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Plane fractal constructed from squares
The Pythagoras tree is a plane fractal constructed from squares. Invented by the Dutch mathematics teacher Albert E. Bosman in 1942, it is named after
Pythagoras_tree_(fractal)
Topics referred to by the same term
Pythagoras tree may refer to: Tree of primitive Pythagorean triples Pythagoras tree (fractal) This disambiguation page lists articles associated with
Pythagoras_tree
Self-similar fractal curve
version of the letter "C". The curve resembles the finer details of the Pythagoras tree. The Hausdorff dimension of the C curve equals 2 (it contains open
Lévy_C_curve
Topics referred to by the same term
Look up Pythagoras or Pýþagóras in Wiktionary, the free dictionary. Pythagoras was a Greek mathematician and philosopher. Pythagoras may also refer to:
Pythagoras_(disambiguation)
Surname list
surname include: Albert E. Bosman, Dutch mathematic, inventor of the Pythagoras tree. André Bosman (born 1965), Dutch politician Andrea Bosman (born 1979)
Bosman
Pythagoras's constant – the square root of 2 Lute of Pythagoras – a geometric figure Pythagoras tree – a fractal geometric figure Table of Pythagoras
List of things named after Pythagoras
List_of_things_named_after_Pythagoras
Topics referred to by the same term
Pythagorean tree may refer to: Tree of primitive Pythagorean triples Pythagoras tree (fractal) This disambiguation page lists articles associated with
Pythagorean_tree
Index of articles associated with the same name
fractal dimension (Rényi dimensions) Orders of construction in the Pythagoras tree Long-range aperiodic order, in pinwheel tiling, for instance Graph
Order_(mathematics)
English polymath (1642–1727)
England: Samuel Jallasson. p. 104. From p. 104: 'In the like Manner Pythagoras ow'd the Invention of Musik to the noise of the Hammer of a Blacksmith
Isaac_Newton
Mandelbrot tree Mandelbulb Menger sponge Monkeys tree Moore curve N-flake Pascal triangle Peano curve Penrose tiling Pinwheel tiling Pythagoras tree Rauzy
List_of_mathematical_shapes
Continuous function that is not absolutely continuous
number of left-right moves down an infinite binary tree; the infinitely distant "leaves" on the tree correspond to the points on the Cantor set, and so
Cantor_function
Plant in Greek and Roman mythology
The lotus tree (Ancient Greek: λωτός, lōtós) is a plant that is referred to in stories from Greek and Roman mythology. It is not known if it was real or
Lotus_tree
Fractal sets in complex dynamics of mathematics
Gosper curve Pythagoras tree Weierstrass function Strange attractor Multifractal system L-system Fractal canopy Space-filling curve H tree Escape-time
Julia_set
Fractal creation method
Gosper curve Pythagoras tree Weierstrass function Strange attractor Multifractal system L-system Fractal canopy Space-filling curve H tree Escape-time
Chaos_game
Machine. W. Trump, G. Huber, C. Knecht, R. Ziff, to be published Monkeys tree fractal curve Archived 13 June 2008(Date mismatch) at the Wayback Machine
List of fractals by Hausdorff dimension
List_of_fractals_by_Hausdorff_dimension
Website with tree of life visualisations
by individuals such as Richard Dawkins. The design is based on the Pythagoras tree; besides a default spiral design, there are other options, such as
OneZoom
Software generating fractal images
conceived before the naming of fractals in 1975, for example, the Pythagoras tree by Dutch mathematics teacher Albert E. Bosman in 1942. The development
Fractal-generating_software
Fractal analysis technique
Gosper curve Pythagoras tree Weierstrass function Strange attractor Multifractal system L-system Fractal canopy Space-filling curve H tree Escape-time
Box_counting
Fractal related to the mandelbrot set
original on 2019-10-23. Retrieved 2020-04-07. "Polynomials, dynamics, and trees by Becca Winarski" (PDF). Archived (PDF) from the original on 2022-11-01
Douady_rabbit
2010 Italian film
"turns", following Pythagoras. The turning of the phases occurs in Calabria where Pythagoras had his sect in Crotone. Pythagoras claimed he had lived
Le_quattro_volte
Mathematical tree of integer right triangles
273–275. The Trinary Tree(s) underlying Primitive Pythagorean Triples at cut-the-knot Frank R. Bernhart, and H. Lee Price, "Pythagoras' garden, revisited"
Tree of primitive Pythagorean triples
