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Lawrence Edwards researched and taught projective geometry for more than 40 years. Here, he presents a clear and artistic understanding of the intriguing qualities of this geometry. Illustrated with over 200 instructive diagrams and exercises, this book will reveal the secrets of space to those who work through them. It is also a valuable resource for Steiner-Waldorf teachers.

http://www.amazon.co.uk/gp/product/0863153933

In the book, Edward’s gave a fuller account of his research, widening it to include the forms of plants, embryos and organs such as the heart. His work suggests that there are universal laws, not yet fully understood, which guide an organism’s growth into predetermined patterns. His work has profound implications for those working in genetics and stem-cell research. Edwards died in 2004 at the age of 91 and Graham Calderwood has edited and revised this classic work.

http://www.amazon.co.uk/Vortex-Life-Natures-Patterns-Space/dp/0863155510

The book is written from a rather scientific standpoint so don’t expect a discussion on higher consciousness. However if you’ve ever considered the importance of a visualization in the use of sacred geometry such as ancient mandalas for meditation or energy projection you will find that nature manfiests through these scientic explorations and to some extent may validate some people’s belief that simply because we cannot see things doesn’t mean they are not there.

http://www.amazon.com/Cymatics-Study-Wave-Phenomena-Vibration/dp/1888138076

After extensive research, however, he found that it has extraordinary mathematical properties, suggesting that it may be no less than the source of the number system used when ancient humanity first built cities. He shows that the starcut diagram underlies many significant patterns and proportions across the world: in China, the shaman’s dance; in Egypt, the Great Pyramid; in Europe, a Raphael fresco; in Asia, the Vedic Fire Altar, and many others. This book is an intellectual adventure, written for a general reader without specialist knowledge. Illustrated with around 180 photographs, drawings and diagrams, it tells the story of many fresh discoveries, bringing sacred geometry to life in an original and inspiring way.

She shows the broad and profound nature of “counterspace”—etheric sunspace—and sheds light on unsolved questions of science and life. Liberally quoting Rudolf Steiner, she places the development of mathematics and spiritual science within the context of the evolution of consciousness.
Anyone interested in projective geometry, the science of the etheric realm, and the future of thinking will find this a fruitful text.

http://www.steinerbooks.org/detail.html?session=d&id=085440726x

Although science has explained in great detail the complex chemical and physiological nature of plants, it has neglected the study and recognition of how matter is arranged into the shape and pattern of living things. Goethe’s organic concept and Rudolph Steiner’s imaginative idea of formative forces have inspired the authors in this work….

“In order to describe these principles of form, it was necessary to folow new ideas contained in modern Projective Geometry — developing a new geometry of living things.”

http://www.amazon.com/gp/product/0394712315

Many people feel alienated by modern science and its impersonal view of our world, based on the concept of the ‘detached observer’. Our human intuitions suggest that we need a broader-based science which can encompass phenomena currently excluded, such as human consciousness, qualities and values. In this groundbreaking book, Nick Thomas presents a wider view of science using the theory of ‘counterspace’. Counterspace exists alongside space as we know it, and was first proposed by Rudolf Steiner, and developed by the Cambridge mathematician George Adams. Through its startling lens, key aspects of our world – such as gravity, time, light and colour, as well as the stars, the solar system, and the classical elements – can be viewed and understood in dynamically new ways.Thomas’ work and ideas are on the cusp of a true revolution in the way modern scientific method can penetrate even deeper into the mysteries of our natural world.

http://www.amazon.com/gp/product/0863156703

Steiner suggested that it was important to understand counterspace as a necessary supplement to the conventional approach. His colleague George Adams found a way of describing counterspace through mathematics.

This book seeks to relate the phenomena of our world to both space and counterspace, in order to lead to a new scientific understanding. If counterspace is real, then the resulting interplay between it and ‘ordinary’ space must be significant. This concept is applied to gravity, liquids, gases, heat, light, chemistry and life. Each aspect is a separate investigation, but the various threads begin to weave into a unified whole. A new concept of time, and indications for a new approach to relativity and quantum physics begin to emerge.

The results presented in this book are part of a ‘work-in-progress’, shared by others around the world, involving a new scientific consciousness. It attempts to approach a spiritual understanding without surrendering scientific and mathematical rigour.

NOTE: This book contains advanced mathematical and scientific proofs which are likely to be too difficult for the general reader.

NICK THOMAS trained as an electrical engineer in the Royal Air Force, serving as an engineering officer for sixteen years and, subsequently, worked in data communications for Nortel. He then became General Secretary of the Anthroposophical Society in Great Britain for 21 years. With Lawrence Edwards and John Wilkes he researched the practical application of projective geometry. His major research interest is the development and application of Steiner’s discovery of negative space to building a bridge between natural and spiritual science. He lectures widely on this and other subjects. His new book Space and Counterspace is just published.

http://www.templelodge.com/pages/viewbook.php?isbn_in=9781902636023

An Introduction to Modern Geometry
This classic examination of Projective Geometry will be a great aid to Waldorf teachers and others seeking to penetrate the thinking behind this important topic.

