The Simulacrum System expresses the sum of two values as a value and a ratio. When that ratio was pi, it made obvious that there are two definitions used for pi, one based on radius and the dictionary definition based on diameter. The radius-based system (RBS) has been well-developed through geometry, trigonometry, integral calculus, and others. The diameter-based system (DBS) has not been developed until now.
The New Model for Dimensions (NMD) is a model for the DBS that shows the pattern behind dimensions and expresses three dimensions in only two equations. It is more efficient and yet provides more information. That same model was generalized to the Generalized New Model for Dimensions (GNMD). The GNMD was applied to a unit mass, m1, to get the Dimension Model of Mass (DMM).
The DMM accurately describes 10 of the first 20 elements of the Periodic Table of Elements (PTE) using the first two terms, that are the same as the NMD and GNMD using a unit mass, the third term of the DMM is a Unit Deconstruction that describes 9 more of the first 20 elements of the PTE. So, the first three terms of the DMM accurately describe 19 of the first 20 elements of the PTE! The fourth term of the DMM was added to model all other elements.
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