Tree_of_primitive_Pythagorean_triples
Infinitely detailed mathematical structure
ISBN 978-0-8135-2613-3. Pickover, Clifford A. (2009). The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics. Sterling
Fractal
Western esoteric tradition
founded in the 6th century BCE by Pythagoras of Samos, practiced isopsephy, the Greek predecessor of Jewish gematria. Pythagoras was a contemporary of the philosophers
Hermetic_Qabalah
Pythagoras is a multi-sided agent-based model (ABM) created to support the growth and refinement of the U.S. Marine Corps Warfighting Laboratory's's Project
Pythagoras_ABM
Numbers obtained by adding the two previous ones
Logic, 5 (3): 345–55 Pagni, David (September 2001), "Fibonacci Meets Pythagoras", Mathematics in School, 30 (4): 39–40, JSTOR 30215477 Stephenson, Kenneth
Fibonacci_sequence
Open subset of the real–number line
Gosper curve Pythagoras tree Weierstrass function Strange attractor Multifractal system L-system Fractal canopy Space-filling curve H tree Escape-time
Fractal_string
Biblical figure
McKinnon, James W. (January 1978). "Jubal vel Pythagoras, quis sit inventor musicae?" [Jubal or Pythagoras, who is the inventor of music?]. The Musical
Jubal_(Bible)
Mystical properties of numbers
founded in the 6th century by Pythagoras of Samos, practiced isopsephy, the Greek predecessor of Hebrew gematria. Pythagoras was a contemporary of the philosophers
Numerology
Iranian prophet and spiritual founder of Zoroastrianism
much scholarly controversy, to find his influence in Heraclitus, Plato, Pythagoras, and, perhaps less controversially, in the Abrahamic religions, including
Zoroaster
Enchantress-goddess in Greek mythology
goblet near her left. A monkey is crouching above her in the branches of a tree and a panther fraternizes with the kitten on her knee. While the painting
Circe
Neoplatonist philosopher and mystic (c. 245 – c. 325)
also the biographer of the Greek mystic, philosopher, and mathematician Pythagoras. In addition to his philosophical contributions, his Protrepticus is important
Iamblichus
1959 Donald Duck cartoon
himself in ancient Greece, where Pythagoras and his contemporaries are discovering these same relationships. Pythagoras (on the harp), a flute player, and
Donald_in_Mathmagic_Land
be taken. Geoffrey Taylor (December 7, 1987). "Terms Of Reference: Why Pythagoras never had a theorem on brochomancy". The Guardian. "Botanomancy". The
Botanomancy
difficult to reconcile with digits past 3 or 4. The Greek philosopher Pythagoras was not the first to discover what is now called the Pythagorean theorem
List of common misconceptions about science, technology, and mathematics
List_of_common_misconceptions_about_science,_technology,_and_mathematics
6th-century BC wrestler from the Magna Graecian city of Croton
him. Diodorus Siculus wrote in his history that Milo was a follower of Pythagoras who commanded the Crotonian army which defeated the Sybarites in 511 BC
Milo_of_Croton
Species of moth
Crambus pythagoras is a moth in the family Crambidae. It was described by Stanisław Błeszyński in 1961. It is found in Angola. "GlobIZ search". Global
Crambus_pythagoras
Visible regularity of form found in the natural world
symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles
Patterns_in_nature
Supposition or system of ideas intended to explain something
existence. Pythagoras emphasized subduing emotions and bodily desires to help the intellect function at the higher plane of theory. Thus, it was Pythagoras who
Theory
6th-century BCE Greek mythographer and proto-philosopher
the generation after them. Others claim he may have been a teacher of Pythagoras, a student of Pittacus, or a well-traveled autodidact who had studied
Pherecydes_of_Syros
Ancient Greek goddess
she most likely received her name. Her major symbols include owls, olive trees, snakes, and the gorgoneion. In art, she is generally depicted wearing a
Athena
Wooden horse in Greek mythology
sacrifices, and from this they named Apollo Carneus, from craneia, the cornel tree. In the Bibliotheca (1st or 2nd century AD), it is written that the two serpents
Trojan_Horse
Concept of rebirth in different physical form
afterlife or spirit world). Some ancient Greek historical figures, such as Pythagoras, Socrates, and Plato, expressed belief in the soul's rebirth or migration
Reincarnation
Symbol of ten points laid in four rows
