
	Where results make sense

Topic: Heronian tetrahedron

Related Topics

Heronian tetrahedron

triakis tetrahedron

Reuleaux tetrahedron

Icosi tetrahedron

In the News (Sun 3 Jun 12)

EXECUTIVE POWER

Iran

ANALYSIS

Pakistan

Family compact

	Ivars Peterson's MathTrek - Perfect Pyramids
		The tetrahedron is the simplest of all polyhedra—solids bounded by polygons.
		However, a tetrahedron with four identical faces, where each of the three sides of a face has a different length, can be Heronian.
		For example, a tetrahedron with pairs of opposite edges of length 888, 875, and 533 has a volume of 37608480.
	www.maa.org /mathland/mathtrek_07_28_03.html (497 words)

	Heronian tetrahedron - Biocrawler (Site not responding. Last check: 2007-10-15)
		A Heronian tetrahedron is a tetrahedron whose sides, faces and volume are all rational numbers.
		The faces must therefore all be Heronian triangles.
		A regular tetrahedron with rational sides is not a Heronian tetrahedron because its face areas and volume are not rational numbers.
	www.biocrawler.com /encyclopedia/Heronian_tetrahedron (79 words)

	Heronian tetrahedron
		A Heronian tetrahedron is a tetrahedron whose faces are Heronian triangles.
		Therefore, the sides, areas and volumes of the tetrahedron are all rational numbers.
		A Heronian tetrahedron is not necessarily a regular tetrahedron.
	www.fact-index.com /h/he/heronian_tetrahedron.html (64 words)

	Heronian Tetrahedron -- from Wolfram MathWorld
		The integer Heronian tetrahedron having smallest maximum side length is the one with edge lengths 51, 52, 53, 80, 84, 117; faces (117, 80, 53), (117, 84, 51), (80, 84, 52), (53, 51, 52); face areas 1170, 1800, 1890, 2016; and volume 18144 (Buchholz 1992; Guy 1994, p.
		The integer Heronian tetrahedron with smallest possible surface area and volume has edges 25, 39, 56, 120, 153, and 160; areas 420, 1404, 1872, and 2688 (for a total surface area of 6384); and volume 8064 (Buchholz 1992, Peterson 2003).
		The smallest examples of integer Heronian tetrahedra composed of four identical copies of a single acute triangle (i.e., disphenoids) have pairs of opposite sides (148, 195, 203), (533, 875, 888), (1183, 1479, 1804), (2175, 2296, 2431), (1825, 2748, 2873), (2180, 2639, 3111), (1887, 5215, 5512), (6409, 6625, 8484), and (8619, 10136, 11275) (Guy 1994, p.
	mathworld.wolfram.com /HeronianTetrahedron.html (348 words)

	tetrahedron - OneLook Dictionary Search
		Tetrahedron : Online Plain Text English Dictionary [home, info]
		tetrahedron : Webster's Revised Unabridged, 1913 Edition [home, info]
		Phrases that include tetrahedron: reuleaux tetrahedron, fire tetrahedron, isosceles tetrahedron, monges tetrahedron th, sierpinski tetrahedron, more...
	www.onelook.com /?w=tetrahedron&ls=a (222 words)

	Search ScienceWorld
		A Heronian tetrahedron, also called a perfect tetrahedron, is a (not necessarily regular) tetrahedron whose sides, face areas, and volume are all rational numbers.
		It therefore is a tetrahedron all of whose faces are Heronian triangles and additionally that has rational volume.
		The expected volume of a tetrahedron with vertices chosen at random inside another tetrahedron of unit volume is given by(Sloane's A093525; Buchta and Reitzner 1992; Mannion 1994; Schneider 1997, p.
	scienceworld.wolfram.com /search/index.cgi?num=&q=Volume&start=10 (465 words)

	Heronian tetrahedron Information
		A Heronian tetrahedron is a tetrahedron whose sides, faces and volume are all rational numbers.
		The faces must therefore all be Heronian triangles.
		A regular tetrahedron with rational sides is not a Heronian tetrahedron because its face areas and volume are not rational numbers.
	www.bookrags.com /wiki/Heronian_tetrahedron (62 words)

	Kite World \| Tetrahedron Kite
		Using tetrahedron cells to construct a kite has a number of advantages.
		Circumnavigating a cube and a tetrahedron, Henry Bottomley.
		At another, Lisbeth and Vanessa are working intently on their tetrahedron kite, a three-tier design made of multicolored tissue paper and straws and held together with lots and lots of glue...
	www.kitew.com /tetrahedronkite (776 words)

	Tetrahedron - Information from Reference.com
		A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex.
		A regular tetrahedron is one in which the four triangles are regular, or "equilateral," and is one of the Platonic solids.
		A regular tetrahedron can be embedded inside a cube in two ways such that each vertex is a vertex of the cube, and each edge is a diagonal of one of the cube's faces.
	www.reference.com /search?q=Tetrahedron (1478 words)

	Regular Tetrahedron (Site not responding. Last check: 2007-10-15)
		Tetrahedron - A tetrahedron (plural: tetrahedra) is a polyhedron composed of four triangular faces, three of which meet at each vertex.
		Reuleaux tetrahedron - The Reuleaux tetrahedron is the intersection of four spheres of radius s centered at the vertices of a regular tetrahedron with side length s.
		Circumnavigating a Cube and a Tetrahedron - Circumnavigating a Cube and a Tetrahedron Discusses the shortest closed routes which cross or visit each face or edge on the surfaces of the five regular unit polyhedra.
	pillow.vvvvvv3.com /regulartetrahedron.html (366 words)

	What's special about this number? (5)
		The interior angle of a tetrahedron is 109° 28’.
		Soap bubbles can only join each other at one or two angles: 109 or 120 degrees.
		is the lowest value of the longest edge in a Heronian Tetrahedron.
	www.archimedes-lab.org /numbers/Num70_200.html (3805 words)

Try your search on: Qwika (all wikis)