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Study of how patterns form by self-organization in nature
of pattern formation deals with the visible, (statistically) orderly outcomes of self-organization and the common principles behind similar patterns in
Pattern_formation
Regularity in sensory qualia or abstract ideas
A pattern is a regularity in the world, in human-made design, or in abstract ideas. As such, the elements of a pattern repeat in a predictable and logical
Pattern
Concept from evolutionary biology
systems have attracted much interest as a prototype model for pattern formation. Patterns such as fronts, hexagons, spirals, stripes and dissipative solitons
Turing_pattern
Visible regularity of form found in the natural world
and sexual selection. Studies of pattern formation make use of computer models to simulate a wide range of patterns. Early Greek philosophers attempted
Patterns_in_nature
Group of insects in the order Lepidoptera
colourful patterns on many butterfly wings tell potential predators that they are toxic. Hence, the genetic basis of wing pattern formation can illuminate
Butterfly
English computer scientist (1912–1954)
Simplicity. Random House. p. 134. Vogel, G. (2012). "Turing Pattern Fingered for Digit Formation". Science. 338 (6113): 1406. Bibcode:2012Sci...338.1406V
Alan_Turing
Interference pattern
opaque ruled pattern with transparent gaps is overlaid on another similar pattern. For the moiré interference pattern to appear, the two patterns must not
Moiré_pattern
Numerical model of nonlinear optical systems
and René Lefever as a paradigm for spontaneous pattern formation in nonlinear optical systems. The patterns originate from the interaction of a coherent
Lugiato–Lefever_equation
Genus of bacteria
employing sophisticated chemical communication called quorum sensing. Pattern formation and self-organization in microbial systems is an intriguing phenomenon
Paenibacillus
Color-changing redox chemical reaction
Bath Pattern Formation from Blue Bottle Experiment in Cold Water Bath Time-lapse Pattern Formation from Blue Bottle Experiment in Cold Water Pattern Formation
Blue_bottle_experiment
Scanning electron microscopy technique
the pattern and its depth information. Monte Carlo simulations provide an alternative approach to quantifying the depth resolution for EBSPs formation, which
Electron backscatter diffraction
Electron_backscatter_diffraction
Patterns in both time and space
general rules of pattern formation hold. In contrast to "static", pure spatial patterns, the full complexity of spatiotemporal patterns can only be recognized
Spatiotemporal_pattern
Mathematical model of chemotaxis
applied mathematics, illustrating how nonlinear PDEs can capture pattern formation, blow-up phenomena, and self-organization. A major research focus
Keller–Segel_system
Development of limbs in vertebrates
(1971). "Chapter 6 Positional Information and Pattern Formation". Positional information and pattern formation. Current Topics in Developmental Biology. Vol
Limb_development
British mathematical biologist
biologist at the University of Oxford whose research interests include pattern formation, morphogenesis, and the mathematical modelling of cell biology and
Ruth_Baker
Geometric pattern characteristic of Muslim art
Islamic geometric patterns are one of the major forms of Islamic ornament, which tends to avoid using figurative images, as it is forbidden to create a
Islamic_geometric_patterns
Branch of biology
theory of morphogenesis Biological pattern formation Spatial distribution modeling using plot samples Turing patterns Many biological systems exhibit recurring
Mathematical and theoretical biology
Mathematical_and_theoretical_biology
Fluid flow that occurs due to heterogeneous fluid properties and body forces
Cartwright, Julyan H. E.; Piro, Oreste; Villacampa, Ana I. (2002). "Pattern Formation in Solutal Convection: Vermiculated Rolls and Isolated Cells". Physica
Convection
Type of mathematical model
of behaviours, including the formation of travelling waves and wave-like phenomena as well as other self-organized patterns like stripes, hexagons or more
Reaction–diffusion_system
Branch of physics
fields transmitted through nonlinear Kerr media can also display pattern formation owing to the nonlinear medium amplifying spatial and temporal noise
Nonlinear_optics
Exoskeleton of an animal in the phylum Mollusca
as those induced by exposure to high platinum concentrations. The pattern formation processes in mollusc shells have been modeled successfully using one-dimensional
Mollusc_shell
