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Plastic ratio, the Glossary

In mathematics, the plastic ratio is a geometrical proportion close to.^[1]

58 relations: Almost integer, Architectural Histories, Aspect ratio, Axel Thue, Benedictines, Binomial coefficient, Brady Haran, Bring radical, Carl Ludwig Siegel, Characteristic equation (calculus), Circumcircle, Combinatorics on words, Composition (combinatorics), Conjugate element (field theory), Continued fraction, Cubic equation, Dedekind eta function, Discrete & Computational Geometry, Discriminant, Donald Knuth, Fermat's little theorem, Fixed-point iteration, G. H. Hardy, Generating function, Geometric series, Golden ratio, Hans van der Laan, Hilbert class field, Incidence matrix, L-system, Martin Gardner, Matrix (mathematics), Metallic mean, Midhat J. Gazalé, Minimal polynomial (field theory), Nieuw Archief voor Wiskunde, Padovan sequence, Pari (letter), Perrin number, Phase (waves), Pisot–Vijayaraghavan number, Plastic, Pseudoprime, Quadratic field, Rauzy fractal, Recurrence relation, Richard Padovan, Ring of integers, Routh–Hurwitz theorem, Self-similarity, ... Expand index (8 more) »
Composition in visual art
Cubic irrational numbers
History of geometry

Almost integer

In recreational mathematics, an almost integer (or near-integer) is any number that is not an integer but is very close to one.

See Plastic ratio and Almost integer

Architectural Histories

Architectural Histories is a peer-reviewed open access scholarly journal publishing historically grounded research into all aspects of architecture and the built environment, since 2013.

See Plastic ratio and Architectural Histories

Aspect ratio

The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions.

See Plastic ratio and Aspect ratio

Axel Thue

Axel Thue (19 February 1863 – 7 March 1922) was a Norwegian mathematician, known for his original work in diophantine approximation and combinatorics.

See Plastic ratio and Axel Thue

The Benedictines, officially the Order of Saint Benedict (Ordo Sancti Benedicti, abbreviated as OSB), are a mainly contemplative monastic order of the Catholic Church for men and for women who follow the Rule of Saint Benedict.

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Binomial coefficient

In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Plastic ratio and binomial coefficient are integer sequences.

See Plastic ratio and Binomial coefficient

Brady Haran

Brady John Haran (born 18 June 1976) is an Australian-British independent filmmaker and video journalist who produces educational videos and documentary films for his YouTube channels, the most notable being Computerphile and Numberphile.

See Plastic ratio and Brady Haran

Bring radical

In algebra, the Bring radical or ultraradical of a real number a is the unique real root of the polynomial x^5 + x + a. The Bring radical of a complex number a is either any of the five roots of the above polynomial (it is thus multi-valued), or a specific root, which is usually chosen such that the Bring radical is real-valued for real a and is an analytic function in a neighborhood of the real line.

See Plastic ratio and Bring radical

Carl Ludwig Siegel

Carl Ludwig Siegel (31 December 1896 – 4 April 1981) was a German mathematician specialising in analytic number theory.

See Plastic ratio and Carl Ludwig Siegel

Characteristic equation (calculus)

In mathematics, the characteristic equation (or auxiliary equation) is an algebraic equation of degree upon which depends the solution of a given th-order differential equation or difference equation.

See Plastic ratio and Characteristic equation (calculus)

Circumcircle

In geometry, the circumscribed circle or circumcircle of a triangle is a circle that passes through all three vertices.

See Plastic ratio and Circumcircle

Combinatorics on words

Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages.

See Plastic ratio and Combinatorics on words

Composition (combinatorics)

In mathematics, a composition of an integer n is a way of writing n as the sum of a sequence of (strictly) positive integers.

See Plastic ratio and Composition (combinatorics)

Conjugate element (field theory)

In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element, over a field extension, are the roots of the minimal polynomial of over.

See Plastic ratio and Conjugate element (field theory)

Continued fraction

In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on.

See Plastic ratio and Continued fraction

Cubic equation

In algebra, a cubic equation in one variable is an equation of the form ax^3+bx^2+cx+d.

See Plastic ratio and Cubic equation

Dedekind eta function

In mathematics, the Dedekind eta function, named after Richard Dedekind, is a modular form of weight 1/2 and is a function defined on the upper half-plane of complex numbers, where the imaginary part is positive.

