By continuing to use the site you are agreeing to our use of cookies. Early Greek philosophers attempted to explain order in nature, anticipating modern concepts. A pattern is a regularity in the world, in human-made design, or in abstract ideas. In permafrost soils with an active upper layer subject to annual freeze and thaw, patterned ground can form, creating circles, nets, ice wedge polygons, steps, and stripes. Names of Common Fabric Patterns - The Spruce Who are the most famous pattern artists? Symmetry has a variety of causes. The zebra is known for its mystic stripe pattern. Stripe Patterns - All About the Types of Stripes | TREASURIE Thus, a flower may be roughly circular, but it is never a perfect mathematical circle. The discourse's central chapter features examples and observations of the quincunx in botany. Below are a few images showcasing some of nature's patterns. An error occurred trying to load this video. The definition of a pattern in nature is a consistent form, design, or expression that is not random. Older kids might be interested in learning more about fractals (see links below). image: The striped pattern found in a monoatomic layer of bismuth is the same as that found in the pigmentation of certain tropical fish. Planetary motion is a predictable pattern governed by inertia, mass, and gravity. The cells of a young organism have genes that can be switched on by a chemical signal, a morphogen, resulting in the growth of a certain type of structure, say a darkly pigmented patch of skin. These are some of the explanations behind such pattern in nature. Some animal patterns in nature are called the Voronoi pattern, such as the pattern on a giraffe. Learn more about how we see through our activity, Seeing Spots, and discover the cause and effect of an optical illusion. Animals that live in groups differ from those that are solitary. These patterns recur in different contexts and can sometimes be modelled mathematically. Animal behavior: patterns observed in animal behavior, such as the production of hexagons in honeycombs, are often the result of genetics and the environment. 160 Best Patterns in nature ideas - Pinterest The branching structure of trees, for example, include its trunk, branches, twigs, and leaves. For example, a male peacock shows off its colorful tail feathers to attract a mate. the number is close to the Golden Ratio, especially when the Fibonacci numbers are significant. There are 17 wallpaper groups of tilings. A minilab helps us explore these models further with an online tool. The fissured pattern that develops on vertebrate brains are caused by a physical process of constrained expansion dependent on two geometric parameters: relative tangential cortical expansion and relative thickness of the cortex. A galaxy is a much larger example of this design. Students draw things in nature that are symmetrical. Pattern formation is predicted by a variety of mathematical models, many of which give rise to the same catalogue of possible patterns - those that occur in nature as stripes in ocean waves, on tigers and on angelfish, for instance. There are no straight lines in nature. But it has two grandparents because the queens and workers who produce these eggs have two parents (1, 1, 2). For example, we see tessellations in crystal cube patterns, a honeycomb, a turtle's shell, a fish's scales, pineapples, plant cells, cracked mud, and even spider webs. First, there must be random fluctuations in expression that turn the activator on at low levels across a tissue. email address visible to photographer only. His "reaction-diffusion" model uses a two-protein system to generate a pattern of regularly-spaced spots, that can be converted to stripes with a third external force. He predicted oscillating chemical reactions, in particular the BelousovZhabotinsky reaction. 1. Snowflakes exhibit six-fold radial symmetry, with elaborate, identical patterns on each arm. Math Patterns Overview, Rules, & Types | What are Math Patterns? In the 19th century, Belgian physicist Joseph Plateau examined soap films, leading him to formulate the concept of a minimal surface. Radial patterns of colours and stripes, some visible only in ultraviolet light serve as nectar guides that can be seen at a distance. In the fractal pattern of broccoli shown earlier, each successive spiral of buds contains Fibonacci numbers. Let's take a look at some of the different types of patterns to help you appreciate them as well. In this social emotional learning activity, your child will go on a nature scavenger hunt to look for patterns in nature and appreciate how amazing nature is. This post is intended to show examples of . The banker is similar to Bengal stripe patterns, but the lines are thinner, specifically one-eight inches. Fractal spirals: Romanesco broccoli showing self-similar form, Trees: Lichtenberg figure: high voltage dielectric breakdown in an acrylic polymer block, Trees: dendritic copper crystals (in microscope). 