1952 scholarly article by Alan Turing
the formation of lymphatic vessels in the zebrafish embryo. Reaction–diffusion systems have attracted much interest as a prototype model for pattern formation
The Chemical Basis of Morphogenesis
The_Chemical_Basis_of_Morphogenesis
Biometric identifier
additive genes influencing pattern formation. Another mode of fingerprint pattern inheritance suggests that the arch pattern on the thumb and on other
Fingerprint
Recurringly observed geometric pattern
hallucination patterns." Biol. Cybernet. 34 (1979), no. 3, 137–150. Text from "Hallucinogens and Creativity" page by Susan Opar "Spontaneous pattern formation in
Form_constant
Pattern formation of bacteria colony shapes
Populations of bacteria may form macroscopic patterns often visible to the naked eye. Pattern formation may arise from mechanisms such as growth, motility
Bacterial_patterns
Biological neural circuit that produces rhythmic outputs in the absence of rhythmic input
Central pattern generators (CPGs) are self-organizing biological neural circuits that produce rhythmic outputs in the absence of rhythmic input. They
Central_pattern_generator
Unpredictable phenomenon in complex systems
(for example, the formation of a traffic jam, the structure of a flock of starlings in flight or a school of fish, or the formation of galaxies). Crucial
Emergence
Conglomeration of discrete solid, macroscopic particles
a circular pattern. Some larger materials (Brazil nuts) get stuck while going down the circle and therefore stay on the top. The formation of structured
Granular_material
Infinitely detailed mathematical structure
other complex pattern formation. Richard Taylor and co-workers have shown that the dendritic branches of neurons form fractal patterns. Ian Wong and co-workers
Fractal
Critical protein in embryonic development
digits and many other parts of the body. Sonic hedgehog is a morphogen that patterns the developing embryo using a concentration gradient characterized by the
Sonic_hedgehog_protein
Type of steel used in Middle Eastern swordmaking
characterized by distinctive patterns of banding and mottling reminiscent of flowing water, sometimes in a "ladder" or "rose" pattern. Damascus steel was reputed
Damascus_steel
Skin or shed skin of snakes
hide of a dead snake. Snakeskin and scales can have varying patterns and color formations, providing protection via camouflage from predators. The colors
Snakeskin
Species of bacterium
Paenibacillus vortex is a species of pattern-forming bacteria, first discovered in the early 1990s by Eshel Ben-Jacob's group at Tel Aviv University.
Paenibacillus_vortex
Protein-coding gene in the species Homo sapiens
BMP4 will cause the patterning of the neural tube and somites from the neural plate in the developing embryo. It also causes formation of the head and other
Noggin_(protein)
Financial chart pattern
shoulders formation occurs when a market trend is in the process of reversal either from a bullish or bearish trend; a characteristic pattern takes shape
Head and shoulders (chart pattern)
Head_and_shoulders_(chart_pattern)
State of being the product of intentional human manufacture
appearance. For example, by identifying and imitating natural means of pattern formation, some types of automata have been used to generate organic-looking
Artificiality
Non-equilibrium thermodynamic reaction
formation first of colored spots. These spots grow into a series of expanding concentric rings or perhaps expanding spirals similar to the patterns generated
Belousov–Zhabotinsky_reaction
Diffraction pattern in optics
In optics, the Airy disk (or Airy disc) and Airy pattern are descriptions of the best-focused spot of light that a perfect lens with a circular aperture
Airy_disk
Trading
of two different formations of the same name. Some patterns can often only be described subjectively, and a textbook pattern formation may occur in reality
Price_action_trading
Process after the fertilization of an ovule to produce a fully developed plant embryo
basic cellular pattern necessary for the development of the shoot-root axis and the primary tissue layers. They also initiates the formation of meristematic
Plant_embryonic_development
1989 textbook by James D. Murray
and Abuse of Fractals Part II of Mathematical Biology focuses on pattern formation and applications of reaction-diffusion equations. Topics include:
Mathematical_Biology
Market trend
analysis, a wedge pattern is a chart formation characterized by a contracting price range bounded by two converging trendlines. The pattern illustrates a
Wedge_pattern