See Plastic ratio and Dedekind eta function

Discrete & Computational Geometry

Discrete & Computational Geometry is a peer-reviewed mathematics journal published quarterly by Springer.

See Plastic ratio and Discrete & Computational Geometry

Discriminant

In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them.

See Plastic ratio and Discriminant

Donald Knuth

Donald Ervin Knuth (born January 10, 1938) is an American computer scientist and mathematician.

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Fermat's little theorem

In number theory, Fermat's little theorem states that if is a prime number, then for any integer, the number is an integer multiple of.

See Plastic ratio and Fermat's little theorem

Fixed-point iteration

In numerical analysis, fixed-point iteration is a method of computing fixed points of a function.

See Plastic ratio and Fixed-point iteration

G. H. Hardy

Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis.

See Plastic ratio and G. H. Hardy

Generating function

In mathematics, a generating function is a representation of an infinite sequence of numbers as the coefficients of a formal power series.

See Plastic ratio and Generating function

Geometric series

In mathematics, a geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

See Plastic ratio and Geometric series

Golden ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. Plastic ratio and golden ratio are composition in visual art, history of geometry and mathematical constants.

See Plastic ratio and Golden ratio

Hans van der Laan

Dom Hans van der Laan (29 December 1904 – 19 August 1991) was a Dutch Benedictine monk and architect.

See Plastic ratio and Hans van der Laan

Hilbert class field

In algebraic number theory, the Hilbert class field E of a number field K is the maximal abelian unramified extension of K. Its degree over K equals the class number of K and the Galois group of E over K is canonically isomorphic to the ideal class group of K using Frobenius elements for prime ideals in K.

See Plastic ratio and Hilbert class field

Incidence matrix

In mathematics, an incidence matrix is a logical matrix that shows the relationship between two classes of objects, usually called an incidence relation.

See Plastic ratio and Incidence matrix

L-system

An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar.

See Plastic ratio and L-system

Martin Gardner

Martin Gardner (October 21, 1914May 22, 2010) was an American popular mathematics and popular science writer with interests also encompassing magic, scientific skepticism, micromagic, philosophy, religion, and literatureespecially the writings of Lewis Carroll, L. Frank Baum, and G. K. Chesterton.

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Matrix (mathematics)

In mathematics, a matrix (matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows and columns, which is used to represent a mathematical object or property of such an object.

See Plastic ratio and Matrix (mathematics)

The metallic mean (also metallic ratio, metallic constant, or noble means) of a natural number is a positive real number, denoted here S_n, that satisfies the following equivalent characterizations.

See Plastic ratio and Metallic mean

Midhat J. Gazalé

Midhat Gazalé (22 July 1929 – 8 June 2009) was an international telecommunications and space consultant and a visiting Professor of Telecommunications and Computer Management at the University of Paris IX.

See Plastic ratio and Midhat J. Gazalé

Minimal polynomial (field theory)

In field theory, a branch of mathematics, the minimal polynomial of an element of an extension field of a field is, roughly speaking, the polynomial of lowest degree having coefficients in the smaller field, such that is a root of the polynomial.

See Plastic ratio and Minimal polynomial (field theory)

Nieuw Archief voor Wiskunde

The Nieuw Archief voor Wiskunde (English translated title: New Archive for Mathematics) is a quarterly Dutch peer-reviewed scientific journal of mathematics published by the Koninklijk Wiskundig Genootschap (Royal Mathematical Society) since 1875.

See Plastic ratio and Nieuw Archief voor Wiskunde

Padovan sequence

In number theory, the Padovan sequence is the sequence of integers P(n) defined. Plastic ratio and Padovan sequence are integer sequences.

See Plastic ratio and Padovan sequence

Pari (letter)

Pari (asomtavruli, nuskhuri, mkhedruli ფ, mtavruli Ფ) is the 24th letter of the three Georgian scripts.

See Plastic ratio and Pari (letter)

Perrin number

In mathematics, the Perrin numbers are a doubly infinite constant-recursive integer sequence with characteristic equation. Plastic ratio and Perrin number are integer sequences.

See Plastic ratio and Perrin number

Phase (waves)

In physics and mathematics, the phase (symbol φ or ϕ) of a wave or other periodic function F of some real variable t (such as time) is an angle-like quantity representing the fraction of the cycle covered up to t. It is expressed in such a scale that it varies by one full turn as the variable t goes through each period (and F(t) goes through each complete cycle).

