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Topic: Hexagonal number

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Centered hexagonal number

1 (number)

15 (number)

Hexagon

Golden ratio

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	What's Special About This Number?
		is the number of planar partitions of 10.
		is the number of planar partitions of 11.
		is the number of planar partitions of 12.
	www.stetson.edu /~efriedma/numbers.html (7257 words)

	Centered hexagonal number - Wikipedia, the free encyclopedia
		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.
		Viewed from the opposite perspective, centered hexagonal numbers are differences of two consecutive cubes, so that the centered hexagonal numbers are the gnomon of the cubes.
		and the nth centered hexagonal number is a pronic number.
	en.wikipedia.org /wiki/Centered_hexagonal_number (314 words)

	Hexagon article - Hexagon polygon edges vertices Schläfli symbol angles ° squares triangles - What-Means.com (Site not responding. Last check: 2007-11-06)
		A hexagon (also known as "sexagon") is a polygon with six edges and six vertices.
		The internal angles of a regular hexagon (one where all sides and all angles are equal) are all 120°.
		The archimedean solids with some hexagonal faces are the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron.
	www.what-means.com /encyclopedia/Hexagonal (193 words)

	Numerical Geometry
		Triangular Number is the sum of all the numbers from 1 to n.
		Hexagonal Numbers are a subsequence of Triangular Numbers, generated by the Triangular Numbers with odd indices.
		The Number 19 is the number of Physical Manifestation.
	www.biblewheel.com /GR/GR_Figurate.asp (1557 words)

	Hypercubes, Hexagons, Halayudha, Hermes, and Plato
		The Jth entry of row N is the number (N,J) = N! of J-dimensional sub-simplexes of an N-dimensional simplex, or hypertetrahedron.
		Hexagonal Numbers of order N are the number of points on a hexagonal pattern nested N times.
		The hexagonal 28 plus (8 + 1 + 8) is 45 (also a hexagonal number), the sum of the numbers of the Lo Shu magic square, which is the dimension of the D5 Lie algebra Spin(0,10).
	www.valdostamuseum.org /hamsmith/cube.html (2015 words)

	Notable Properties of Specific Numbers at MROB (Site not responding. Last check: 2007-11-06)
		Such numbers are odd and don't end in 5, because there is a natural psychological bias to thinking even numbers and numbers that end in 5 are "less random".
		The numbers with this property are: 1, 8, (10), 45, 297, 2322, 2728, 4445, 4544, 4949, 5049, 5455, 5554, 7172, 27100, 44443, 55556, 60434, 77778, 143857,...
		The number that most Americans know best from its use as a speed limit also happens to be a Fibonacci number and the sum of the numbers 1 through 10 (which makes it the 10th triangular number).
	home.earthlink.net /~mrob/pub/math/numbers-5.html (2506 words)

	Welcome to Vortex Water Technology INC. (Site not responding. Last check: 2007-11-06)
		Aging is a loss of Hexagonal Water from organs, tissues and cells and an overall decrease in total body water.
		Hexagonal Water is a specific arrangement of individual water molecules where 6 H2O units consistently link to form a ring-like structure.
		The percentage of hexagonal units appears to depend on a number of factors, including the energetic influences that water is exposed to.
	www.vortexwatertech.com /ad.htm (1266 words)

	Abramovich, Fujii, and Wilson article
		Therefore the number of dots in the parallelogram is n(n+1), and the number of dots in the triangle is
		, are triangular; numbers 5151, 501501, 50015001, 5000150001,...
		One can visualize that any polygonal number of side m and of rank n is constituted with a triangular number of the same rank and m-3 (3 in the case of a hexagonal number) triangular numbers of the previous rank.
	jwilson.coe.uga.edu /Texts.Folder/AFW/AFWarticle.html (8744 words)

	Centered Hexamorphic Numbers by Cliff Pickover (Site not responding. Last check: 2007-11-06)
		They describe the number of grid points in nested concentric hexagonal lattices.
		A centered hexagonal number is called "centered hexamorphic" if it terminates with its associated centered hexagonal integer.
		A convenient notation a_5 = aaaaa can be employed where the subscript indicates the number of times the digit or group appears consecutively.
	sprott.physics.wisc.edu /pickover/clifft.html (124 words)

	Math Forum: Pascal's Triangle
		are figurate numbers (numbers that can be represented by a regular geometric arrangement of equally spaced points), and 6-polygonal numbers of the form n(2n-1).
		Every hexagonal number is also a triangular number.
		Like the triangular numbers, the hexagonal numbers are found in the third diagonal of
	mathforum.org /workshops/usi/pascal/pascal_hexagonal.html (55 words)

	The Number 541 - Israel and the Commandments
		The Number 541 - Israel and the Commandments
		The numerical weight of the name Israel is identitical to the value of the Tenth Hexagonal Star Number:
		The Prime Number 541 is also the value of The Commandments, Unleavened Bread, and Tablets of Stone upon which the commandments were written!
	www.biblewheel.com /GR/GR_541.asp (92 words)

	Body Centered Cubic (Site not responding. Last check: 2007-11-06)
		Centeret hexagonal number 1: he center dot in successive hexagonal layers.
		The Centeres pentagonal number for ''n'' is given by the formu 5: The first few Cnetered pentagonal numbers are 9: The parity of Cejtered pentagonal numbers follows the pattern even-even-
		Crntered triangular number 1: g the center in successive triangular layers.
	www.super8filmmaking.com /tail/35031-body-centered-cubic.html (455 words)

	Table of Figurate Numbers, Sorted, Through 10,000
		It is also the first of an infinite number of multidimensional Polytope Numbers such as the Pentatope (4-Simplex or Hypertetrahedron), Hyperoctahedron, 24-cell, Hyperdodecahedron, and Hypericosahedron -- these Polytope numbers are the subject of a recent paper by this author, and will be given their own web page soon.
		Hendecagonal Number, or 11-gonal number, Hen(16), hence the Heterogeneous Jonathan Number Hen(S(4))
		Hendecagonal Number, or 11-gonal number, Hen(25), hence the Heterogeneous Jonathan Number Hen(S(5))
	www.magicdragon.com /fig.html (10985 words)

	On the Number 61
		The 5th centered hexagonal number = 1, 7, 19, 37, 61, 91
		Sum of the 1st and 17th prime numbers = 2 + 59 = 61
		Sum of the 1st, 3rd, and 5th hexagonal numbers = 1 + 15 + 45 = 61
	www.wisdomportal.com /Numbers/61.html (11856 words)

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