History of Greek Philosophy (13 ed.). p. 36. Dimitra Karamanides (2005), Pythagoras: pioneering mathematician and musical theorist of Ancient Greece, The
Tetractys
Length of a line segment
distance. These names come from the ancient Greek mathematicians Euclid and Pythagoras. In the Greek deductive geometry exemplified by Euclid's Elements, distances
Euclidean_distance
Ancient Greek philosopher (c. 610 – c. 546 BC)
second master of that school, where he counted Anaximenes and, arguably, Pythagoras amongst his pupils. Little of his life and work is known today. According
Anaximander
Locations of religious significance
Construction. Dover, 1973. ISBN 0-486-22923-8. Bamford, Christopher. Homage to Pythagoras: Rediscovering Sacred Science, Lindisfarne Press, 1994, ISBN 0-940262-63-0
Sacred_space
Immaterial being or supernatural agent
Obsolescence of Oracles", 10: Pythian dialogues, Garnier-Flammarion, 2006, 161. Pythagoras sees souls or spirits everywhere, as detached particles of the ether:
Spirit_(supernatural_entity)
Artefact in Greek mythology, part of the Argonauts' tale
become soldiers when planted in the ground. The dragon was at the foot of the tree on which the fleece was placed. In some versions of the story, Jason attempts
Golden_Fleece
Magic used to invoke divine presence
comprehending the scheme of things as presented by Aristotle, Plato, and Pythagoras. The theurgist works 'like with like': at the material level, with physical
Theurgy
Branch of mathematics
applied to geometry, by deriving four corollaries to Thales's theorem. Pythagoras established the Pythagorean School, which is credited with the first proof
Geometry
Region of Italy
was the heart of Magna Graecia, home of key figures in history such as Pythagoras, Herodotus and Milo. In Roman times, it was part of the Regio III Lucania
Calabria
Archaic conception of Earth's shape
The idea of a spherical Earth appeared in ancient Greek philosophy with Pythagoras (6th century BC). However, the early Greek cosmological view of a flat
Flat_Earth
Personifications of fate in Greek mythology
Platonism Middle Platonism Neoplatonism Philosophers Pherecydes of Syros Pythagoras Xenophanes Parmenides Empedocles Socrates Plato Aratus Plutarch Plotinus
Moirai
Pseudepigrapha, Old Testament Apocrypha, New Testament Apocrypha, Plato, Pythagoras, Dhammapada, Egyptian Book of the Dead, Tacitus, Talmud, New and Old Testaments
Accordance
Chinese five elements
shi'er lü system of tuning is closest to the ancient Greek tuning of Pythagoras. With wuxing as an influential philosophical concept, several Chinese
Wuxing_(Chinese_philosophy)
2018 video game
father Pythagoras, who is revealed to be a descendant of the Isu like Myrinne and Leonidas, and inherits the Staff of Hermes from Pythagoras to safeguard
Assassin's_Creed_Odyssey
formulas for generating Pythagorean triples have been developed. Euclid's, Pythagoras' and Plato's formulas for calculating triples have been described here:
Formulas for generating Pythagorean triples
Formulas_for_generating_Pythagorean_triples
Ancient Greek daimon, the personification of zeal
Platonism Middle Platonism Neoplatonism Philosophers Pherecydes of Syros Pythagoras Xenophanes Parmenides Empedocles Socrates Plato Aratus Plutarch Plotinus
Zelus
Greek mythological artefact
Cyranides Delphic maxims Derveni papyrus Dionysiaca Golden Verses of Pythagoras Greek Magical Papyri Homerica Homeric Hymns Interpretation of Dreams Oneirocritica
Pandora's_box
Mythical food of the Greek gods
Cyranides Delphic maxims Derveni papyrus Dionysiaca Golden Verses of Pythagoras Greek Magical Papyri Homerica Homeric Hymns Interpretation of Dreams Oneirocritica
Ambrosia
Ancient Italic people
themselves to be a colony of the Lacedaemonians". Plutarch also wrote that the Pythagoras of Sparta, who was Olympic victor in the foot-race, helped Numa arrange
Sabines
Priestly and learned class of the ancient Celts
Diodorus made the comparison explicit, likening the belief to that of Pythagoras: souls were immortal and, after a fixed term of years, lived again in
Druid
Ancient Greek god
the original forms. This probably influenced the theory of numbers of Pythagoras, who believed that behind the appearance of things there was the permanent
Apollo
Ancient Greek god of the sea, earthquakes, and horses
