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Barnsley's Fern
The Barnsley fern is a fractal named after the British mathematician Michael Barnsley who first described it in his book ''Fractals Everywhere''.Fractals Everywhere Boston, MA: Academic Press, 1993, He made it to resemble the black spleenwort, '' Asplenium adiantum-nigrum''. History The fern is one of the basic examples of self-similar sets, i.e. it is a mathematically generated pattern that can be reproducible at any magnification or reduction. Like the Sierpinski triangle, the Barnsley fern shows h ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barnsley Fern 1024x1024
Barnsley () is a market town in South Yorkshire, England. As the main settlement of the Metropolitan Borough of Barnsley and the fourth largest settlement in South Yorkshire. In Barnsley, the population was 96,888 while the wider Borough has seen an increase of 5.8%, from 231,200 in 2011 census to 244,600 in 2021 census. Historic counties of England, Historically in the West Riding of Yorkshire, it is located between the cities of Sheffield, Manchester, Doncaster, Wakefield, and Leeds. The larger towns of Rotherham and Huddersfield are nearby. Barnsley's former industries include linen, coal mining, glassmaking and textiles. These declined in the 20th century, but Barnsley's culture is rooted in its industrial heritage and it has a tradition of brass bands, originally created as social clubs by its mining communities. The town is near to the M1 motorway and is served by Barnsley Interchange railway station on the Hallam Line, Hallam and Penistone Line, Penistone Lines. Barns ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barnsley Fern With Different Coefficients Plotted With VisSim
Barnsley () is a market town in South Yorkshire, England. As the main settlement of the Metropolitan Borough of Barnsley and the fourth largest settlement in South Yorkshire. In Barnsley, the population was 96,888 while the wider Borough has seen an increase of 5.8%, from 231,200 in 2011 census to 244,600 in 2021 census. Historically in the West Riding of Yorkshire, it is located between the cities of Sheffield, Manchester, Doncaster, Wakefield, and Leeds. The larger towns of Rotherham and Huddersfield are nearby. Barnsley's former industries include linen, coal mining, glassmaking and textiles. These declined in the 20th century, but Barnsley's culture is rooted in its industrial heritage and it has a tradition of brass bands, originally created as social clubs by its mining communities. The town is near to the M1 motorway and is served by Barnsley Interchange railway station on the Hallam and Penistone Lines. Barnsley has competed in the second tier of Eng ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
L-systems
An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar. An L-system consists of an alphabet of symbols that can be used to make strings, a collection of production rules that expand each symbol into some larger string of symbols, an initial "axiom" string from which to begin construction, and a mechanism for translating the generated strings into geometric structures. L-systems were introduced and developed in 1968 by Aristid Lindenmayer, a Hungarian theoretical biologist and botanist at the University of Utrecht. Lindenmayer used L-systems to describe the behaviour of plant cells and to model the growth processes of plant development. L-systems have also been used to model the morphology of a variety of organisms and can be used to generate self-similar fractals. Origins As a biologist, Lindenmayer worked with yeast and filamentous fungi and studied the growth patterns of various types of bacteria, such as the cyanobacteria '' Anabaena ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Affine Geometry
In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle. As the notion of ''parallel lines'' is one of the main properties that is independent of any metric, affine geometry is often considered as the study of parallel lines. Therefore, Playfair's axiom (Given a line L and a point P not on L, there is exactly one line parallel to L that passes through P.) is fundamental in affine geometry. Comparisons of figures in affine geometry are made with affine transformations, which are mappings that preserve alignment of points and parallelism of lines. Affine geometry can be developed in two ways that are essentially equivalent. In synthetic geometry, an affine space is a set of ''points'' to which is associated a set of lines, which satisfy some axioms (such as Playfair's axiom). Affine geometry can also be developed on the basis of linear algebra. In this context an affine s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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The comma is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation mark () in many typefaces, but it differs from them in being placed on the baseline of the text. Some typefaces render it as a small line, slightly curved or straight, but inclined from the vertical. Other fonts give it the appearance of a miniature filled-in figure on the baseline. The comma is used in many contexts and languages, mainly to separate parts of a sentence such as clauses, and items in lists mainly when there are three or more items listed. The word ''comma'' comes from the Greek (), which originally meant a cut-off piece, specifically in grammar, a short clause. A comma-shaped mark is used as a diacritic in several writing systems and is considered distinct from the cedilla. In Byzantine and modern copies of Ancient Greek, the "rough" and " smooth breathings" () appear above the letter. In Lat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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The comma is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation mark () in many typefaces, but it differs from them in being placed