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The Mathematics of Beauty > Timeline

timeline 1000-4000 B.C. 0-1000 B.C. 1000-0 2000-1000

2000-1000

1987 - Michael Barnsley led development of Fractal Compression
1980s - Beginning of Fractal Art
1979 - Douglas Hofstadter's Gödel, Escher, Bach: An Eternal Golden Braid
1970s - Roger Penrose invents Penrose Tiling
1967 - Tons Brunes defines the Sacred Cut in The Secrets of Ancient Geometry and Its Use
1959 - Development of the Bézier Curve
1948 - Le Corbusier's Le Modulor
1940 - E.S. Loomis's The Pythagorean Proposition
1927 - Golden Ratio used in the construction of Villa Stein in Garches
1926 - First Geodesic Dome
1924 - b. Benoit B. Mandelbrot, father of fractals
1916 - Sierpinski Gasket
1915 - Sir D'Arcy Wentworth Thompson's On Growth and Form
1910-1980s - Abstract Geometric Art features squares and rectangles
1904 - Helge Von Koch's Koch snowflake
1898-1972 - M.C. Escher
1888 - Charles Howard Hinton's A New Era of Thought
1884 - Edwin Abbott's Flatland: A Romance of Many Dimensions
1882 - Ballard's The Solution of the Pyramid Problem
1867-1924 - Jay Hambidge
1826-1833 - Hokusai's Thirty-Six Views of Mount Fuji
1814-1895 - Ludwig Schläfli and the Schlafli symbol
1801-1887 - Gustav Theodor Fechner
1800-1900 - Hexagram universally adopted as symbol of Judaism
1792-1873 - U. S. Capitol
1776-1837 - John Constable
1776 - Betsy Ross sews first American flag, which features the pentagram
1753 - William Hogarth's Analysis of Beauty
1714 - Longitude Act
1707-1783 - Leonhard Euler
17th century - Polar coordinate system of analytic geometry
1654-1705 - Jacob Bernoulli
1650 - Completion of the Taj Mahal in Agra, India
1638 - Descartes describes the equiangular spiral
1601-1665 - Pierre de Fermat
1600-1800 - Decline of musical ratios in architecture
1596-1650 - Rene Descartes
1596 - Kepler's Cosmic Mystery
1584 - Serlio's treatise, The Five Books of Architecture
1571-1630 - Johannes Kepler
1569 - Mercator Projection
1564-1642 - Galileo Galilei
1525, rev. 1538 - Albrecht Durer's constructions of polygons in The Painter's Manual
1509 - Pacioli's Da Divina Proportione
1508-1580 - Palladio
1488 - Mattias Roriczer's Geometria Deutsch
1485-1490 - Leonardo da Vinci's Vitruvian Man
1482 - First printed edition of Euclid's Elements
1482 - Piero's De quinque corporibus regularibus
1474 - Piero's De prospectiva pingendi
1471-1528 - Albrect Durer
1464 - Completion of the Duomo in Florence
1452-1519 - Leonardo da Vinci
1450-1550 - Plaquettes popular in Rome, Florence, and Padua; Renaissance portrait medals popular in Italy
1445-1517 - Luca Pacioli
1436 - Alberti's Della pittura, with rules for perspective drawing
1431-1506 - Mantegna
1420-1492 - Piero della Francesca
1413 - Brunelleschi's peepshow
1404-1474 - Alberti
1400-1550 - International Gothic style
1400-1500 - Circular paintings and roundels prevalent in italy
1400 - Van Eyck discovers oil paint
1400 - Emergence of Renaissance architecture
1399?-1482 - Luca della Robbia
1386-1466 - Donatello
1377-1446 - Filippo Brunelleschi
1320-1328 - Construction of Cistercian monastery of Hauterive
1300-1500 - Early Tibetan Mandalas
1265-1321 - Dante Alighieri
1202 - Fibonacci's Liber abaci or Book of Calculation
Early 1200s - Carmina Burana manuscript written
1175-1250 - Leonardo Fibonacci
1150-1250 - Age of the Great Cathedrals
1145-1220 - Construction of Chartres Cathedral
1140-1144 - Abbot Suger rebuilss Abby Church of St. -Denis
1140 - Gothic style first popular in Paris
1100-1500 - Medieval and Renaissance altarpieces
1100-1400 - Stone mason guilds
1000 - Alhazen's Perspectiva, a compendium on optics

1000-0

685-691 - Dome of the Rock
532-537 Building of the Hagia Sophia in Constantinople
500 - First use of halos in Christian art
300 - Theorems of Pappus
140 - Ptolemy's Optica
118-128 - Building of the Pantheon in Rome
1st century - Rabbi Nehunia ben haKana, The Bahir
79 - Mount Vesuvius erupts
28 - Construction of the Garden Houses of Ostia

0-1000 B.C.

3 B.C. - First study of conic sections by Menaechmus, a pupil of Plato
27 B.C. - Vitruvius' De Architectura or Ten Books on Architecture
70-10 B.C. - Hero (Heron) of Alexandria
70?-10 B.C. - Vitruvius
100-50 B.C. Construction of the octagonal tower Horologion in Athens
135-70 B.C. - Theon of Smyrna's The Mathematics Useful for Understanding Plato
225 B.C. - Archimedes describes the spiral that now bears his name
262-190 B.C. - Apollonius of Perga, The Great Geometer
287-212 B.C. - Archimedes
300 B.C. - Euclid describes properties of the circle in Elements
300 B.C. - Euclid's construction of polygons in Elements
300 B.C. - Euclid's construction of a golden triangle in Elements
300 B.C. - Euclid's Optica, the first text on geometrical optics
360 B.C. - Plato's Timaeus
370 B.C. - First mention of the Quadrivium of Knowledge in Plato's dialogue, Theaetetus
387 B.C. - Plato's academy founded in northwest Athens
425 B.C. - Hippias of Elis
427-347 B.C. - Plato
447-437 B.C. - Construction begins on the Parthenon
460 B.C. - Hippocrates of Chios
493-433 B.C. - First mention of the four elements
499-427 B.C. - Anaxagoras
529 B.C. - Order of the Pythagoreans established
580-500 B.C. - Pythagoras and the Pythagorean theorem
624-546 B.C. - Thales of Miletus

1000-4000 B.C.

1700 B.C. - Rhind Papyrus or Directions for Knowing All Dark Things
1813-1638 B.C. - Abraham, Sefer Yetzirah
2400 B.C. - Construction of the Giza pyramids
2800 B.C. - Construction of the Great Pyramid of Cheops
3000 B.C. - Castlerigg stone circle
3500-30 B.C. - Ancient Egyptian Harpedonaptai use rope stretchers triangle to measure land

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