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On affine images of regular pentagons and pentagrams - MaRDI portal

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On affine images of regular pentagons and pentagrams (Q1407625)

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scientific article; zbMATH DE number 1982542
Language Label Description Also known as
English
On affine images of regular pentagons and pentagrams
scientific article; zbMATH DE number 1982542

    Statements

    title
    On affine images of regular pentagons and pentagrams (English)
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    author
    Zvonko Čerin
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    publication date
    16 September 2003
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    review text
    The author obtains some interesting characterizations of the affine images of regular pentagons and pentagrams by concurrences of certain median lines of pentagons in the plane. These characterizations are strongly related to the number \(\sqrt 5\) and the golden section. Various figures illustrate the proofs and results in a geometrically nice manner.
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    zbMATH Keywords
    affinely regular polygon
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    ellipse
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    pentagrams
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    median lines
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    pentagons
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    golden section
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    reviewed by
    Horst Martini
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    Identifiers

    Mathematics Subject Classification ID
    51M04
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    51N20
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    14A25
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    14Q05
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    zbMATH DE Number
    1982542
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    OpenAlex ID
    W1988949523
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