Species of bacterium
individual cells while employing sophisticated chemical communication. Pattern formation and self-organization in microbial systems is an intriguing phenomenon
Paenibacillus_dendritiformis
Young stem or branch
abscisic acid, and brassinosteroids. Auxin plays a central role in pattern formation at both shoot and root apices. In the root apical meristem, auxin
Shoot_(botany)
Species of slime mould
used to study other aspects of development, including cell sorting, pattern formation, phagocytosis, motility, and signal transduction. These processes
Dictyostelium_discoideum
Varieties of flowers with extra petals
Meyerowitz's lab as part of his study of molecular mechanisms of pattern formation in flowers. Double-flower forms often arise when some or all of the
Double-flowered
Turing patterns. These patterns occur at many scales of life, from cellular development (where they were first proposed) to pattern formation on animal
Patterned_vegetation
Mathematical model
p. 580, Pitman (Boston, 1983). Langer, J. S. (1986). "Models of Pattern Formation in First-Order Phase Transitions". Directions in Condensed Matter
Phase-field_model
Physicist and sociologist (born 1984)
Kree, Reiner; Yasseri, Taha (2009). "Simulating discrete models of pattern formation by ion beam sputtering". Journal of Physics: Condensed Matter. 21
Taha_Yasseri
Device that facilitates dispersion of liquid into a spray
affects spray pattern formation and drop size. Liquids with a high viscosity require a higher minimum pressure to begin spray pattern formation and yield
Spray_nozzle
Topics referred to by the same term
in architecture Software design pattern (see above) Pattern formation, the processes and mechanisms by which patterns such as the stripes of animals form;
Pattern_(disambiguation)
Hungarian scientist, physicist (born 1948)
simulation of cluster models, aggregation phenomena, fractal growth, pattern formation (computer and laboratory experiments), collective phenomena in biological
Tamás_Vicsek
Process of forming order by local interactions
other biomacromolecules, self-assembly of lipid bilayer membranes, pattern formation and morphogenesis in developmental biology, the coordination of human
Self-organization
Movement of prices shown on a candlestick chart
candlestick pattern is a movement in prices shown graphically on a candlestick chart that some believe can help to identify repeating patterns of a particular
Candlestick_pattern
Brainwaves, repetitive patterns of neural activity in the central nervous system
1086/286819. S2CID 121438105. Amari, Shun-ichi (1977-06-01). "Dynamics of pattern formation in lateral-inhibition type neural fields". Biological Cybernetics
Neural_oscillation
American mathematician
Chicago who works on dynamical systems, in bifurcation theory and pattern formation. Silber completed her Ph.D. in physics from the University of California
Mary_Silber
Proposed meteorological instrument
Tomoyasu; Nagashima, Kazushige (1 May 2008) [1 February 2008]. "Pattern formation of crystals in storm glass". Journal of Crystal Growth. 310 (10):
Storm_glass
comprehensive body of experimental data on chemical wave propagation and pattern formation in nonuniform media. The reaction had been discovered by Boris Pavlovich
Anatol_Zhabotinsky
Abstract machines which have a continuum of locations with finite states
integro-differential equations. Such models demonstrate spatiotemporal pattern formation, localized states and travelling waves. They have been used as models
Continuous_spatial_automaton
Israeli physicist (1952–2015)
the 1980s he became a leader in the theory of self-organization and pattern formation in open systems, later extending this work to adaptive complex systems
Eshel_Ben-Jacob
Fine hair-like growth on plants
Trichomes also serve as models for cell differentiation as well as pattern formation in plants. Bean leaves have been used historically to trap bedbugs
Trichome
American physicist
investigated various extended spatial patterns, shock waves, and fluctuations. observed resonant pattern formation with frequency locking in chemical systems
Harry_Swinney
applied mathematician and academic, working in nonlinear dynamics, pattern formation and complex systems. He is the division leader of the computer, computational
Aric_Hagberg
Chinese fluffy breed of chicken
"Skeletal Analysis and Characterization of Gene Expression Related to Pattern Formation in Developing Limbs of Japanese Silkie Fowl". Journal of Poultry Science
Silkie
Northern Irish mathematician (born 1959)
