Advanced Constructive Geometry

GREAT PYRAMID PROPORTION
  Shadows of the Archytas equal-tempered proportions for the doubling of the cube in the Great Pyramid of Egypt

1.  PYRAMID OF EGYPT AND ARCHYTAS, I
2 .  ARCHYTAS AT DELPHI

3.  ARCHYTAS CONICAL FUNCTION
4.  BANNAKER PUZZLE OF PROPORTIONALITY
5.  BANNAKER-L’ENFANT PLAN OF WASHINGTON
6.  BERNOUILLI BRACHISTOCHRONE
7. DIOPHANTUS ART OF INVENTION
8. DOUBLING THE CUBE BY MUSICAL INTERVALS
OUR BIQUADRATIC UNIVERSE
10.  PONCELET PARADOX OF THE VANISHING POINT
11. HOW THE GREAT PYRAMID OF EGYPT WAS BUILT
12. A GEOMETRICAL METHOD TO INVESTIGATE THE FUTURE
13. HOW TO DELIGHT YOUR MIND WITH KEPLER’S SNOWFLAKE
14. LEONARDO AND GAUSS MODULAR WAVE FUNCTION AND THE PEACE OF WESTPHALIA
15. HAS THE EGYPTIAN PYRAMID SECRET BEEN FINALLY EXPLAINED?
16. THE LEIBNIZ DISCOVERY OF PRINCIPLE OF THE CALCULUS IN ACTA ERUDITORUM
17. GOTTFRIED LEIBNIZ, “ TWO PAPERS ON THE CATENARY CURVE AND LOGARITHMIC CURVE.”
18. LEIBNIZ’S PROMETHEAN PRINCIPLE OF CREATIVITY
19. GALACTIC THINKING AND THE DELIAN SOLUTION
20. BRUNELLESCHI’S MIND AND THE CATENARY PRINCIPLE
21. HOW LEIBNIZ CHANGED THE PAST FROM THE FUTURE
22. ARCHYTAS AND THE PRINCIPLE OF PROPORTIONALITY

23. WHAT SHOULD HAVE BEEN THE FUTURE
24. THE SOLFEGE TORUS
25. TORUS CONSTRUCTION

26. KEPLER’S SOLUTION TO THE CREATIVE PROCESS
27. THE ACROPOLIS OF ATHENS: THE CLASSICAL IDEA OF BEAUTY
28. THE ACROPOLIS OF ATHENS: THE CLASSICAL IDEA OF BEAUTY, PART II
29. ON THE CONSTRUCTIVE GEOMETRY OF PYTHAGORAS, NICHOLAS OF CUSA, AND PLASMA PHYSICS
30. BENJAMIN BANNEKER: PROPORTIONALITY AND THE BENEFIT OF THE OTHER