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Fractional Harmonics and Star Polygons By Gary Doskas
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This book has its roots in a previous publication of mine, Spherical Harmony: A Journey of Geometric Discovery. I will introduce the concept of spherical harmonics, but the main focus will be on... More > fractional harmonics and their associated polygram, or star polygon. There exists a unique fractional harmonic of each of the infinite number of star polygons. Much has been written about the pentagram and the golden ratio that is embedded in its geometry. However, it was the heptagon and associated heptagram that really piqued my interest. So I decided to explore the heptagram since I didn't know much about its geometric properties or characteristics and there wasn't much written about them either. The prime number seven has a special place in the ancient world and was referred to as the virgin number and was the most sacred number in many religions. some amazing ratios of proportion.< Less
Spherical Harmony : A Journey of Geometric Discovery : Full Edition By Gary Doskas
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What is remarkable about these geometric relationships is that they can be experi-enced through pure geometric construction using just a compass. This can easily be experienced by both the young and... More > mathematically inexperienced. Knowledge of spherical trigonometry is NOT required and only basic trigonometry is required to explore the more complex relationships in more detail.< Less
Spherical Harmony : A Journey of Geometric Discovery : Primer Edition By Gary Doskas
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THIS IS THE FIRST 35 PAGES OF FULL EDITION: What is remarkable about these geometric relationships is that they can be experi-enced through pure geometric construction using just a compass. This can... More > easily be experienced by both the young and mathematically inexperienced. Knowledge of spherical trigonometry is NOT required and only basic trigonometry is required to explore the more complex relationships in more detail.< Less
Spherical Harmony - Primer Edition By Gary Doskas
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THIS IS THE FIRST 35 PAGES IN BLACK AND WHITE OF FULL EDITION: What is remarkable about these geometric relationships is that they can be experi-enced through pure geometric construction using just a... More > compass. This can easily be experienced by both the young and mathematically inexperienced. Knowledge of spherical trigonometry is NOT required and only basic trigonometry is required to explore the more complex relationships in more detail.< Less
Sphere of Life VI By Gary Doskas
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Let’s assume some two-dimensional world has evolved to a point where it consists of an infinite number of two-dimensional shapes constructed from sheets of zero thickness. This world would... More > consist of polygon and elliptical shapes of all sizes. How could this world evolve or transform itself into a three-dimensional world? I will conclude this book with postulating the following theory on the evolution of the polyconix.< Less
Sphere of Life VI By Gary Doskas
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Let’s assume some two-dimensional world has evolved to a point where it consists of an infinite number of two-dimensional shapes constructed from sheets of zero thickness. This world would... More > consist of polygon and elliptical shapes of all sizes. How could this world evolve or transform itself into a three-dimensional world? I will conclude this book with postulating the following theory on the evolution of the polyconix.< Less
Spherical Harmony - Full Edition By Gary Doskas
Paperback: List Price: $58.60 $52.74 | You Save: 10%
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What is remarkable about these geometric relationships is that they can be experi-enced through pure geometric construction using just a compass. This can easily be experienced by both the young and... More > mathematically inexperienced people. Knowledge of spherical trigonometry is NOT required and only basic trigonometry is required to explore the more complex relationships in more detail.< Less
Planck's Playground: Geometry of a Black Hole By Gary Doskas
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Instead of taking the classical approach of breaking down larger objects (molecules/atoms and protons/neutrons/electrons) into their smaller constituent parts (quarks, leptons, and bosons), I will... More > take a different approach to describe the origins of the universe based on a simple geometric model. I will start with defining a particle with the smallest radius imaginable and describe their geometric evolution to larger particles.< Less
Planck's Playground: Geometry of a Black Hole By Gary Doskas
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Instead of taking the classical approach of breaking down larger objects (molecules/atoms and protons/neutrons/electrons) into their smaller constituent parts (quarks, leptons, and bosons), I will... More > take a different approach to describe the origins of the universe based on a simple geometric model. I will start with defining a particle with the smallest radius imaginable and describe their geometric evolution to larger particles.< Less