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Topic: Pentatope number

	Contents
		Tetrahedral numbers are pyramidal numbers and are the sum of consectuive triangular numbers.
		Pentatope is the name of a specific geometric figure that human beings cannot directly visualize because it does not exist as a 3-dimensional object.
		Pentatope Numbers (4-tetrahedron numbers) can be found in the fifth column of Pascal`s triangle, which are of course the sum of the tetrahedral numbers....
	milan.milanovic.org /math/english/contents.html (1827 words)

	Everything about Metre (Site not responding. Last check: 2007-11-04)
		All of the observable universe is also filled with large numbers of photons, the so-called cosmic background radiation, and quite likely a correspondingly large number of neutrinos.
		When the sequence of natural numbers are written out in English, one thousand is the first (smallest) to contain the letter 'a'.
		French (French: français) is the third of the Romance languages in terms of number of speakers, after Spanish and Portuguese, being spoken by about 67 million people as a mother tongue, and altogether by some 128 million people, which includes second-language speakers who use French for daily communication.
	geometra.descriptiva.es.wikimiki.org /en/metre (10613 words)

	[No title]
		%C A069759 The Frobenius number of a numerical semigroup generated by relatively prime integers a_1,...,a_n is the largest positive integer that is not a nonnegative linear combination of a_1,...,a_n.
		Since consecutive hex numbers are relatively prime, they generate a numerical semigroup with a Frobenius number.
		For a k-digit number there are k+1 spaces and 10^(k+1) candidates, so the chances that one of them is a multiple of n increases with k on the one hand although the probability decreases because n becomes large.
	www.research.att.com /~njas/sequences/eisBTfry00114.txt (6155 words)

	Gardner Index
		Fibonacci numbers, G2 8; G4 9; G6 1; G7 11,15; G9 10,13; G11 8
		Mersenne numbers, G6 9; G7 15; G8 12
		number sequence problems, G5 7; G7 13; G8 10; G10 18; G11 1
	www.ms.uky.edu /~lee/ma502/gardner5/gardner5.html (854 words)

	Platonic and Archimedean Polyhedra
		Polyhedra become "polytopes." The Pentatope and the Tesseract are relatively easy to understand, and illustrate with projections, as analogues of the Tetrahedron and the Cube.
		The famliar Pentagram is, strangely enough, a two dimensional (2-D) projection of the Pentatope.
		Since a Pentatope contains five Tetrahedra, it should be possible to find five distinct two dimensional projections of a Tetrahedron in the projection of the Pentatope.
	www.friesian.com /polyhedr.htm (633 words)

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