a DPhil in 1985, the latter for a thesis modelling morphogenetic pattern formation supervised by James D. Murray After a postdoctoral research position
Philip_Maini
Protein family
conserved single-pass transmembrane glycoproteins expressed during pattern formation and morphogenesis. The name refers to "ten-a" (from "tenascin-like
Teneurin
Condition of abnormal growth in vascular plants
(1998). "Fasciation Mutation Enhances Meristematic Activity and Alters Pattern Formation in Soybean". International Journal of Plant Sciences. 159 (2): 249–260
Fasciation
Inner germ layer of embryonic development
linings of two tubes in the body, the digestive and respiratory tube. Pattern formation allows the initial endoderm cells to form the organs involved in each
Endoderm
Topics referred to by the same term
Wiktionary, the free dictionary. Emergence is the process of complex pattern formation from more basic constituent parts. Emergence (Palmer novel), a 1984
Emergence_(disambiguation)
American biophysicist
where he studied the physics of pattern formation. His work led to some famous discoveries about crystal pattern formation providing a working mathematics
Herbert_Levine_(physicist)
Crystal patterns found in some meteorites
non-meteoritic material to indicate a structure with a geometrical pattern resulting from the formation of a new phase along particular crystallographic planes of
Widmanstätten_pattern
Salazar-Ciudad, H. Garcia-Fernandez, and R. V. Sole. Gene networks capable of pattern formation: from induction to reaction-diffusion. Journal of Theoretical Biology
Morphogenetic_robotics
involve modelling of dynamics of these defects to study its role in pattern formation and turbulent dynamics in active fluids. Modified versions of Vicsek
Active_fluid
ISBN 978-0-7923-2816-2. OCLC 30157395. Bode, M.; Purwins, H.-G. (1995). "Pattern formation in reaction-diffusion systems - dissipative solitons in physical systems"
Dissipative_soliton
Type of cave formation
microscopic pattern of offset crystals is created. This pattern repeats and eventually becomes macroscopic. The waving pattern that gives this formation its name
Cave_drapery
Electric current produced in living cells
impinge upon all cells in vivo and regulate their interactions during pattern formation and maintenance. This is distinct from neural bioelectricity (classically
Developmental_bioelectricity
Scientific field of study
by the study of turbulence in aerodynamics and the observation of pattern formation in biological systems. In the 1932 Annual Review of Fluid Mechanics
Physics
Chemical process leading to the settling of an insoluble solid from a solution
related to Solid precipitation. Precipitation reactions of certain cations Digestion Instruments A Thesis on pattern formation in precipitation reactions
Precipitation_(chemistry)
American experimental physicist (born 1953)
Washington. His research has included chaotic nonlinear dynamics, pattern formation, rotating Rayleigh-Bénard convection, two-dimensional turbulence,
Robert_Ecke
Biological substance that guides development by non-uniform distribution
morphogen is a signaling molecule that contributes to morphogenesis and pattern formation, which are key processes in developmental biology. Morphogens help
Morphogen
Elaborate, confusing structure in Greek mythology
Crete. Spiralzoom.com an educational website about the science of pattern formation, spirals in nature, and spirals in the mythic imagination & labyrinths
Labyrinth
Equation in fluid dynamics
(1993). Pattern formation outside of equilibrium. Reviews of modern physics, 65(3), 851. Cross, M., & Greenside, H. (2009). Pattern formation and dynamics
Ginzburg–Landau_equation
Series of molecular signals
network. This model is instrumental in exploring pattern formation robustness and biological pattern refinement, considering the stochastic nature of
Notch_signaling_pathway
Formation of ripples in gravel and dirt roads
Washboarding or corrugations is the formation of periodic, transverse ripples in the surface of gravel and dirt roads. Washboarding occurs in dry, granular
Washboarding
Swiss-American molecular biologist (born 1950)
Schüpbach's research focuses on signaling pathways that are involved in pattern formation during embryonic development. Using the fruit fly (Drosophila melanogaster)
Gertrud_Schüpbach
Polar morphology of a cell, a specific orientation of the cell structure
attempted to explain pattern formation in a multicellular system, similar mechanisms can also be applied to intracellular pattern formation. Briefly, if a network
Cell_polarity
