Encompassing nature, science, art, architecture, and spirituality, and illustrated with over 700 photographs and line drawings, The Hidden Geometry of Life illuminates the secret underpinnings of existence. In her trademark easy-to-understand style, mathematician Karen French shows how sacred geometry permeates every level of being, manifesting itself in simple shapes and numbers, music and sounds, light and color, even in the mysteries of creation itself. But these geometrical archetypes are more than the building blocks of reality: they are gateways to profound new levels of awareness.

Encompassing nature, science, art, architecture, and spirituality, and illustrated with over 700 photographs and line drawings, "The Hidden Geometry of Life" illuminates the secret underpinnings of existence. In her trademark easy-to-understand style, mathematician Karen French shows how sacred geometry permeates every level of being, manifesting itself in simple shapes and numbers, music and sounds, light and color, even in the mysteries of creation itself. But these geometrical archetypes are more than the building blocks of reality: they are gateways to profound new levels of awareness.

Encompassing nature, science, art, architecture, and spirituality, and illustrated with over 700 photographs and line drawings, "The Hidden Geometry of Life" illuminates the secret underpinnings of existence. In her trademark easy-to-understand style, mathematician Karen French shows how sacred geometry permeates every level of being, manifesting itself in simple shapes and numbers, music and sounds, light and color, even in the mysteries of creation itself. But these geometrical archetypes are more than the building blocks of reality: they are gateways to profound new levels of awareness.

Bestselling author and astrophysicist Mario Livio examines the lives and theories of history’s greatest mathematicians to ask how—if mathematics is an abstract construction of the human mind—it can so perfectly explain the physical world. Nobel Laureate Eugene Wigner once wondered about “the unreasonable effectiveness of mathematics” in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that—mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true. Is mathematics ultimately invented or discovered? If, as Einstein insisted, mathematics is “a product of human thought that is independent of experience,” how can it so accurately describe and even predict the world around us? Physicist and author Mario Livio brilliantly explores mathematical ideas from Pythagoras to the present day as he shows us how intriguing questions and ingenious answers have led to ever deeper insights into our world. This fascinating book will interest anyone curious about the human mind, the scientific world, and the relationship between them.

A fully illustrated inspirational art book from visionary painter Francene Hart • Includes more than 80 full-color reproductions of Hart’s intricate watercolor paintings and the stories behind them • Recounts the evolution of her art and her discovery of the hidden order of Nature that led to her masterful artistic integrations of Nature, Spirit, and Sacred Geometry • Explores how to tap into the energies provided by spirit guides and power animals, like Jaguar, Raven, Octopus, and Dolphin, and harness the intelligence of the heart for creative inspiration and vision Every one of us possesses the potential to receive visionary experiences and integrate them into our lives. Artists become visionaries by cultivating their instinctive creative spark and sharing their profound visions with the world. In this lavishly illustrated memoir, including more than 80 full-color reproductions of her intricate watercolor paintings and the stories behind them, Francene Hart recounts the evolution of her art from formative influences to her masterful integrations of Nature, Spirit, and Sacred Geometry. Opening with her early work on mandalas and her explorations of the work of Joseph Campbell and C. G. Jung, Hart explains how her first works of art were in response to the solitary life she led in the forest, where she discovered the hidden order of Nature. She reveals how she learned to center her artistic explorations on the intelligence of the heart rather than the intellect, utilizing the wisdom and imagery of Sacred Geometry, reverence for the natural environment, and the interconnectedness between all things as her inspirations. She describes the shamanic lessons that accompanied her discoveries and shaped her understanding of sacred relationships with the self, others, and Mother Earth. She explores how to tap into the energies provided by spirit guides and power animals, like Jaguar, Raven, Octopus, and Dolphin, and explains her profound affinity for the ocean, including her discovery of water consciousness in Hawaii. Offering chronicles of her inspiring travels and transformational encounters around the world, Hart shares her experiences at sacred sites in the Amazon, Central America, Egypt, England, Scotland, Paris, Cambodia, and the Himalayas and how these places influenced her art. Exploring what is revealed as inspiration arises, Spirit informs, and vision is transformed into art, Francene Hart’s journey offers a window into the secret order of Nature, the power of sacred symbols for evolving consciousness, and a visionary artistic path that perfectly blends the mathematical rigors of sacred geometry and the numinous.

