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Centered hexagonal number

Index Centered hexagonal number

A centered hexagonal number, or hex number, is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in a hexagonal lattice. [1]

27 relations: Centered polygonal number, Cuban prime, Cube (algebra), Decimal, Figurate number, Hexagon, Hexagonal lattice, Hexagonal number, Magic hexagon, Packing problems, Prime number, Pronic number, Pyramidal number, Star number, Tin can, Triangular number, Vienna sausage, Wire, Wire rope, 1, 127 (number), 169 (number), 19 (number), 37 (number), 61 (number), 7, 91 (number).

Centered polygonal number

The centered polygonal numbers are a class of series of figurate numbers, each formed by a central dot, surrounded by polygonal layers with a constant number of sides.

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Cuban prime

A cuban prime (from the role cubes (third powers) play in the equations) is a prime number that is a solution to one of two different specific equations involving third powers of x and y. The first of these equations is: and the first few cuban primes from this equation are: 7, 19, 37, 61, 127, 271, 331, 397, 547, 631, 919, 1657, 1801, 1951, 2269, 2437, 2791, 3169, 3571, 4219, 4447, 5167, 5419, 6211, 7057, 7351, 8269, 9241,...

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Cube (algebra)

In arithmetic and algebra, the cube of a number is its third power: the result of the number multiplied by itself twice: It is also the number multiplied by its square: This is also the volume formula for a geometric cube with sides of length, giving rise to the name.

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Decimal

The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary) is the standard system for denoting integer and non-integer numbers.

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Figurate number

The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes (polygonal numbers) and different dimensions (polyhedral numbers).

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Hexagon

In geometry, a hexagon (from Greek ἕξ hex, "six" and γωνία, gonía, "corner, angle") is a six-sided polygon or 6-gon.

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Hexagonal lattice

The hexagonal lattice or triangular lattice is one of the five 2D lattice types.

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Hexagonal number

A hexagonal number is a figurate number.

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Magic hexagon

A magic hexagon of order n is an arrangement of numbers in a centered hexagonal pattern with n cells on each edge, in such a way that the numbers in each row, in all three directions, sum to the same magic constant M. A normal magic hexagon contains the consecutive integers from 1 to 3n2 − 3n + 1.

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Packing problems

Packing problems are a class of optimization problems in mathematics that involve attempting to pack objects together into containers.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Pronic number

A pronic number is a number which is the product of two consecutive integers, that is, a number of the form.

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Pyramidal number

A pyramidal number is a figurate number that represents a pyramid with a polygonal base and a given number of triangular sides.

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Star number

A star number is a centered figurate number that represents a centered hexagram (six-pointed star), such as the one that Chinese checkers is played on.

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Tin can

A tin can, tin (especially in British English, Australian English and Canadian English), steel can, steel packaging or a can, is a container for the distribution or storage of goods, composed of thin metal.

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Triangular number

A triangular number or triangle number counts objects arranged in an equilateral triangle, as in the diagram on the right.

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Vienna sausage

A Vienna sausage (Wiener Würstchen, Wiener; Viennese/Austrian German: Frankfurter Würstel or Würstl; Swiss German Wienerli; Swabian: Wienerle or Saitenwurst) is a thin parboiled sausage traditionally made of pork and beef in a casing of sheep's intestine, then given a low temperature smoking.

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Wire

A wire is a single, usually cylindrical, flexible strand or rod of metal.

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Wire rope

Steel wire rope (right hand langs lay) Wire rope is several strands of metal wire twisted into a helix forming a composite "rope", in a pattern known as "laid rope".

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1

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.

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127 (number)

127 (one hundred twenty-seven) is the natural number following 126 and preceding 128.

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169 (number)

169 (one hundred sixty-nine) is the natural number following 168 and preceding 170.

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19 (number)

19 (nineteen) is the natural number following 18 and preceding 20.

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37 (number)

37 (thirty-seven) is the natural number following 36 and preceding 38.

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61 (number)

61 (sixty-one) is the natural number following 60 and preceding 62.

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7

7 (seven) is the natural number following 6 and preceding 8.

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91 (number)

91 (ninety-one) is the natural number following 90 and preceding 92.

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Centred hexagonal number, Hex number.

References

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

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