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Topic: Hexahedron

	Hexahedron 999
		The Hexahedron 999 induces a Unified Field of energy in the water molecules, augmenting the Biophotons which carry the Six-Pointed Star in their center with the hexagonal geometries...
		When consuming highly Structured and Vitalized Hexahedron 999â¢ Water â¦ the General Vitality and White Light (Bio-photons) in the water is transported into the cellular structure causing them to vibrate at a higher frequency.
		Our test results on sprouting seeds and grains and on plant growth, using Hexahedron 999 water, shows that the cellular structure absorbs more of the nutrients resulting in larger, healthier, more productive plants (See the Photo Gallery).
	www.excelexgold.com /page7_wateralive_hexahedron999.html (158 words)

	Geometry of the Earth
		A circular arc is drawn as the radius of the circumscribing sphere.
		This is because neither endpoint of the planar apothem, a, of the hexahedron lies on the circumscribing sphere.
		Each edge of the characteristic spherical triangle generated by projecting the edges of the triangulated hexahedron onto a circumscribing sphere is a different angular measure; a = 45°, ½ e = 35.264° and r = 54.736°.
	home.fuse.net /tsmorand/geoearth.htm (669 words)

	Method and apparatus for generating an analyzing mesh for a three-dimensional area - Patent 5760779
		Sub-areas divided from a three-dimensional areas to be analyzed are generated by hexahedron meshes as much as possible, and for the sub-areas not formed by the hexahedron elements, tetrahedron meshes are generated by a tetrahedron mesh generation unit.
		In the method for generating the hexahedron elements, automatic generation of the hexahedron elements may be attained by using a computer for a simple three-dimensional area shape such as a parallelepiped but not for a complex shape.
		The hexahedron mesh generation unit 105 generates a mesh by the hexahedron elements in the sub-area, registers the mesh data in the mesh data area 103 and registers the data of the surface mesh shape in the mesh shape data area 102.
	www.freepatentsonline.com /5760779.html (3865 words)

	Poliedri
		Hence, the hexahedron is the dual of the octahedron.
		The invisible core of the star polyhedron is the hexahedron; the surface of this solid is composed of 24 equilateral triangles, 14 vertices and 36 edges.
		The dual of the tetrakis hexahedron is the truncated octahedron from the tetrakis hexahedron.
	www.gicas.net /poliedri_text.html (4932 words)

	PlanetMath: hexahedron
		A hexahedron is a polyhedron with six faces.
		This is version 2 of hexahedron, born on 2004-06-22, modified 2004-06-23.
		Object id is 5954, canonical name is Hexahedron.
	planetmath.org /encyclopedia/Hexahedron.html (37 words)

	Hexahedron 999 Structured & Vitalized Biophoton Infused Alive Water
		Hexahedron 999 Structured and Vitalized Biophoton Infused Alive Water
		The Hexahedron 999 induces a Unified Field of energy in the water molecules, augmenting the Biophotons which carry the Six-
		Our test results on sprouting seeds and grains and on plant growth, using Hexahedron 999 water, shows that the cellular structure absorbs more of the nutrients resulting in larger, healthier, more productive plants.
	www.wateralive.excelexgold.com (256 words)

	Trunc.Hexahedron (Site not responding. Last check: 2007-10-14)
		The notation describing this solid states that a triangle (3), a square (4), a triangle (3) and a square (4) meet at each of the vertices.
		This solid however can also be formed through the assemblage of the hexahedron and its dual, the octahedron using a common centre.
		This truncated hexahedron or more commonly known as the cuboctahedron which is also one of the quasi-regular polyhedra is derived from the compound of the hexahedron and the octahedron as is shown above.
	www.ul.ie /~cahird/polyhedronmode/truncate2.htm (201 words)

	Configuration of seven circles and ten points (Site not responding. Last check: 2007-10-14)
		A cube is a regular hexahedron, but there are plenty of irregular hexahedra.
		The hexahedron so determined doesn't have to be a convex hexadron, but it could have intersecting faces.
		The proposition can now be stated in terms of hexahedra as follows: if seven of the eight vertices of a hexahedron lie on a sphere, then so does the eighth.
	aleph0.clarku.edu /~djoyce/java/round/seventen.html (267 words)

	Tetrakis hexahedron - Wikipedia, the free encyclopedia
		A tetrakis hexahedron is a Catalan solid which looks a bit like an overinflated cube.
		Polyhedral dice shaped like the Tetrakis hexahedron are occasionally used by gamers.
		The Tetrakis hexahedron is the projection envelope of the 24-cell under a vertex-first perspective projection.
	en.wikipedia.org /wiki/Tetrakis_hexahedron (135 words)

	Mesh Generation (Site not responding. Last check: 2007-10-14)
		To make sure that the diagonal edges line up the same way when the hexahedra are pieced together, adjacent hexahedra are divided into tetrahedra in different ways (from the figure it can be seen that the diagonal edges on opposite sides are oriented differently).
		While dividing a hexahedron into five tetrahedra, each tetrahedron takes six edges and eight nodes from the eighteen and eight respectively in the hexahedron.
		As shown in Figure 6, the length along the x-axis of each brick (hexahedron) is 1 cm in the interval [1, 4], and 2 cm in the interval [4, 12].
	www.emclab.umr.edu /emap4/Meshing.html (732 words)