3. These patterns recur in different contexts and can sometimes be modelled mathematically. In chapter 1 it talks all about patterns, in which it recognize the stars that move in circles across the sky, the patterns of animals skin for example the tigers and zebras patterns covered with stripes. Patterns In Nature: The Visual Consistencies That Make Nature Amazing. L-systems have an alphabet of symbols that can be combined using production rules to build larger strings of symbols, and a mechanism for translating the generated strings into geometric structures. He found that many natural things incorporated patterns like spots and stripesin their developmentand he hypothesized that there might be a mathematical model that could connect and explain these patterns. Some patterns in nature are a combination of designs such as the fractals and spirals found in some plants. Plato (c. 427 c. 347 BC) looking only at his work on natural patterns argued for the existence of universals. An error occurred trying to load this video. Bismuth hopper crystal illustrating the stairstep crystal habit. The LibreTexts libraries arePowered by NICE CXone Expertand are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. This type is when the colour of the animal matches the colour of the background, as in the ground colour or vegetation that it finds itself. Oct 23, 2017 - Explore Dan Ashbach / Dan330's board "Patterns in nature", followed by 209,315 people on Pinterest. Shape plays an important role in identifying objects. Patterns Found in Nature - CuriOdyssey Patterns in nature: How the zebra got its stripes - CSIROscope It therefore has three great-grandparents (1, 1, 2, 3), and so on. Frieze Pattern Types & Overview | What is a Frieze Pattern? Examples of fractals observed in nature include snowflakes, the branching of trees and blood vessels, or a peacock's plume. Study examples of repeating, mathematical, and animal patterns in nature, and find out why patterns such as spirals in nature occur. Bilateral Symmetry Overview & Examples | What is Bilateral Symmetry? Barchans or crescent dunes are produced by wind acting on desert sand; the two horns of the crescent and the slip face point downwind. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, arrays, cracks and stripes. They're everywhere! In the case of spots and stripes, the activator causes cells to build up a dark pigment (the stripe or spot) and the inhibitor prevents pigment production. To get spots, however, we need two more layers of complexity. Also, the color combination is almost always white and baby blue. Thermal contraction causes shrinkage cracks to form; in a thaw, water fills the cracks, expanding to form ice when next frozen, and widening the cracks into wedges. Tessellations, fractals, line patterns, meanderings, foams, and waves are all repeated patterns in nature. Stripes will orient parallel to a "parameter gradient," where the activating and inhibitory properties of the two proteins are higher at one end of the tissue than the other. Natural patterns are sometimes formed by animals, as in the Mima mounds of the Northwestern United States and some other areas, which appear to be created over many years by the burrowing activities of pocket gophers, while the so-called fairy circles of Namibia appear to be created by the interaction of competing groups of sand termites, along with competition for water among the desert plants. The Golden Ratio is often compared to the Fibonacci sequence of numbers. These require an oscillation created by two inhibiting signals, with interactions in both space and time. Tessellations are patterns that are formed by repeated cubes or tiles. In a very long and narrow tissue, there is only one direction diffusion can occur and this converts the Turing spot pattern into a stripe pattern (Figure 2). Where the two chemicals meet, they interact. Each of the images on the left represent an example of tree or fractal patterns. The beautiful patterns, anything non-random, we see come in many different forms, such as: Patterns occur in things that are both living and non-living, microscopic and gigantic, simple and complex. We can see ripples from disturbances like air and water waves. Each component on its own does not create a pattern. More puzzling is the reason for the fivefold (pentaradiate) symmetry of the echinoderms. These patterns have an evolutionary