A Blueprint for Geometry


Book Description

Students become junior architects using geometry skills, particularly measurement and scale drawing in this project.




The Geometry of Creation


Book Description

The flowering of Gothic architecture depended to a striking extent on the use of drawing as a tool of design. By drawing precise "blueprints" with simple tools such as the compass and straightedge, Gothic draftsmen were able to develop a linearized architecture of unprecedented complexity and sophistication. Examination of their surviving drawings can provide valuable and remarkably intimate information about the Gothic design process. Gothic drawings include compass pricks, uninked construction lines, and other telltale traces of the draftsman's geometrically based working method. The proportions of the drawings, moreover, are those actually intended by the designer, uncompromised by errors introduced in the construction process. All of these features make these drawings ideal subjects for the study of Gothic design practice, but their geometry has to date received little systematic attention. This book offers a new perspective on Gothic architectural creativity. It shows, in a series of rigorous geometrical case studies, how Gothic design evolved over time, in two senses: in the hours of the draftsman's labor, and across the centuries of the late Middle Ages. In each case study, a series of computer graphics show in unprecedented detail how a medieval designer could have developed his architectural concept step by step, using only basic geometrical operations. Taken together, these analyses demonstrate both remarkable methodological continuity across the Gothic era, and the progressive development of new and sophisticated permutations on venerable design themes. This rich tradition ultimately gave way in the Renaissance not because of any inherent problem with Gothic architecture, but because the visual language of Classicism appealed more directly to the pretensions of Humanist princes than the more abstract geometrical order of Gothic design, as the book's final chapter demonstrates.




A Blueprint for Geometry


Book Description

Students become junior architects using geometry skills, particularly measurement and scale drawing in this project.




Sacred Geometry and Spiritual Symbolism


Book Description

"Unifying spirit and science through geometry and symbolism"--From publisher description.




Dense Sphere Packings


Book Description

The definitive account of the recent computer solution of the oldest problem in discrete geometry.




The Venus Blueprint


Book Description

In 2010, Richard Merrick took a family trip to Scotland's Rosslyn chapel—the enigmatic fifteenth-century temple made famous by Dan Brown's The Da Vinci Code. Little did he know he was about to embark upon an intellectual and personal journey that would lead to the discovery of a real-life lost symbol—one that reveals the connection between the world's most sacred temples and opens up a treasure trove of lost science and ancient secrets. The symbol he discovers—the Venus Blueprint—is based on that planet's orbital pattern, which takes the shape of a five-pointed star when seen from Earth. As Merrick digs deeper, he realizes the Venus Blueprint was an integral part of the design template of some of the most significant religious architecture around the world--including St. Peter's Basilica in the Vatican, the Roman Pantheon, the Greek Parthenon, the Temple of Jerusalem, and the Great Pyramid of Giza, as well as many buildings designed by the secretive Freemason society. Upon further examination, Merrick is astounded to discover that temples designed using the Venus Blueprint are endowed with extraordinary acoustics that, when supplied with the right tones and frequencies, are capable of harmonizing with Earth's resonant frequencies and evoking altered states of consciousness. He then proposes a fascinating idea: Could it be that the ancients used these harmonics to enhance entheogenically induced visions—to commune with the divine and liberate the gods within? Supported by an impressive array of historical research and scientific analysis, The Venus Blueprint offers compelling evidence of an ancient lost culture that was both spiritually and scientifically advanced.




Hypergeometry


Book Description

Introduction to Hyperspace Geometry




Basic Blueprint Reading


Book Description




Learning Through Problem Solving


Book Description

The articles in this special issue represent the findings of researchers working in classroom settings to explore key issues in learning through problem solving. Although they vary in the domains being studied, the age of students, and the methods they employ, there are numerous common themes that can inform both theory and practice. The authors have grappled with the complex task of putting problem-based curricula into practice. They report here the difficulties they faced, the factors contributing to their successes, and the lessons they have learned.




The Theory and Practice of Conformal Geometry


Book Description

An expert on conformal geometry introduces some of the subject's modern developments. Topics include the Riemann mapping theorem, invariant metrics, automorphism groups, harmonic measure, extremal length, analytic capacity, invariant geometry, and more. 2016 edition.