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- 53/40In mathematics, the plastic ratio is a geometrical proportion close to 53/40. Its true value is the real solution of the equation x3 = x + 1. The adjective plastic does not refer to the artificial material, but to the formative and sculptural qualities of this ratio, as in plastic arts.
en.wikipedia.org/wiki/Plastic_ratio - See more
See all on WikipediaPlastic ratio - Wikipedia
In mathematics, the plastic ratio is a geometrical proportion close to 53/40. Its true value is the real solution of the equation x = x + 1. The adjective plastic does not refer to the artificial material, but to the formative and sculptural qualities of this ratio, as in plastic arts. See more
Three quantities a > b > c > 0 are in the plastic ratio if $${\displaystyle {\frac {a}{b}}={\frac {b+c}{a}}={\frac {b}{c}}.}$$ The ratio $${\displaystyle {\frac {a}{b}}}$$ is commonly denoted See more
In his quest for perceptible clarity, the Dutch Benedictine monk and architect Dom Hans van der Laan (1904-1991) asked for the … See more
Partitioning the square
There are precisely three ways of partitioning a square into three similar rectangles:
1. The trivial solution given by three congruent rectangles with aspect ratio 3:1.
2. See more• Laan, van der, Hans (1960), Le nombre plastique, Quinze leçons sur l'ordonnance architectonique, Leiden: Brill.
• See moreThe plastic ratio $${\displaystyle \rho }$$ and golden ratio $${\displaystyle \varphi }$$ are the only morphic numbers: real numbers x > 1 for which there exist natural numbers m and n … See more
ρ was first studied by Axel Thue in 1912 and by G. H. Hardy in 1919. French high school student Gérard Cordonnier [fr] discovered the ratio for himself in 1924. In his correspondence with Hans van der Laan a few years later, he called it the radiant number ( See more
Wikipedia text under CC-BY-SA license Plastic ratio - Wikiwand
In mathematics, the plastic ratio is a geometrical proportion close to 53/40. Its true value is the real solution of the equation x3 = x + 1.
Plastic Constant -- from Wolfram MathWorld
The plastic constant P, sometimes also called le nombre radiant, the minimal Pisot number, plastic number, plastic ratio, platin number, Siegel's number, or silver number, is the limiting ratio of the successive terms of the Padovan …
Lankford coefficient - Wikipedia
The Lankford coefficient (also called Lankford value, R-value, or plastic strain ratio) is a measure of the plastic anisotropy of a rolled sheet metal. This scalar quantity is used extensively as an indicator of the formability of recrystallized low-carbon steel sheets.
Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 2 mins
The Padovan Sequence and the Plastic Ratio - Going …
Oct 12, 2020 · Richard Padovan (an architect) attributed the sequence to Dom. Hans van Der Laan, ( a Dutch monk and architect) who named the ratio as the plastic number in 1928. The Church of St. Benedictusberg Abbey in the …
Plastic Ratio -- from Wolfram MathWorld
Jan 31, 2025 · About MathWorld; MathWorld Classroom; Contribute; MathWorld Book; wolfram.com; 13,239 Entries; Last Updated: Fri Jan 31 2025 ©1999–2025 Wolfram Research, …
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Plastic number - hellenicaworld.com
In mathematics, the plastic number ρ (also known as the plastic constant, the plastic ratio, the minimal Pisot number, the platin number,[2] Siegel's number or, in French, le nombre radiant) …
Category : Plastic ratio - Wikimedia
Media in category "Plastic ratio" The following 17 files are in this category, out of 17 total.
Plastic - Wikipedia
Plastics are a wide range of synthetic or semisynthetic materials that use polymers as a main ingredient. Their plasticity makes it possible for plastics to be molded, extruded, or pressed into solid objects of various shapes.
Plastic ratio - The Art and Popular Culture Encyclopedia
Jan 27, 2024 · In mathematics, the plastic ratio is a geometrical proportion close to Template:Math. Its true value is the real solution of the equation Template:Math Unless …
A060006 - OEIS
Decimal expansion of real root of x^3 - x - 1 (the plastic constant). Has been also called the silver number, also the plastic number. This is the smallest Pisot-Vijayaraghavan number.
Definition:Plastic Constant - ProofWiki
The plastic constant is also known as: the plastic number the plastic ratio the minimal Pisot number the platin number the silver number (not recommended as there is another constant …
SOME PROPERTIES OF THE PLASTIC CONSTANT
Dec 30, 2021 · We examine the nested radicals and continued fraction expansions of the plastic ratio. In addition, we give some properties and geometric interpretations of the plastic constant.
The plastic number, and Padovan and Perrin-like sequences
The ratio of $P_{n+1}$ to $P_n$ tends toward the plastic number (https://en.wikipedia.org/wiki/Plastic_number) as $n$ approaches infinity for the Padovan and …
The plastic number and its generalized polynomial - Taylor
Mar 20, 2015 · In this note, we turn our attention to the positive zero of the polynomial X 3-X-1, known as plastic number, which will throughout be denoted by ρ and is equal to 1 + 1 + 1 … 3 …
Talk:Plastic ratio - Wikipedia
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In this article, we construct the plastic number in the three-dimensional space. We examine the nested radicals and continued fraction expansions of the plastic ratio. In addition, we give...
Plastic ratio - atozwiki.com
In mathematics the plastic ratio is a geometrical proportion close to 5340. Its true value is the real solution of the equation x3 x 1.The
Poisson's ratio - Wikipedia
In materials science and solid mechanics, Poisson's ratio (symbol: ν ) is a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to …
The Plastic Transition Ratio - Ecobricks.org
Introducing the Plastic Transition Ratio– a way that individuals and companies can track their regenerative impact. We live in an age where it’s impossible to avoid plastic and our industrial …
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