explanation: they have functions which increase the chances that the offspring of the patterned animal will survive to reproduce. This gradient is a protein or transcriptional/translational cofactor that causes higher gene expression of both the activator and inhibitor on one side of the tissue. From Canada, Ty was born in Vancouver, British Columbia in 1993. Fractal-like patterns occur widely in nature, in phenomena as diverse as clouds, river networks, geologic fault lines, mountains, coastlines, animal coloration, snow flakes, crystals, blood vessel branching, and ocean waves. Alan Turing was a British mathematician who was a cryptographer and a pioneer in computer science. Also, when we think of patterns, most of us envision a pattern that we can see. There are examples of this repeating pattern on every scale in nature, from seashells, crystals, leaves, and feathers to clouds, coastlines, mountains, and spiral galaxies. copyright 2003-2023 Study.com. As waves in water or wind pass over sand, they create patterns of ripples. Patterns in Nature | Repeating, Mathematical & Animal Patterns - Video Designs in Nature: Investigate the Branching Structure of Trees She has taught college level Physical Science and Biology. For example, we recognize the spots on a giraffe as a pattern, but they're not regular, nor are any of the spots the same size or shape. Animal patterns follow a mathematical formula - Digital Journal Patterns-in-Nature - Patterns-in-Nature - StuDocu 5. Spirals in nature. JulyProkopiv / Getty Images. Kids can play with wave patterns and properties at CuriOdyssey. Fractals | Brilliant Math & Science Wiki PDF AT A GLANCE OBJECTIVES KEY VOCABULARY - Museum of Science and Industry For example, the leaves of ferns and umbellifers (Apiaceae) are only self-similar (pinnate) to 2, 3 or 4 levels. The garden displays millions of flowers every year. Public comments are not allowed by the guestbook owner. When the distance between the eigenvalues is plotted for each complex system, a resulting graph is identical or universal. Its like a teacher waved a magic wand and did the work for me. Patterns, as Turing saw them, depend on two components: interacting agents and agent diffusion. Symmetry is pervasive in living things. For example, butterflies have symmetrical patterns. The numbers of successive layers of pinecone seeds, sunflower seeds, plant petals (usually in 3's and 5's), and the number of leaves on subsequent branches all demonstrate Fibonacci numbers. In disc phyllotaxis as in the sunflower and daisy, the florets are arranged in Fermat's spiral with Fibonacci numbering, at least when the flowerhead is mature so all the elements are the same size. These reflections may be mirror images with only two sides, like the two sides of our bodies; they may be symmetrical on several sides, like the inside of an apple sliced in half; or they might be symmetrical on all sides, like the different faces of a cube. The Euler characteristic states that for any convex polyhedron, the number of faces plus the number of vertices (corners) equals the number of edges plus two. These patterns were first studied by sending electrical currents through various materials and observing the resulting patterns. Numerical models in computer simulations support natural and experimental observations that the surface folding patterns increase in larger brains. Foams are a volume of bubbles of many sizes, where the spaces between each larger bubble contain smaller bubbles. Alan Turing, the prolific mathematician best known for helping to break the Enigma code at Bletchley Park during the Second World War, and for writing a scientific paper that would form the basis for . lessons in math, English, science, history, and more. 2 The base gure rotates at an angle of 90 in the clockwise direction. Create your account. Get unlimited access to over 88,000 lessons. Computational models predict that this type of gradient causes stripes to orient themselves perpendicular to the gradient (Figure 2)2. In 1202, Leonardo Fibonacci (c. 1170 c. 1250) introduced the Fibonacci number sequence to the western world with his book Liber Abaci. Gustav Klimt, The Tree of Life, 1910-11. Camouflage in Nature - Kings Camp Living things like orchids, hummingbirds, and the peacock's tail have abstract designs with a beauty of form, pattern and colour that artists struggle to match. Meandersare represented by bends in rivers and channels but can also be seen in other forms throughout the natural environment. I would definitely recommend Study.com to my colleagues. These evolve into reading the light, color and contrast. If the morphogen is present everywhere, the result is an even