A comprehensive guide to the cosmic influences that underlie health and how to apply them for profound health and healing • Examines how ancient and modern traditions of healing interconnect through the doctrine of signatures, “As above, so below” • Reveals how one’s astrological chart has implications for personal health and healing • Explains how each sign of the zodiac corresponds not only to parts of the body and its chakras but also to specific plants, herbs, colors, and emotions • Explores how to use sound healing to harmonize astrological imbalances When we look at the vast and intricate cosmos--galaxies, planets, organisms, organs, cells, molecules, atoms--there is a fundamental order, a music or harmony of the spheres. Our cells reflect the images of galaxies seen through our telescopes. We are the microcosm, reflecting the macrocosm of the heavens. Our ancestors understood these patterns and connections between humanity and the universe and developed spiritual and healing traditions in line with these cosmic truths. Yet in the 19th century, knowledge of these connections was set aside as medical science sought to create the “one size fits all” approaches to healing that dominate modern medicine today. In this comprehensive exploration of the celestial influences that underlie health and healing, Jennifer Gehl, with Marc Micozzi, examines how ancient and modern traditions of healing interconnect through the doctrine of signatures, “As above, so below”. She reveals how one’s celestial nature--the arrangement of the cosmos at the moment of birth--has implications for personal health and how each sign of the zodiac corresponds to parts of the body, the chakras, and specific plants, herbs, colors, and emotions. She explains how sound re-arranges forms according to the principles of harmony, leveraging not only the human self-regulating capacity to restore health but also that of the Earth to restore balance and harmony. Also explored are the recurrence of geometric forms in nature and how to apply this knowledge in sound healing and medical astrology. Weaving together the threads of ancient science and spirit that formed the original tapestry of medicine, Gehl explains how to restore the cosmic foundations of healing for personal, planetary, and universal health and wellbeing.

An illustrated guide to harmonics--the sacred geometry principles that underlie the natural world--and its practical applications • Demonstrates how the vesica piscis is a matrix from which ideas and forms emanate, connecting cosmic time cycles, measures of space, and musical tones • Provides harmonic analyses of ancient sculpture, architecture, the solar system, the Earth-Moon relationship, and the structure of water and waves • Explains how to apply sacred geometry to create building floor plans, pottery figures, gardens, and sacred ceremonial spaces We are in the midst of a revival of an ancient way of looking at the world--an approach that enabled great civilizations of the past to bring forth inventions of great beauty and power. This school of thought--harmonics--envisioned the natural world and the solar system as an interlocking matrix of harmonious numbers, perfectly woven into the creative fabric of life and the surrounding universe. Exploring the art and science of harmonics, John Oscar Lieben shows how to create harmonious forms using the ancient tools of number, geometry, and musical tone--an approach that resonates with nature’s own ways of creation. He demonstrates many practical applications that result from the study of harmonics, providing analyses of ancient sculpture and architecture, as well as original examples of building floor plans, pottery figures based on planetary proportions, gardens based on harmonic principles, and ceremonial spaces that honor cosmic harmonies and sacred geometric relationships. Showing how harmonics can also be applied to the mysteries of time and space, the author demonstrates how the vesica piscis and many other variations of the vesica shape reveal numerical synchronicities and correspondences that connect cosmic time cycles, measures of space, and musical tones. The author applies harmonics and the “vesica construction” matrix to illustrate many of nature’s wonders, including the Earth-Moon relationship, the interactions of the Golden Number and the musical scale, and how the Flower of Life symbol connects the universal field with the pattern of raindrops falling on a pond. Offering an approach to sacred geometry that pairs the mystical with the practical, the cosmic with the earthly, the author reveals how the art and science of harmonics should be required study for both the artist and the seeker of eternal truths as well as the scientist who seeks an entrance into the sacred foundations of nature.

A beautiful and original book from a renowned thinker and geometrist

The brain is an orchestra playing a harmonious symphony of the Mind that we experience as the unity of our picture of the world and ourselves in this world. Violations of this process, which we call mental pathologies, lead to dissonances and even complete disintegration of the picture. How do billions of neurons perform this symphony? In other words, how does the brain create a coherent and integral model of reality while maintaining the identity of each encoded signal? In neuroscience, this question is called the binding problem. The harmony of the Mind is a physical phenomenon, and it must be explained physically. The author solves this riddle, based on the Theory of Energy Harmony and the Teleological Transduction Theory developed in the previous volumes of the series. The book describes the physical binding mechanism that makes the symphony of the Mind harmonious and reveals the subtle nuances of its physiological implementation in the brain.

In teaching one the art of singing, the constant emphasis on good breath, phrasing and enunciation, tone and poise, text and character becomes, although probably not intended, a rigid mental processing for both student and mentor. Studies autonomously without filtering through the emotional self, the mental act will not rise to true feeling and original art. The mental component fits into a greater dynamic configuration in order to define interpretation, communication, and artistic beauty in singing. The Art of Singing. The Science of Emotions is a voyage still in progress. Tentatively engraved in this volume, the first impressions after eighteen-year search of artistic truth are collected as a compendium of thoughts and excitements with elucidations on both rational and emotional landscapes. The book traces concepts of science, art, spirituality, and philosophy mirrored in the ideal performing the self through singing.