal coordinates (x, y), vertical depth (z), time (t), and right type (r). This dimensional approach allows precise specification of the exact scope and boundaries of conveyed rights, capturing spatial, temporal, and categorical dimensions that scalar percentages cannot represent. The system records conveyances as multidimensional objects with explicit boundaries and attributes rather than aggregate percentages.
Data Source
AI summary
Land use rights management where land use rights are represented as bounded space, and portions of rights are represented as portions of whole rights. The portions are specifically designated subspaces within the bounded space. Tracking land use rights conveyance with the representations includes tracking conveyances as subdivisions of whole or partial subspaces within the bounded space, each subspace also bounded. The management system can compute subdivisions with set operations on the subspaces and bounded space.