pigmentation, as in a black leopard. Mathematical patterns in nature are governed by specific formulas. I would definitely recommend Study.com to my colleagues. Patterns in Nature: Spots, Stripes, Fingers, and Toes Water splash approximates radial symmetry. In living organisms, we sometimes see spots and stripes as regular, orderly features, but more often they are varied and somewhat irregular, like the spots on a leopard or the stripes on a zebra. Complex natural patterns like the Fibonacci sequence can also be easily recognized outdoors. The photographer allowed comments from registered users only, Leave your comment below and click the Add Comment button. Patterns in Nature - Symmetry, Fractals & Geometry! - YouTube Straight away it's obvious why Turing's theory looked like a good candidate for explaining the zebra's stripes and the leopard's spots. He showed that simple equations could describe all the apparently complex spiral growth patterns of animal horns and mollusc shells. Similar forces, like directional growth and a morphogenic gradient, can also convert the spot pattern into stripes2. Mathematics is a tool to quantify, organice and control our world, predict phenomena and make life easier for us. Patterns in nature ~ Everything You Need to Know with Photos | Videos The size and shape of the pattern (called a Turing pattern) depends on how fast the chemicals diffuse and how strongly they interact. Students would draw . The sleek and glossy skin of the zebra has distinct stripes that are black and white in colour. We see this type of pattern in trees, rivers, mountains, shells, clouds, leaves, lightning, and more. Buckminsterfullerene C60: Richard Smalley and colleagues synthesised the fullerene molecule in 1985. In 1952, Alan Turing (19121954), better known for his work on computing and codebreaking, wrote The Chemical Basis of Morphogenesis, an analysis of the mechanisms that would be needed to create patterns in living organisms, in the process called morphogenesis. These arrangements have explanations at different levels mathematics, physics, chemistry, biology each individually correct, but all necessary together. Bilateral Symmetry Overview & Examples | What is Bilateral Symmetry? Rotational symmetry is found at different scales among non-living things, including the crown-shaped splash pattern formed when a drop falls into a pond, and both the spheroidal shape and rings of a planet like Saturn. There is a relationship between chaos and fractalsthe strange attractors in chaotic systems have a fractal dimension. Some animals use their patterns for camouflage, while others use them for communication. Mathematics, physics, and chemistry can explain patterns in nature at different levels. Meanderings are patterns seen in nature where curved lines are the dominant design. Patterns in Nature - UEN - Utah Education Network This is due to the AER at the distal-most part of the limb bud causing cell proliferation underneath it. More elaborate models simulate complex feather patterns in the guineafowl Numida meleagris in which the individual feathers feature transitions from bars at the base to an array of dots at the far (distal) end. Tiger bush stripes occur on arid slopes where plant growth is limited by rainfall. Fractal - Types, Structures And Examples - VEDANTU Its like a teacher waved a magic wand and did the work for me. It is a great example of how minor fluctuations can generate endless variations in a pattern, Roel Nusse, developmental biologist at Stanford Medicine, via 'Science'. The behavior of a species is also important. Besides making diffusion more likely in one direction than another, a tissue can be subject to a "production gradient." In some ways, foams can be fractal. Repeated uniform patterns are called tessellations, where the repeated shape is adjacent to the next, as shown in the snake image below. Fivefold symmetry is found in the echinoderms, the group that includes starfish, sea urchins, and sea lilies. Fibonacci gave an (unrealistic) biological example, on the growth in numbers of a theoretical rabbit population. They create beautiful patterns of lines that run in the same direction. