This book contains thirtythree fullcolor illustrations. The title piece presents a beautifully simple proof that there is a central cube, constitutionally unique among all cubes, the absolute dead center cube. An illustration accompanies the proof. It is additionally proven that the hypercubic volume of this cube is uniquely constituted as a natural number. The mathematics of the unique cube and hypercube are then related to physical measures of magnitude and balance, and to the real trinary logic articulated in an earlier work, Foundation: Matter the Body Itself. The trinary logic is, in turn, shown to have a foundational relationship to the arithmetic and geometric series, to the series of perfect numbers, and to the BanachTarski paradox. Original geometric constructions based on the properties of the division in extreme and mean ratio are illustrated and further related to the logarithmic spiral and to the physical constants. Five appendices deal with Fibonacci’s rabbit tree, the rationality of the socalled irrationals, an understanding of mathematics without a notion of nothing, the New Jerusalem cube, and ceation ex nihilo, the latter related to the structure of the Trinity.
Contents
Preface
I The Absolute Dead Center Cube
II The Cube and Real Trinary Logic
III Real Trinary Logic Geometric Series
IV The Golden Section
2 The Golden Bowls & the Logarithmic Spiral
3 The Physical Constants: Functions of the ‘Golden Bowl’ Arrangements on the ΦLevel of Existence Itself
V Appendices
IndexD.G. Leahy is the author of Beyond Sovereignty: A New Global Ethics and Morality; Faith and Philosophy: The Historical Impact; Foundation: Matter the Body Itself; and Novitas Mundi: Perception of the History of Being. He is formerly Research Consultant to the Skin Sciences Institute, Children's Hospital Research Foundation, University of Cincinnati. He was tenured in Classics and has taught Religious Studies at New York University and is former Distinguished Visiting Professor of Philosophy at Loyola University Maryland.
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The Cube Unlike All Others