offered an olive tree. The Athenians or their king, Cecrops, accepted the olive tree and along with it Athena as their patron, for the olive tree brought wood
Poseidon
Ancient Greek deity and herald of the gods
(winged sandals), and winged helmet or simple petasos, as well as the palm tree, goat, the number four, several kinds of fish, and incense. However, his
Hermes
Icon representing a particular religion
pp. 65–66. ISBN 978-1-57647-117-3. Riedweg, Christoph (2005) [2002]. Pythagoras: His Life, Teachings, and Influence. Ithaca, New York: Cornell University
Religious_symbol
3rd-century Phoenician Neoplatonist philosopher
exercises are an essential part of spiritual development. Porphyry was, like Pythagoras, an advocate of vegetarianism on spiritual and ethical grounds. These
Porphyry_of_Tyre
Prophetic god of bodies of water in Greek mythology
took the forms of a lion, a serpent, a leopard, a pig, even of water or a tree. Proteus then answered truthfully, further informing Menelaus that his brother
Proteus
Topics referred to by the same term
Height Human height Height discrimination Tree height measurement Reduced height of a field, the Pythagoras number This disambiguation page lists articles
Height_(disambiguation)
Queen of Crete in Greek mythology
Platonism Middle Platonism Neoplatonism Philosophers Pherecydes of Syros Pythagoras Xenophanes Parmenides Empedocles Socrates Plato Aratus Plutarch Plotinus
Pasiphaë
Personification of the Earth in Greek mythology
spilled blood, Gaia produced the Erinyes, the Giants, and the Meliae (ash-tree nymphs). From the testicles of Uranus in the sea came forth Aphrodite. By
Gaia
Relates the 4 sides and 2 diagonals of a quadrilateral with vertices on a common circle
of the inscribed decagon is obtained in terms of the circle diameter. Pythagoras's theorem applied to right triangle AFD then yields "b" in terms of the
Ptolemy's_theorem
Main antagonist organization of One Piece
creations that represent aspects of his personality: Shaka, Lilith, Edison, Pythagoras, Atlas, and York. Punk-01 is Shaka (シャカ), a man in a futuristic metal
World_Government_(One_Piece)
Assassin's Creed characters
Kosmos and eventually inherits the Staff of Hermes Trismegistus from Pythagoras. Alexios is shaped to become a weapon to be used by the Cult, henceforth
Alexios_and_Kassandra
Ancient Jewish biblical manuscripts
Pseudepigrapha, Old Testament Apocrypha, New Testament Apocrypha, Plato, Pythagoras, Dhammapada, Egyptian Book of the Dead, Tacitus, Talmud, New and Old Testaments
Dead_Sea_Scrolls
Personification of wisdom in philosophy and religion
Greek for the pursuit of knowledge/wisdom. A later tradition credits Pythagoras as the first to call himself a "philosopher". Philo, a Hellenized Jew
Sophia_(wisdom)
Ancient Indian vegetarian ascetics
Egypt. Some[who?] sources claim that famous figures such as Lycurgus, Pythagoras, and Democritus may have met them.[citation needed] They are mentioned
Gymnosophists
Divine hero in Greek mythology
rock standing in the sea, named for him). Heracles then uproots several trees and builds a funeral pyre on Mount Oeta, which Poeas, father of Philoctetes
Heracles
Ancient Greek goddess of the night
Lettres, 1997. ISBN 2251324259. Burkert, Walter, "Parmenides' Proem and Pythagoras' Descent", in Philosophy and Salvation in Greek Religion, pp. 85–116,
Nyx
Herb in Greek and Roman legend
Cyranides Delphic maxims Derveni papyrus Dionysiaca Golden Verses of Pythagoras Greek Magical Papyri Homerica Homeric Hymns Interpretation of Dreams Oneirocritica
Moly_(herb)
Country in Southern and Western Europe
and modern philosophy. Formal philosophy was introduced to Italy by Pythagoras, founder of the Italian school of philosophy in Crotone. Italian philosophers
Italy
Greek goddess of the hearth
same book, with the difference that Lotis had to transform into a lotus tree to escape Priapus, making some scholars suggest the account where Vesta supplants
Hestia
Goddess from Greek mythology, wife and sister of Zeus
the goddess was purified, bounted in willows and then probably hanged on a tree. Robert Graves interprets this as a representation of the new moon (Hebe)
Hera
4th-century BC Greek philosopher, mathematician, astronomer and statesman
Macris, C.; Dorandi, T.; Brisson, L. (eds.). Pythagoras Redivivus: Studies on the texts attributed to Pythagoras and the Pythagoreans. Academia. Menn, S.