Photosynthetic part of a vascular plant
thought to be typical examples of pattern formation through ramification, but they may instead exemplify a pattern formed in a stress tensor field. A
Leaf
MClone, or Clonal Mosaic, is a pattern formation algorithm proposed in 1998 used specially for simulating the visible patches of color in the fur of giraffes
MClone
Protein-coding gene in humans
aniridia in humans. Pax6 serves as a regulator in the coordination and pattern formation required for differentiation and proliferation to successfully take
PAX6
Continuous generalization of cellular automata
descent. Conway's Game of Life Cellular automaton Self-replication Pattern formation Morphogenesis The Github repository for Lenia Chan's website for Lenia
Lenia
Class of precipitation reactions in gels
than 20 micrometers (microscopic patterns). The arrangement that best shows the sequence of events leading to the formation of macroscopic patters is the
Hantz_reactions
Embryogenesis of the fruit fly Drosophila, a popular model system
(ectoderm) and the formation of internal organs (mainly mesoderm). One of the best understood examples of pattern formation is the patterning along the future
Drosophila_embryogenesis
Process in which disordered components form an organized structure or pattern
disordered system of pre-existing components forms an organized structure or pattern as a consequence of specific, local interactions among the components themselves
Self-assembly
Discrete model of computation
2013. Nicolis (1974). "Dissipative Structures, Catastrophes, and Pattern Formation: A Bifurcation Analysis" (PDF). PNAS. 71 (7): 2748–2751. Bibcode:1974PNAS
Cellular_automaton
High level structures of a software system
architecture patterns operate at a higher level of abstraction than software design patterns, solving broader system-level challenges. While these patterns typically
Software_architecture
Type of flowers of two different colors
peonies, and begonias. Picotee patterns are also observed in wild plant species. The mechanism underlying picotee pattern formation often involves different
Picotee
One of the parts of a holometabolous insect larva
1016/j.cub.2010.03.010. PMID 20504747. Web site for the book Imaginal Discs: The Genetic and Cellular Logic of Pattern Formation by Lewis I. Held, Jr.
Imaginal_disc
Formation with units arranged in a chevron or "V" shape or two sides of a triangle
A V formation is a symmetric V- or chevron-shaped (two sides of a triangle) flight formation. In nature, it occurs among geese, swans, ducks, and other
V_formation
Attempt to explain evolution by forces other than natural selection
biological complexity can be reduced to natural selection, and argues that pattern formation is driven by morphogenetic fields. Darwinian biologists have criticised
Structuralism_(biology)
Genus of slime molds
Basic processes of development such as differential cell sorting, pattern formation, stimulus-induced gene expression, and cell-type regulation are common
Dictyostelium
PATTERN FORMATION
PATTERN FORMATION
Surname or Lastname
English
English : variant of Matter.English : probably a metonymic occupational name for a mattress maker or seller, from Middle English, Old French materas, or less likely for a maker of crossbow bolts, spears, and lances, from the Middle English homonym materas.Dutch : variant of Matter 2.
Surname or Lastname
English (eastern)
English (eastern) : variant of Raymond.
Surname or Lastname
English, northern Irish, and Scottish
English, northern Irish, and Scottish : from a pet form of the personal name Pate.The American general George Patton (1885–1945) was born in San Gabriel, CA, into a family with a long military tradition. His earliest American ancestor, Robert Patton, had emigrated from Scotland to VA c.1770.
Surname or Lastname
English (eastern counties)
English (eastern counties) : unexplained.
Girl/Female
German, Latin
Pattern
Boy/Male
American, Australian, British, English, Latin
From the Warrior's Town
Surname or Lastname
English (Norfolk)
English (Norfolk) : diminutive of Platt 1.English (Norfolk) : metonymic occupational name for a platemaker, from Old French platon ‘metal plate’.
Male
Swedish
Norwegian and Swedish form of Greek Petros, PETTER means "rock, stone."Â
Surname or Lastname
English
English : metonymic occupational name for a maker or seller of clogs, from Middle English paten ‘clog’ (Old French patin).English : variant spelling of Patton.
Surname or Lastname
English (eastern counties)
English (eastern counties) : unexplained. Possibly a variant of Masset (see Massett).
