Sacred Geometry
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Sacred Geometry
Sacred geometry ascribes symbolic and sacred meanings to certain geometric shapes and certain geometric proportions. It is associated with the belief of a divine creator of the universal geometer. The geometry used in the design and construction of religious structures such as churches, temples, mosques, religious monuments, altars, and tabernacles has sometimes been considered sacred. The concept applies also to sacred spaces such as temenoi, sacred groves, village greens, pagodas and holy wells, Mandala Gardens and the creation of religious and spiritual art. As worldview and cosmology The belief that a god created the universe according to a geometric plan has ancient origins. Plutarch attributed the belief to Plato, writing that "Plato said God geometrizes continually" (''Convivialium disputationum'', liber 8,2). In modern times, the mathematician Carl Friedrich Gauss adapted this quote, saying "God arithmetizes". Johannes Kepler (1571–1630) believed in the ...
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Plutarch
Plutarch (; , ''Ploútarchos'', ; – 120s) was a Greek Middle Platonist philosopher, historian, biographer, essayist, and priest at the Temple of Apollo (Delphi), Temple of Apollo in Delphi. He is known primarily for his ''Parallel Lives'', a series of biographies of illustrious Greeks and Romans, and ''Moralia'', a collection of essays and speeches. Upon becoming a Roman citizen, he was possibly named Lucius Mestrius Plutarchus (). Family Plutarch was born to a prominent family in the small town of Chaeronea, about east of Delphi, in the Greek region of Boeotia. His family was long established in the town; his father was named Autobulus and his grandfather was named Lamprias. His brothers, Timon and Lamprias, are frequently mentioned in his essays and dialogues, which speak of Timon in particular in the most affectionate terms. Studies and life Plutarch studied mathematics and philosophy in Athens under Ammonius of Athens, Ammonius from AD 66 to 67. He attended th ...
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Ancient Egyptian Architecture
Spanning over three thousand years, ancient Egypt was not one stable civilization but in constant change and upheaval, commonly History of ancient Egypt, split into periods by historians. Likewise, ancient Egyptian architecture is not one style, but a set of styles differing over time but with some commonalities. The best known example of ancient Egyptian architecture are the Egyptian pyramids and Sphinx, while excavated Egyptian temple, temples, palaces, tombs, and fortresses have also been studied. Most buildings were built of locally available mud brick and limestone by paid laborers and craftsmen. Monumental buildings were built using the post and lintel method of construction. Many buildings were Egyptian astronomy, aligned astronomically. Columns were typically adorned with Capital (architecture)#Pre-classical capitals, capitals decorated to resemble plants important to Egyptian civilization, such as the Cyperus papyrus, papyrus plant. Ancient Egyptian architectural motifs ...
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Honeybee
A honey bee (also spelled honeybee) is a eusocial flying insect within the genus ''Apis'' of the bee clade, all native to mainland Afro-Eurasia. After bees spread naturally throughout Africa and Eurasia, humans became responsible for the current cosmopolitan distribution of honey bees, introducing multiple subspecies into South America (early 16th century), North America (early 17th century), and Australia (early 19th century). Honey bees are known for their construction of perennial colonial nests from wax, the large size of their colonies, and surplus production and storage of honey, distinguishing their hives as a prized foraging target of many animals, including honey badgers, bears and human hunter-gatherers. Only 8 surviving species of honey bees are recognized, with a total of 43 subspecies, though historically 7 to 11 species are recognized. Honey bees represent only a small fraction of the roughly 20,000 known species of bees. The best-known honey bee is the wes ...
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Logarithmic Spiral
A logarithmic spiral, equiangular spiral, or growth spiral is a self-similarity, self-similar spiral curve that often appears in nature. The first to describe a logarithmic spiral was Albrecht Dürer (1525) who called it an "eternal line" ("ewige Linie"). More than a century later, the curve was discussed by René Descartes, Descartes (1638), and later extensively investigated by Jacob Bernoulli, who called it ''Spira mirabilis'', "the marvelous spiral". The logarithmic spiral is distinct from the Archimedean spiral in that the distances between the turnings of a logarithmic spiral increase in a geometric progression, whereas for an Archimedean spiral these distances are constant. Definition In polar coordinates (r, \varphi) the logarithmic spiral can be written as r = ae^,\quad \varphi \in \R, or \varphi = \frac \ln \frac, with e (mathematical constant), e being the base of natural logarithms, and a > 0, k\ne 0 being real constants. In Cartesian coordinates The logarithmi ...