	VTK: vtkHexahedron Class Reference
		vtkHexahedron is a concrete implementation of vtkCell to represent a linear, 3D rectangular hexahedron (e.g., "brick" topology).
		The hexahedron is defined by the eight points (0-7) where (0,1,2,3) is the base of the hexahedron which, using the right hand rule, forms a quadrilaterial whose normal points in the direction of the opposite face (4,5,6,7).
		Thus, if computing derivatives for a scalar function in a hexahedron, dim=1, 8 values are supplied, and 3 deriv values are returned (i.e., derivatives in x-y-z directions).
	noodle.med.yale.edu /vtk/classvtkHexahedron.html (719 words)

	Tetrakis Hexahedron -- from Wolfram MathWorld
		In general, a tetrakis hexahedron is a non-regular icositetrahedron that can be constructed as a positive
		"The" tetrakis hexahedron is the 24-faced dual polyhedron of the truncated octahedron
		The edge lengths for the tetrakis hexahedron constructed as the dual of the
	mathworld.wolfram.com /TetrakisHexahedron.html (213 words)

	HEXAHEDRON (Site not responding. Last check: 2007-10-14)
		A hexahedron is a six-sided polyhedron specified by:
		HEXAHEDRON (or HEX or P6) is the keyword identifying the surface type;
		This input is listed in the COG outputfile as:.
	www-phys.llnl.gov /N_Div/COG/Manual/Surface/Hexahedron.html (94 words)

	Generalized Method of Decomposing Solid Geometry into Hexahedron Finite Elements
		ACRONEM is an automatic finite element mesh generator that works on a general assortment of geometries.
		The algorithm is based on a decomposition approach, where geometry is processed from a standard format of outer shell surface facets.
		ACRONEM is a truly automatic mesh generator that produces the least number of optimum hexahedron elements for all solid geometry.
	www.andrew.cmu.edu /user/sowen/abstracts/Ho169.html (684 words)

	The Support-Operators Method
		Note that these vertex weights do not sum to the total volume of the hexahedron unless the hexahedron is a parallelepiped.
		The sub-hexahedra are obtained by using four straight lines to connect each face center with the four edge centers adjacent to it, and by using six straight lines to connect the cell-center with the six face centers.
		Although it may not be obvious, each outer face of each sub-hexahedron coincides with a face of the hexahedron.
	www.lanl.gov /Augustus/Morel99a/node2.html (2883 words)

	Polyhedron, Polyhedra, Polytopes - Numericana
		In particular, any other hexahedron can be distorted into a shape which is its own mirror image, and the tetragonal antiwedge may thus unambiguously be called the chiral hexahedron.
		One of them may be constructed by cutting off one of the 4 base corners of a square pyramid to create a new triangular face.
		It could also be obtained by cutting an elongated square pyramid (the technical name for an obelisk) along a bisecting plane through the apex of the pyramid and the diagonal of the base prism, as pictured at right.
	home.att.net /~numericana/answer/polyhedra.htm (5386 words)

	Spinning Cube (Hexahedron)
		A cube is called a hexahedron because it is a polyhedron that has 6 (hexa- means 6) faces.
		Note: If you have more than one hexahedron they are called hexahedra (and the plural of cube is cubes of course!)
		Cubes make nice 6-sided dice, because they are regular in shape, and each face is the same size.
	www.mathsisfun.com /geometry/hexahedron.html (124 words)

	ArtLex's He-Hn page
		The formula with which to find an equilateral hexagon's area is 2.5981 times the length of one side squared.
		A cube is an equilateral hexahedron, as well as being a prismatoid.
		The regular hexahedron is one of the five Platonic solids (along with the tetrahedron, octahedron, dodecahedron, and icosahedron).
	www.artlex.com /ArtLex/He.html (2378 words)

	Generating Hexahedron-Dominant Mesh Based on Shrinking-Mapping Method (Site not responding. Last check: 2007-10-14)
		For every convex polyhedron, the algorithm proposed in this paper generates shrunken polyhedra one by one and uses hexahedron, wedge, pyramid and tetrahedron to fill between two adjacent polyhedra.
		The 2D boundary meshes of a convex polyhedron are mapped to the boundary polygons of the shrunken polyhedron.
		The mixed hexahedron mesh is generated based on the mapping relations and on the ending cases for the 2D meshes without direct mapping relation.
	www.andrew.cmu.edu /user/sowen/abstracts/Mi380.html (174 words)

	math cats make a hexahedron (Site not responding. Last check: 2007-10-14)
		Carefully cut out around the white area--the six triangles and four tabs.
		To make the largest possible hexahedron out of one sheet of paper, place it as shown so that your triangles and tabs still fit on the paper but unneeded portions of the circles get cut off.
		Now fold, crease, decorate, and glue your hexahedron, following the same hints given on the tetrahedron page.
	www.mathcats.com /crafts/hexahedron.html (94 words)