http://www.steinerbooks.org/detail.html?session=a&id=1888365366

Movements of the planets are found to correspond accurately with simple geometric figures and musical intervals, pointing to an exciting new perspective on the ancient idea of the “harmony of the spheres.”
Hartmut Warm’s detailed presentation incorporates the distances, velocities, and periods of conjunction of the planets, as well as the rotations of the Sun, Moon, and Venus. Numerous graphics?including color plates?illustrate the extraordinary beauty of geometrical forms that result when the movements of several planets are viewed in relation to one another. Moreover, the author describes and analyzes concepts of the “music of the spheres,” with special emphasis on Kepler’s revolutionary ideas. The book also discusses current scientific beliefs about the origin of the universe and the solar system, enabling the reader to understand fully how this remarkable research supplements contemporary materialistic views of the cosmos. The appendix includes his mathematical and astronomical methods of calculation, as well as a detailed discussion of their accuracy and validity based on modern astronomical algorithms.

Helmut Warm, born 1956, is a civil engineer and independent researcher in astronomy, geometry, the history of harmonics, and musical aesthetics. He has taught, lectured, and published widely on these and other subjects and, in particular, on his discoveries relating to the solar system and its inherent order. He lives in Hamburg, Germany.

It is the living movement of water that makes life on Earth possible. Based on spiritual science and on their own numerous experiments, Theodor and Wolfram Schwenk show that our Earth is a living organism, with water as a sensory organ that perceives vital cosmic influences and transmits them into earthly life. This pioneering classic on water is more relevant now than ever before.

http://www.rudolfsteinerpress.com/pages/viewbook.php?isbn_in=9780880102773

“…Theodor Schwenk is a seminal exponent of an alternative reading of nature… To study this book is a transforming experience in which meaning and beauty are restored to our world…” – Kathleen Raine

Why does water always take a winding course in streams and rivers? Do common principles and rhythms underlie its movement – whether it be in the sea, in a plant, or even in the blood of a human being?

In this seminal and thought-provoking work, the laws apparent in the subtle patterns of water in movement are shown to be the same as those perceptible in the shaping of bones, muscles and a myriad of other forms in nature. Fully illustrated, Sensitive Chaos reveals the unifying forces that underlie all living things. The author observes and explains such phenomena as the flight of birds, the formation of internal organs such as the heart, eye and ear, as well as mountain ranges and river deltas, weather and space patterns, and even the formation of the human embryo.

A perennial bestseller since publication, Sensitive Chaos is an essential book for anyone interested in the mysteries of life on earth.

THEODOR SCHWENK (1910-1986) was a pioneer in water research. He founded the Institute for Flow Sciences for the scientific study of water’s movement and its life-promoting forces. A prolific writer and lecturer, he contributed original insights to the production of homeopathic and anthroposophic medicines, developed ‘drop-pictures’ for analysing water quality and methods for healing polluted and ‘dead’ water.

that the way to cognizing the spiritual world is based on the natural scientific attitude, and that certainty of such knowledge is comparable to the certainty found in mathematics and natural science.

Drawn from Schiller’s notebooks, this important volume describes natural scientific research by scientists working at the Goetheanum and following suggestions from Rudolf Steiner, leading, for example, to research on gases at low temperatures and high vacuum. The Schiller File is an important resource for those who wish to better understand how to approach and practice natural science from the perspective of spiritual science

http://www.rudolfsteinerpress.com/pages/viewbook.php?isbn_in=9780880107204

Over 40 years’ research has been carried out on the positive effects that rhythms and specific water flow has on water’s capacity to support life. Energizing Water presents this cutting-edge research to the general and professional reader at a time when interest in finding solutions to water’s huge worldwide problems is growing rapidly.

Three aspects determine water quality: its chemical constituents (including its oxygen levels); its organic aspects (with the danger of contamination by effluent, pathogens and algae); and its ‘energetic’ nature. The latter facet has been recognized from time immemorial by traditional societies, who have developed their own sciences in relation to water quality, using terms such as prana and chi for energy. Now, through the introduction of quantum physics into the life sciences, modern science is beginning to accept this concept, measuring energy as light emission.Research into energetic water quality – and particularly into the creation of moulded surfaces that support biological purification of the chemical and organic elements, as well as enlivening the energetic attributes – goes back to George Adams’ and John Wilkes’ pioneering work in the 1960s. The invention of Flowform technology in 1970 carried this research further, providing the world with one of the first modern-day, biomimicry eco-technologies. This creative technology applies nature’s best methods to produce extraordinary results, and this book outlines the background story on research and application of the Flowform method today.

JOHN WILKES originated the Flowform Method in 1970 following periods of work with George Adams and Theodor Schwenk. After further research, project work led to installations in many countries. In 2002 an Institute was built at Emerson College providing more adequate space for research into the qualitative effects of rhythmic movement on water.
JOCHEN SCHWUCHOW is a freelance research and teaching consultant at Emerson College in England.
IAIN TROUSDELL is director of the Healing Water Institute in NZ.

Steiner leads us to the brink of this new perspective – as nearly as it can be done with words, diagrams, analogies and examples of many kinds. In doing so, he continues his lifelong project of demonstrating that our objective, everyday thinking is the lowest rung of a ladder that reaches up to literally infinite heights.