See Plastic ratio and Phase (waves)

Pisot–Vijayaraghavan number

In mathematics, a Pisot–Vijayaraghavan number, also called simply a Pisot number or a PV number, is a real algebraic integer greater than 1, all of whose Galois conjugates are less than 1 in absolute value.

See Plastic ratio and Pisot–Vijayaraghavan number

Plastic

Plastics are a wide range of synthetic or semi-synthetic materials that use polymers as a main ingredient.

See Plastic ratio and Plastic

Pseudoprime

A pseudoprime is a probable prime (an integer that shares a property common to all prime numbers) that is not actually prime.

See Plastic ratio and Pseudoprime

Quadratic field

In algebraic number theory, a quadratic field is an algebraic number field of degree two over \mathbf, the rational numbers.

See Plastic ratio and Quadratic field

Rauzy fractal

In mathematics, the Rauzy fractal is a fractal set associated with the Tribonacci substitution It was studied in 1981 by Gérard Rauzy, with the idea of generalizing the dynamic properties of the Fibonacci morphism.

See Plastic ratio and Rauzy fractal

Recurrence relation

In mathematics, a recurrence relation is an equation according to which the nth term of a sequence of numbers is equal to some combination of the previous terms.

See Plastic ratio and Recurrence relation

Richard Padovan

Richard Padovan (born 1935) is an architect, author, translator and lecturer.

See Plastic ratio and Richard Padovan

Ring of integers

In mathematics, the ring of integers of an algebraic number field K is the ring of all algebraic integers contained in K. An algebraic integer is a root of a monic polynomial with integer coefficients: x^n+c_x^+\cdots+c_0.

See Plastic ratio and Ring of integers

Routh–Hurwitz theorem

In mathematics, the Routh–Hurwitz theorem gives a test to determine whether all roots of a given polynomial lie in the left half-plane.

See Plastic ratio and Routh–Hurwitz theorem

Self-similarity

In mathematics, a self-similar object is exactly or approximately similar to a part of itself (i.e., the whole has the same shape as one or more of the parts).

See Plastic ratio and Self-similarity

Semi-Thue system

In theoretical computer science and mathematical logic a string rewriting system (SRS), historically called a semi-Thue system, is a rewriting system over strings from a (usually finite) alphabet.

See Plastic ratio and Semi-Thue system

Silver ratio

In mathematics, two quantities are in the silver ratio (or silver mean) if the ratio of the larger of those two quantities to the smaller quantity is the same as the ratio of the sum of the smaller quantity plus twice the larger quantity to the larger quantity (see below). Plastic ratio and silver ratio are mathematical constants.

See Plastic ratio and Silver ratio

Snub icosidodecadodecahedron

In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46.

See Plastic ratio and Snub icosidodecadodecahedron

St. Benedictusberg Abbey

St.

See Plastic ratio and St. Benedictusberg Abbey

Supergolden ratio

In mathematics, the supergolden ratio is a geometrical proportion close to. Plastic ratio and supergolden ratio are cubic irrational numbers, history of geometry, integer sequences and mathematical constants.

See Plastic ratio and Supergolden ratio

Vera W. de Spinadel

Vera Martha Winitzky de Spinadel (August 22, 1929 – January 26, 2017) was an Argentine mathematician.

See Plastic ratio and Vera W. de Spinadel

Weber modular function

In mathematics, the Weber modular functions are a family of three functions f, f1, and f2,f, f1 and f2 are not modular functions (per the Wikipedia definition), but every modular function is a rational function in f, f1 and f2.

See Plastic ratio and Weber modular function

Zero of a function

In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is a solution to the equation f(x).

See Plastic ratio and Zero of a function

References

[1] https://en.wikipedia.org/wiki/Plastic_ratio

Also known as Cordonnier number, Plastic constant, Plastic number, Plastic sequence, Plastic spiral, Radiant number, Siegel's Number, Van der Laan sequence.

, Semi-Thue system, Silver ratio, Snub icosidodecadodecahedron, St. Benedictusberg Abbey, Supergolden ratio, Vera W. de Spinadel, Weber modular function, Zero of a function.

Plastic ratio, the Glossary

Table of Contents

See also

Composition in visual art

Cubic irrational numbers

History of geometry

References