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Topic: Bipyramid

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	Polytopes Built of Congruent Bipyramids. Part 1.
		Bipyramid is a polyhedron formed of two congruent pyramids glued face-to-face, where this faces are the bases of these pyramids.
		For the case W is a 5-cells regular polytope we’ll receive a polytope with 10 cells.
		There are two more examples of polytopes built of bipyramids on the page of ‘Literka’ Polytopes Built of Bipyramids.
	www.literka.addr.com /polytopes/bipyramids1.htm (525 words)

	Bipyramid
		A bipyramid is a polyhedron formed by joining two identical pyramids base-to-base.
		The bipyramids are the dual polyhedra of the prisms.
		Three bipyramids can be made out of all regular triangles, the octahedron (square bipyramid), which counts among the Platonic solids, and the triangular and pentagonal bipyramids, which count among the Johnson solids.
	www.ebroadcast.com.au /lookup/encyclopedia/bi/Bipyramid.html (53 words)

	Bipyramid at AllExperts
		The referenced n-agon in the name of the bipyramids is not an external face but an internal one, existing on the primary symmetry plane which connects the two pyramid halves.
		The face-uniform bipyramids are the dual polyhedra of the uniform prisms and will generally have isosceles triangle faces.
		Three bipyramids can be made out of all equilateral triangles, the octahedron (tetragonal bipyramid), which counts among the Platonic solids, and the triangular and pentagonal bipyramids, which count among the Johnson solids.
	en.allexperts.com /e/b/bi/bipyramid.htm (319 words)

	Bipyramids - Clipart ETC
		A tetragonal bipyramidal crystal where the vertical axis is shorter than the horizontal axes.
		A tetragonal bipyramidal crystal where the vertical axis is longer than the horizontal axes.
		Represents the relation between the tetragonal bipyramid of the first order when the indices are {111}.
	etc.usf.edu /clipart/galleries/math/bipyramids.php (213 words)

	Trigonal BiPyramid Geometry
		Trigonal bipyramid geometry is characterized by 5 electron pairs.
		With four atoms and one lone pair, the electron pair geometry is trigonal bipyramid.
		The electron pair geometry is trigonal bipyramid and the molecular geometry is T-shape.
	elmhurst.edu /~chm/vchembook/220trigbipy.html (343 words)

	Hyperspace Star Polytope Slicer
		The cells of the FC objects are all bipyramids.
		A bipyramid is a pair of pyramids stuck together on their bases.
		The cells of the FC-Hypercube are 24 square bipyramids which happen to be octahedra.
	dogfeathers.com /java/hyperstar.html (1737 words)

	Stauraxonia homopola II
		The basic form of the Sigmostaura is represented by a homopolar regular or amphitect bipyramid of which the cross axes show a sigmoid form.
		This implies that the bipyramid, which we will call a g y r o i d b i p y r a m i d, does not possess mirror planes parallel to the main axis.
		Construction of a regular six-fold gyroid bipyramid by means of adaptation of the equatorial plane of a regular six-fold bipyramid.
	home.hetnet.nl /~turing/sigmostaura.html (1257 words)

	Hexagonal Crystal System X
		Derivation of the trigonal tetartohedric Type II Trigonal Bipyramid by means of appying pyramidal hemihedric to the trigonal hemihedric Type II Hexagonal Bipyramid.
		From the ditrigonal bipyramid the trigonal tetartohedric type III trigonal bipyramid can be derived when we apply pyramidal hemihedric to it (which is equivalent to applying trigonal tetartohedric to the holohedric dihexagonal bipyramid).
		The face 2a : 2a : -a : c generates a type II trigonal bipyramid when subjected to the symmetry elements of the present Class : The face is tripled in virtue of the 3-fold rotation axis.
	home.hetnet.nl /~heackel/hexagonal_10.html (2179 words)

	VSEPR Trigonal bipyramid (Site not responding. Last check: )
		Trigonal bipyramid arrangement of 5 regions of high electron density.
		Three regions of high electron density (green) point at the corners of a trigonal plane while two other regions of electron density sit above and below the plane.
		A Trigonal bipyramid arrangement minimizes electron repulsion for molecules or ions with a total of 5 regions of high electron density.
	galileo.stmarys-ca.edu /jsigman/Chem07/VSEPR-TBP.htm (59 words)

	Trigonal BiPyramid Geometry
		The electron pair geometry is trigonal bipyramid and the molecular geometry is T-shape.
		Again the axial atoms are bent slight from the 180 degree angle.
		With two atoms attached and three lone pair, the electron pair geometry is trigonal bipyramid.
	www.elmhurst.edu /~chm/vchembook/222octahedral.html (274 words)

	Hexagonal Crystal System III
		Generation of the equatorial plane of the Hexagonal Tritopyramid (= Type III hexagonal bipyramid) from the equatorial plane of the Dihexagonal Bipyramid by alternately suppressing half of the sides (in virtue of the suppression of all the vertical mirror planes) and extending the survived sides till they meet.
		Generation of the Hexagonal Tritopyramid from the Dihexagonal Bipyramid, by applying pyramidal hemihedric to the latter.
		Construction of a Hexagonal Tritopyramid from the white faces of the Dihexagonal Bipyramid.
	metafysica.nl /hexagonal_3.html (1973 words)

	Hexagonal-bipyramid crystalline scandium oxide powder and a process for preparing the same - Patent 4980141
		The hexagonal bipyramid crystalline scandium oxide powder is suitable for making electron guns for cathode ray tubes.
		From this photograph it is recognized that the powder consists of hexagonal bipyramid crystals.
		1, and thus the powder consisted of hexagonal bipyramid crystals.
	www.freepatentsonline.com /4980141.html (1771 words)

	Outer Form of Crystals (Site not responding. Last check: )
		Of each bipyramid one of their faces is marked with a grade of gray.
		All other faces of the smaller bipyramid can be symbolized in the same way (because they are assumed to involve cut-off pieces (intercepts) of the same respective lengths as the (corresponding) ones of the unit face) except for their signs (+ or -).
		The effect of all this is that the axis that was perpendicular to that mirror plane has now become polar, implying that the crystal is differently developed at the two sides of that axis, in a geometrical as well as in a physical sense.
	www.metafysica.nl /crystal_classes.html (9812 words)

	VSEPR Method by G. Dupuis and N. Berland
		The molecules that belong to this first arrangement, are called "disphenoïd" molecules, like SF Experimentally we don't know stereoisomer for this molecule.
		A same study for the other possible trigonal bipyramidal shapes, shows that the lone pairs must preferably occupy the equatorial positions.
		In the trigonal bipyramidal arrangement the angle FOF is inferior to 120° in SOF
	www.faidherbe.org /site/cours/dupuis/vseprev.htm (1731 words)

	MOLECULAR ARCHITECTURE (Site not responding. Last check: )
		Nitrogen and phosphorus occasionally seem to show an oxidation number of 5 (e.g., the nitrate ion).
		The trigonal bipyramid can be used to show this.
		There are two sizes of this shape available.
	www.iit.edu /~smile/ch8620.html (367 words)

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