on the baseline of the text. Some typefaces render it as a small line, slightly curved or straight, but inclined from the vertical. Other fonts give it the appearance of a miniature filled-in figure on the baseline. The comma is used in many contexts and languages, mainly to separate parts of a sentence such as clauses, and items in lists mainly when there are three or more items listed. The word ''comma'' comes from the Greek (), which originally meant a cut-off piece, specifically in grammar, a short clause. A comma-shaped mark is used as a diacritic in several writing systems and is considered distinct from the cedilla. In Byzantine and modern copies of Ancient Greek, the "rough" and " smooth breathings" () appear above the letter. In Lat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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The comma is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation mark () in many typefaces, but it differs from them in being placed on the baseline of the text. Some typefaces render it as a small line, slightly curved or straight, but inclined from the vertical. Other fonts give it the appearance of a miniature filled-in figure on the baseline. The comma is used in many contexts and languages, mainly to separate parts of a sentence such as clauses, and items in lists mainly when there are three or more items listed. The word ''comma'' comes from the Greek (), which originally meant a cut-off piece, specifically in grammar, a short clause. A comma-shaped mark is used as a diacritic in several writing systems and is considered distinct from the cedilla. In Byzantine and modern copies of Ancient Greek, the "rough" and " smooth breathings" () appear above the letter. In Lat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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The comma is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation mark () in many typefaces, but it differs from them in being placed on the baseline of the text. Some typefaces render it as a small line, slightly curved or straight, but inclined from the vertical. Other fonts give it the appearance of a miniature filled-in figure on the baseline. The comma is used in many contexts and languages, mainly to separate parts of a sentence such as clauses, and items in lists mainly when there are three or more items listed. The word ''comma'' comes from the Greek (), which originally meant a cut-off piece, specifically in grammar, a short clause. A comma-shaped mark is used as a diacritic in several writing systems and is considered distinct from the cedilla. In Byzantine and modern copies of Ancient Greek, the "rough" and " smooth breathings" () appear above the letter. In Lat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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The comma is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation mark () in many typefaces, but it differs from them in being placed on the baseline of the text. Some typefaces render it as a small line, slightly curved or straight, but inclined from the vertical. Other fonts give it the appearance of a miniature filled-in figure on the baseline. The comma is used in many contexts and languages, mainly to separate parts of a sentence such as clauses, and items in lists mainly when there are three or more items listed. The word ''comma'' comes from the Greek (), which originally meant a cut-off piece, specifically in grammar, a short clause. A comma-shaped mark is used as a diacritic in several writing systems and is considered distinct from the cedilla. In Byzantine and modern copies of Ancient Greek, the "rough" and "smooth breathings" () appear above the letter. In Latvian, Ro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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The comma is a punctuation mark that appears in several variants in different languages. It has the same shape as an apostrophe or single closing quotation mark () in many typefaces, but it differs from them in being placed on the baseline of the text. Some typefaces render it as a small line, slightly curved or straight, but inclined from the vertical. Other fonts give it the appearance of a miniature filled-in figure on the baseline. The comma is used in many contexts and languages, mainly to separate parts of a sentence such as clauses, and items in lists mainly when there are three or more items listed. The word ''comma'' comes from the Greek (), which originally meant a cut-off piece, specifically in grammar, a short clause. A comma-shaped mark is used as a diacritic in several writing systems and is considered distinct from the cedilla. In Byzantine and modern copies of Ancient Greek, the "rough" and "smooth breathings" () appear above the letter. In Latvian, R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thelypteridaceae
Thelypteridaceae is a family of about 900 species of ferns in the order Polypodiales. In the Pteridophyte Phylogeny Group classification of 2016 (PPG I), it is placed in the suborder Aspleniineae. Alternatively, the family may be submerged in a very broadly defined family Aspleniaceae as the subfamily Thelypteridoideae. The ferns are terrestrial, with the exception of a few which are lithophytes (grow on rocks). The bulk of the species are tropical, although there are a number of temperate species. These ferns typically have creeping rhizomes. The fronds are simply pinnate to pinnate-pinnatifid. There is either no frond dimorphism or only mild dimorphism, either open venation or very simple anastomosing. The sori are mostly reniform in shape and have indusia, except for the ''Phegopteris'' group. Classification During the early and mid 1900's all thelypterioid ferns were included in the genus ''Dryopteris'' because of the sorus shape. However, there are a great many differ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