Archytas
Austrian esotericist (1861–1925)
Retrieved 15 August 2024. Pattberg 2012, p. 125 Ronchi, Claudio (2013). The Tree of Knowledge: The Bright and the Dark Sides of Science. SpringerLink: Bücher
Rudolf_Steiner
Ancient Greek goddess
myrtle tree. When the inhabitants of the cities near the gulf were expelled, Artemis took the shape of a hare and guided them to a myrtle tree where they
Artemis
Rosicrucian esoteric Christian order
College (Beverly) York College Middlesbrough College Newcastle College Pythagoras College There are multiple orders and societies that are associated with
Societas Rosicruciana in Anglia
Societas_Rosicruciana_in_Anglia
Third planet from the Sun
idea of a spherical Earth, which was attributed to both the philosophers Pythagoras and Parmenides. Earth was generally believed to be the center of the universe
Earth
Symbol that represents an idea or concept
the ability to write, among other things, from the Egyptians through Pythagoras (c. 570 – c. 495 BC), who had been directly taught their silent form of
Ideogram
Mauryan emperor from 269 to 232 BCE
2012. Phelps, Norm (2007). The Longest Struggle: Animal Advocacy from Pythagoras to Peta. Lantern Books. ISBN 978-1590561065. Elverskog, Johan (2020).
Ashoka
Chthonic female deities of vengeance in Greek mythology
Cyranides Delphic maxims Derveni papyrus Dionysiaca Golden Verses of Pythagoras Greek Magical Papyri Homerica Homeric Hymns Interpretation of Dreams Oneirocritica
Erinyes
of Warwick Margaret Wertheim, science writer, journalist and author of Pythagoras' Trousers John D. Barrow, Professor of Applied Mathematics and Theoretical
List of In Our Time programmes
List_of_In_Our_Time_programmes
Staff carried by Hermes in Greek mythology
Cyranides Delphic maxims Derveni papyrus Dionysiaca Golden Verses of Pythagoras Greek Magical Papyri Homerica Homeric Hymns Interpretation of Dreams Oneirocritica
Caduceus
Ancient Greek goddess and mother of the gods
ablaze. Rhea (or Cybele), remembering that those hulls had been crafted from trees felled on her holy mountains, transformed the vessels into sea nymphs. After
Rhea_(mythology)
Symbol of medicine
Cyranides Delphic maxims Derveni papyrus Dionysiaca Golden Verses of Pythagoras Greek Magical Papyri Homerica Homeric Hymns Interpretation of Dreams Oneirocritica
Rod_of_Asclepius
Ancient Greek god of the wilds, shepherds, and flocks
a pine tree to escape him. In another version, Pan and the north wind god Boreas clashed over the lovely Pitys. Boreas uprooted all the trees to impress
Pan_(god)
An Ancient Greek Olympic victor in boxing who became a mythological hero.
distinguished victors of his time. His statue at Olympia was made by Pythagoras of Rhegium and was regarded as very worth seeing. Pliny the Elder states
Euthymus_of_Locri
Place and deity in Greek mythology
"temptation without satisfaction") was to stand in a pool of water beneath a fruit tree with low branches. Whenever he reached for the fruit, the branches raised
Tartarus
Roman poet (43 BC – AD 17/18)
Romulus and Hersilia. The final book opens with a philosophical lecture by Pythagoras and the deification of Caesar. The end of the poem praises Augustus and
Ovid
inside a triangle, akin to the fourth triangle number. It was developed by Pythagoras, and collectively signifies cosmic unity in the form of The Decad, as
List_of_occult_symbols
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