	FreeFEM3D (aka ff3d): Hexahedron Class Reference
		Referenced by Triangle::__computeVolume(), Quadrangle::__computeVolume(), ConnectedTriangle::base(), CartesianHexahedron::CartesianHexahedron(), Cell::Cell(), Triangle::edge(), Cell::find(), CartesianHexahedron::getLocalCoordinates(), Hexahedron(), Triangle::normal(), Quadrangle::normal(), Cell::operator()(), Cell::operator=(), Quadrangle::Quadrangle(), Cell::replace(), ConnectedTriangle::setVertices(), Tetrahedron::Tetrahedron(), Triangle::Triangle(), and Cell::~Cell().
		Referenced by Triangle::__computeVolume(), Quadrangle::__computeVolume(), CartesianHexahedron::CartesianHexahedron(), Hexahedron(), Cell::operator=(), Quadrangle::Quadrangle(), Tetrahedron::Tetrahedron(), and Cell::volume().
		The documentation for this class was generated from the following files:
	www.freefem.org /ff3d/doxygen/classHexahedron.html (418 words)

	VTK: vtkBoxWidget Class Reference
		This 3D widget defines a region of interest that is represented by an arbitrarily oriented hexahedron with interior face angles of 90 degrees (orthogonal faces).
		The first six correspond to the six faces, the seventh is in the center of the hexahedron.
		The first eight points define the eight corner vertices; the next six define the -x,+x, -y,+y, -z,+z face points; and the final point (the 15th out of 15 points) defines the center of the hexahedron.
	noodle.med.yale.edu /vtk/classvtkBoxWidget.html (1318 words)

	hexahedron - HighBeam Encyclopedia (Site not responding. Last check: 2007-10-14)
		Find newspaper and magazine articles plus images and maps related to "hexahedron" at HighBeam.
		Add these tips to your marketing plan.(Think Outside The Hexahedron)
		Student's stay inside bubble was a short one: Biocube becomes a vexing hexahedron
	www.encyclopedia.com /doc/1E1-x-hexahedr.html (141 words)

	Hexahedron -- from Wolfram MathWorld
		Through graph duality, the list of numbers of vertices for each polyhedron in a hexahedron corresponds to the degree sequence (sequence of vertex degrees) of a hexahedral graph.
		Gardner, M. "Find the Hexahedrons." §19.9 in Martin Gardner's New Mathematical Diversions from Scientific American.
		Weisstein, Eric W. "Hexahedron." From MathWorld--A Wolfram Web Resource.
	mathworld.wolfram.com /Hexahedron.html (208 words)

	VB Helper: Tutorial: Drawing Platonic Solids
		This article explains how to calculate the coordinates of the corners of the Platonic solids: tetrahedron, cube (hexahedron), octahedron, dodecahedron, and icosahedron.
		These solids are also known as the three-dimensional regular polytopes.
		The Platonic solids include the tetrahedron (4 triangular faces), cube or hexahedron (6 square faces), octahedron (8 triangular faces), dodecahedron (12 pentagonal faces), and the icosahedron (20 triangular faces).
	www.vb-helper.com /tutorial_platonic_solids.html (2137 words)

	Mud Magic: Hexahedron - Hexahedron is alive and kicking!
		Mud Magic: Hexahedron - Hexahedron is alive and kicking!
		When either you are a veteran, novice, or a newbie, Hexahedron has something for you.
		From our multiple arenas to our colorful players, if you want fight, sleep, or mindlessly kill brain cells, there is always something new.
	www.mudmagic.com /listings/game/1280 (87 words)

	MetaMesh - automatic 3D conformal mesh generator from Field Precision
		In a conformal mesh, elements are individually shaped to match object boundaries.
		The faithful representation of surfaces and the extended node coupling of the hexahedron mesh account for the high accuracy of AMaze programs.
		The MetaMesh script is a simple and well-documented format for the definition of arbitrary three-dimensional structures.
	www.fieldp.com /amaze/metamesh.html (197 words)

	Mathematics Animation: movie of a hexahedron or cube by Russell Kightley Media
		Mathematics Animation: movie of a hexahedron or cube by Russell Kightley Media
		E-mail RKM to find out about licensing this animation for publication, web sites, television etc. All animations are copyright.
		An hexahedron is a solid with 6 faces each composed of (in a regular hexahedron) squares.
	www.rkm.com.au /ANIMATIONS/animation-maths-hexahedron.html (255 words)

	Larry's Cube Corner
		I understand that Hungarian HexaHedron is not Rubik's Cube.
		I understand that Hungarian HexaHedron has a distinctive overall appearance different from Rubik's Cube.
		If I become confused and believe Hungarian HexaHedron is derived from, associated with, or is endorsed or sponsored by the owner of the Rubik's Cube trademark, I will cease and desist from using this program.
	www.leinweb.com /snackbar/cube (219 words)

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