Male
Finnish
Finnish form of Greek Petros, PETTERI means "rock, stone."Â
Surname or Lastname
German
German : variant of Pastor 2.Jewish (eastern Ashkenazic) : occupational name from Polish pasterz ‘shepherd’.English : generally a variant of Pastor, but possibly in some cases an occupational name for a baker, from an agent derivative of Old French paste ‘paste or dough’.
Surname or Lastname
English (eastern England)
English (eastern England) : variant of Beaton.
Surname or Lastname
English
English : occupational name for a maker or seller of hats, Middle English hatter(e).
Surname or Lastname
English
English : occupational name for a worker in wood or a nickname for a thin person, from an agent derivative of Middle English latt ‘thin narrow strip of wood’, ‘lath’ (Old English lætt).Jewish (eastern Ashkenazic) : occupational name for a cobbler, tinker, or the like, from an agent derivative of Yiddish laten ‘to patch’, ‘to repair’.
Surname or Lastname
English or Irish
English or Irish : unexplained.
Surname or Lastname
English (eastern counties)
English (eastern counties) : apparently a variant of German.
Boy/Male
Australian, Irish
Son of Pattrick
Surname or Lastname
English
English : variant of Platt or Plater.Scottish : habitational name from the Forest of Plater in Angus.German (Tyrol, Bavaria) : variant of Plattner 1.German : variant of Platner.
Surname or Lastname
German
German : habitational name for someone who lived at a house distinguished by the sign of a panther, Middle High German panter (see Panther 1).North German : occupational name for a mortager or pawn broker, from a contracted form of Pfandherr.English (mainly Northamptonshire) and Scottish : occupational name for a servant in charge of the supply of bread and other provisions in a monastery or large household, Middle English pan(e)ter (Old French panetier).
PATTERN FORMATION
PATTERN FORMATION
Boy/Male
Latin French
Bean farmer.
Girl/Female
English American
and Kayla, meaning: keeper of the keys; pure.
Boy/Male
American, British, Chinese, English
Combination of Trevor and Ian; Fair Town; Abbreviation of Trevelyan
Boy/Male
Tamil
Sripad | à®·à¯à®°à¯€Â பதÂ
Feet pad of Lord Vishnu
Boy/Male
Bengali, Hindu, Indian, Malayalam, Marathi
Lord of Life
Boy/Male
Australian, French, Polish
A Pole
Boy/Male
Australian, British, English, Greek, Polish, Swedish
God Save the King; God or Lord Protect the King
Boy/Male
Tamil
Mokshal | மோகà¯à®·à®¾à®²Â
Boy/Male
African Egyptian
Nigerian for 'my father loves me'.
Girl/Female
Australian, British, English, Greek
Sea Nymph; Daughter of Nereus; In Greek Mythology the Nereids were Mermaids and Deities of the Seas; Nymph; Sea Sprite
PATTERN FORMATION
PATTERN FORMATION
PATTERN FORMATION
PATTERN FORMATION
PATTERN FORMATION
n.
See Aristotle's lantern.
p. pr. & vb. n.
of Patter
n.
Anything cut or formed to serve as a guide to cutting or forming objects; as, a dressmaker's pattern.
v. i.
To play on gittern.
v. i.
To mutter; to mumble; as, to patter with the lips.
n.
Figure or style of decoration; design; as, wall paper of a beautiful pattern.
imp. & p. p.
of Patter
n.
See Cittern.
n.
A quick succession of slight sounds; as, the patter of rain; the patter of little feet.
v. t.
To make or design (anything) by, from, or after, something that serves as a pattern; to copy; to model; to imitate.
n.
A patten.
n.
The cant of a class; patois; as, thieves's patter; gypsies' patter.
n.
A lantern pinion or trundle wheel. See Lantern pinion (below).
imp. & p. p.
of Pattern
v. i.
To strike with a quick succession of slight, sharp sounds; as, pattering rain or hail; pattering feet.
v. t.
To furnish with a lantern; as, to lantern a lighthouse.
v. t.
To spatter; to sprinkle.
n.
Anything proposed for imitation; an archetype; an exemplar; that which is to be, or is worthy to be, copied or imitated; as, a pattern of a machine.
a.
Of or pertaining to potters.
n.
Stuff sufficient for a garment; as, a dress pattern.