ARTHUR HARRY CHURCH, M.A., D.SC., - On the Relation of Phyllotaxis to Mechanical Law

Sacred Science Institute, 2006. 4to - over 9¾ - 12" tall, Hardcover, Hard Cover Maroon Suede Guilt, No Jacket, New. ¶ Exact Facsimile Reprint of Original Edition Published: 1904 353p. A Rare & Magnificent Work On The Ordering Processes Of Plant Growth Through Dual Spiral Numerical Series, & Explaining The Laws Which Govern This Order. These Same Growth Patterns Are Found Within All Aspects Of Nature Including The Mass Psychological Emanations Of The Financial Markets. A Beautifully Illustrated & Important Work. Contents: Part I: Construction By Orthogonal Trajectories; Historical Sketch: Fibonacci; Bonnet, Spiral Theory Of Schimper, Bravais, Sachs; General Observations Of 5 Plant Types; Geometrical Representations Of Growth; The First Zone Of Growth; Vortex Representation; Geometry Of Uniform Growth Expansion; Application Of Spiral Vortex Construction; Possible Arrangements; Concentration--Systems; Construction Of Log. Spiral Curves; Application To Plants; Helices & Spirals Of Archimedes; Ideal Angles; Suggestions Of Wiesner; Asymmetry. Part II Asymmetrical & Symmetrical Phyllotaxis: Normal Fibonacci Phyllotaxis: Conception Of Bulk Ratio; Constant Phyllotaxis; Rising Phyllotaxis; Fibonacci Expansion; Falling Phyllotaxis; Asymmetrical Floral Diagrams; The Symmetrical Concentrated Type; Asymmetrical Least Concentrated Type; Symmetrical Non-Concentrated Type; Multijugate Type; Bravais; Expansion System; Anomalous Series; Dichotomy; Conclusions. Part III Secondary Growth-Phenomena: Notation; Rhythm: Theory Of Growth-Center & Lateral Centers; Periodicity; The Log. Spiral Theory Of Equi-Growth- Potential; Contact-Pressures; Theories Of Schwendener & Weisse; Apex; Reciprocal Pressures & Quasi-Squares; Influence Of Rigid Boundary; Packing; Bud; Seedling; Hexagonal Faceting; Eccentric-Growth; Eccentric Homologues Of The Centric Growth-Center; Anisophylly & Dorsiventrality; Orientation Of Eccentric Shoot-Systems; Eccentric Flowers; Bilaterality Of Appendages: Structure Of Foliage-Bud; Phenomena Of Sliding-Growth; Displacements & Readjustments; Spiral Of Dorsiventrality; Spiral Of Phyllody; Representation Of Extreme Bilaterality; Contact-Cycles; Varying Growth In Lateral Members: Retention Or Obliteration Of The Primary Pattern; Production Of A Normal Foliage-Leaf; Mathematical Notes On Log. Spiral Systems & Their Application To Phyllotaxis Phenomena; General Equation To Quasi-Circle Inscribed In A Log. Spiral Quasi Square Mesh: Bilaterality; Dorsiventrality; Isophylly; Mathematical Orthostichies In Log, Spiral Systems; The Form Of The "Ovoid" Curve; Bulk-Ratio; The Oscillation Angle; The Fibonacci Series; Continued Fractions; Sliding Growth; Pine Cones. Amazing!