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Chambered Nautilus
The chambered nautilus (''Nautilus pompilius''), also called the pearly nautilus, is the best-known species of nautilus. The shell, when cut away, reveals a lining of lustrous nacre and displays a nearly perfect equiangular spiral, although it is not a golden spiral. The shell exhibits countershading, being light on the bottom and dark on top. This is to help avoid predators, because when seen from above, it blends in with the darkness of the sea, and when seen from below, it blends in with the light coming from above. The range of the chambered nautilus encompasses much of the south Pacific; It has been found near reefs and on the seafloor off the coasts of Australia, Japan, and Micronesia. The eyes of the chambered nautilus, like those of all ''Nautilus'' species, are more primitive than those of most other cephalopods; the eye has no lens and thus is comparable to a pinhole camera. The species has about 90 cirri (referred to as "tentacles"; see ) that do not have suckers, ...
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Patterns In Nature
Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature. The modern understanding of visible patterns developed gradually over time. In the 19th century, the Belgian physicist Joseph Plateau examined soap films, leading him to formulate the concept of a minimal surface. The German biologist and artist Ernst Haeckel painted hundreds of marine organisms to emphasise their symmetry. Scottish biologist D'Arcy Thompson pioneered the study of growth patterns in both plants and animals, showing that simple equations could explain spiral growth. In the 20th century, the British mathematician Alan Turing predicted mechanisms of morp ...
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Fibonacci Number
In mathematics, the Fibonacci sequence is a Integer sequence, sequence in which each element is the sum of the two elements that precede it. Numbers that are part of the Fibonacci sequence are known as Fibonacci numbers, commonly denoted . Many writers begin the sequence with 0 and 1, although some authors start it from 1 and 1 and some (as did Fibonacci) from 1 and 2. Starting from 0 and 1, the sequence begins : 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... The Fibonacci numbers were first described in Indian mathematics as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths. They are named after the Italian mathematician Leonardo of Pisa, also known as Fibonacci, who introduced the sequence to Western European mathematics in his 1202 book . Fibonacci numbers appear unexpectedly often in mathematics, so much so that there is an entire journal dedicated to their study, the ''Fibonacci Quarterly''. Appli ...
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Stephen Skinner (author)
Stephen Skinner (born 22 March 1948) is an Australian writer, editor, publisher and lecturer. He is known for authoring books on magic, feng shui, sacred geometry and alchemy. He has published more than 46 books in more than 20 languages. Early life and education Born in Sydney, Australia in March 1948, he lived there till 1972. He attended Trinity Grammar Preparatory School (Strathfield) and Sydney Grammar Secondary School from 1959 to 1964, matriculating with First Class Honors in English, and honors in Geography. He earned his BA (Arts) at Sydney University from 1965 to 1968, majoring in English Literature and Geography, plus Philosophy (Greek Philosophy and formal Logic). In 1967 he launched and edited two underground magazines in Sydney, titled ''Lucifer'' and ''Chaos''. He worked for one year in the Intelligence section of the Department of Trade & Industry (1969), before an interest in the stock market lead to working full-time as a portfolio manager. From there he ...
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Shing-Tung Yau
Shing-Tung Yau (; ; born April 4, 1949) is a Chinese-American mathematician. He is the director of the Yau Mathematical Sciences Center at Tsinghua University and professor emeritus at Harvard University. Until 2022, Yau was the William Caspar Graustein Professor of Mathematics at Harvard, at which point he moved to Tsinghua. Yau was born in Shantou in 1949, moved to British Hong Kong at a young age, and then moved to the United States in 1969. He was awarded the Fields Medal in 1982, in recognition of his contributions to partial differential equations, the Calabi conjecture, the positive energy theorem, and the Monge–Ampère equation. Yau is considered one of the major contributors to the development of modern differential geometry and geometric analysis. The impact of Yau's work are also seen in the mathematical and physical fields of convex geometry, algebraic geometry, enumerative geometry, mirror symmetry, general relativity, and string theory, while his work h ...
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Dartmouth College
Dartmouth College ( ) is a Private university, private Ivy League research university in Hanover, New Hampshire, United States. Established in 1769 by Eleazar Wheelock, Dartmouth is one of the nine colonial colleges chartered before the American Revolution. Emerging into national prominence at the turn of the 20th century, Dartmouth has since been considered among the most prestigious undergraduate colleges in the United States. Although originally established to educate Native Americans in the United States, Native Americans in Christian theology and the Anglo-American way of life, the university primarily trained Congregationalism in the United States, Congregationalist ministers during its early history before it gradually secularized. While Dartmouth is now a research university rather than simply an undergraduate college, it continues to go by "Dartmouth College" to emphasize its focus on undergraduate education. Following a liberal arts curriculum, Dartmouth provides unde ...
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