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, Tessellations, cracks and stripes. Circles are found in tree stumps and oceans, while straight lines are seen on beaches and fields. The researchers have already produced several patterns seen in nature by a previous single gas gap dielectric barrier discharge system. - visible to everyone. When trees fall, the trees that they had sheltered become exposed and are in turn more likely to be damaged, so gaps tend to expand downwind. One example of a common pattern found throughout the natural world is the spiral. Nature can work fine without the equations. Spots & stripes; Plus, auditory patterns; These beautiful patterns are found throughout the natural world, from atomic to the astronomical scale. This type of modification could be produced by a gradient of a protein or cofactor that binds to the activator and both prevents it from activating gene expression and from being inhibited by the inihbitor (Figure 2)2. From his chaotic workspace he draws in several different illustrative styles with thick outlines, bold colours and quirky-child like drawings. Nature produces an amazing assortment of patterns such as tessellations, fractals, spots, stripes, spirals, waves, foams, meanderings, Voronoi, and line patterns such as cracks. Spirals are a natural pattern produced as the organism develops or a hurricane is formed depending upon the dynamics of growth and formation. Math Patterns Overview, Rules, & Types | What are Math Patterns? 8. Exact mathematical perfection can only approximate real objects. Early Greek philosophers studied pattern, with Plato, Pythagoras . A logarithmic spiral, as shown below, increases the distance of each spiral logarithmically. The patterns can sometimes be modeled mathematically and they include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks, and stripes. - Definition & Tools. Each of the small spots activates the expression of activator (which does not diffuse away quickly) and inhibitor (which diffuses away too quickly to completely eliminate activator expression from the initial point source). Many seashells have a spiral design. The cheetah ( Acinonyx jubatus) in the photo above is a beautiful example. His description of phyllotaxis and the Fibonacci sequence, the mathematical relationships in the spiral growth patterns of plants, is classic. Structures with minimal surfaces can be used as tents. These cracks may join up to form polygons and other shapes. No longer does a system have to evolve to a stationary pattern of spots or stripes. A lung, lightning strike, or a branch are examples of a fractal that was studied even earlier than the Mandelbrot set, the Lichtenburg figure. To unlock this lesson you must be a Study.com Member. The skeleton of the Radiolarian, Aulonia hexagona, a beautiful marine form drawn by Ernst Haeckel, looks as if it is a sphere composed wholly of hexagons, but this is mathematically impossible. Echinoderms like this starfish have fivefold symmetry. Leopards and ladybirds are spotted; angelfish and zebras are striped. Making waves Both are examples of a Turing pattern, order that arises . She enjoys exploring the potential forms that an idea can express itself in and helping then take shape. Study Uncovers What Makes Fingerprints Infinitely Unique Jefferson Method of Apportionment | Overview, Context & Purpose. . You may have heard of the Fibonacci sequence, which is the sequence of numbers that goes 1, 1, 2, 3, 5, 8, 13, 21. . In this case, the activator gets randomly turned on and it begins to diffuse away from its point source, activating itself in nearby cells. As with checked designs, one of the colors is usually white. Jeff is a senior graphic designer at Science World. Patterns in nature are the essence of art in the world. Continue to watch as the sides of that pyramid begin to avalanche. These complex systems have ranged from the energy levels of a heavy element to the bus times in a large city. In a very long and narrow tissue, there is only one direction diffusion can occur and this converts the Turing spot pattern into a stripe pattern (Figure 2). Mechanical waves propagate through a medium air or water, making it oscillate as they pass by. Meanwhile, on the windward side, young trees grow, protected by the wind shadow of the remaining tall trees. 4 B. All rights reserved. While the scientific explanation for how each of these is formed - and why they are significant in the natural world is amazing - the visual result is equally amazing. One example of a fractal is a Romanesco cauliflower: by zooming in, the smaller pieces look like the whole cauliflower on a smaller scale. Fractals in Math Overview & Examples | What is a Fractal in Math? In the case of spots and stripes, the activator causes cells to build up a dark pigment (the stripe or spot) and the inhibitor prevents pigment production. Turing patterns occur in nature when overlapping chemical activities give rise to complex patterns, like stripes and spots in animal fur or on tropical fish. This pattern is also exhibited by root systems and even algae. Spirals are common in plants and in some animals, notably molluscs. 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