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List of perfect cubes

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	Cube (arithmetic) - Wikipedia, the free encyclopedia
		With even cubes, there is considerable restriction, for only 00, o2, e4, o6 and e8 can be the last two digits of a perfect cube (where o stands for any odd digit and e for any even digit).
		The sum of the first n perfect cubes is the nth triangle number squared.
		For example, the sum of the first five perfect cubes, 1^3 + 2^3 + 3^3 + 4^3 + 5^3, is equal to sum of the 5th triangular number squared, namely 15^2 which is 225.
	en.wikipedia.org /wiki/Perfect_cube (627 words)

	Perfect magic cube - Wikipedia, the free encyclopedia
		In mathematics, a perfect magic cube is a magic cube in which not only the columns, rows, pillars and main space diagonals, but also the cross section diagonals sum up to the cube's magic constant.
		Perfect magic cubes of order one are trivial; cubes of orders two to four can be proven not to exist, and cubes of orders five and six were first discovered by Walter Trump and Christian Boyer on November 13 and September 1, 2003, respectively.
		By the modern definition, there are actually six classes of magic cube; simple magic cube, pantriagonal magic cube, diagonal magic cube, pantriagdiag magic cube, pandiagonal magic cube, and perfect magic cube.
	en.wikipedia.org /wiki/Perfect_magic_cube (470 words)

	Cube Visual Search: SWPA 2000
		While Enns and Rensink's cubes were pentagons with vertices that divided the figure into three equal areas that represented the top and two visible sides ("perfect cubes"), Riggins and Scharff used a cube that showed a square-shaped top and two smaller sides ("square cubes").
		Conversely, perfect cubes should be faster than square cubes on the left/right lighting conditions because the surface area of the sides is larger on the perfect cubes than on the square cubes.
		The prediction that perfect cubes should be faster than square cubes on the left/right lighting conditions was not supported by the current data.
	hubel.sfasu.edu /research/cubesearch.html (1526 words)

	Algorithms to find cube roots
		If a perfect cube has only three or four digits, it is not inconvenient to try to get its cube root by looking at cubes of integers smaller than 22 - the cube of 22 exceeds 10000.
		If the number is not a perfect cube, the method is still useful in that we can find two consecutive integers between which the cube root lies.
		The integer is 2 and its cube is 8.
	www.mathpath.org /Algor/cuberoot/algor.cube.root.htm (847 words)

	[No title]
		C: "Is your number a perfect cube?" A: "Yes" B: "Yes" possible perfect squares: 4,9,16,25,36,49,64,81,100 possible perfect cubes: 8,27,64 It has to be A>B>C A knows that B has got number 8 because it is the only perfect cube that is smaller than his own number (27).
		A knows that B's number is a perfect cube smaller than his own, and that C's number is a perfect square smaller than B's; the only possible choices are thus 8 and 4.
		B knows that A's number is a perfect cube, less than 50 but greater than his own number; the only one that fits is 27.
	www.mathpuzzle.com /altaymath.txt (1138 words)

	diff-sqrs
		is not a perfect cube since 8 is not divisible by 3.
		is not a perfect cube since 3 is not a perfect cube.
		Choose the appropriate formula (depending on whether the expression you are factoring is a sum or a difference.) Replace the letter A with its equivalent and the letter B with its equivalent.
	servercc.oakton.edu /~cshapero/120web/Ch4/diff-sqrs.htm (330 words)

	mat052
		64 is a perfect square since it's square root is 8.
		1/4 is a perfect square since it's square root is 1/2.
		is not a perfect square since 3 is not a perfect square.
	servercc.oakton.edu /~cshapero/online/chap5/diff-sq.htm (170 words)

	Intermediate Algebra Tutorial on Rationalizing Denominators and Numerators of Radical Expressions
		One example of an irrational number is when you have a root of an expression that is not a perfect root, for example, the square root of 7 or the cube root of 2.
		If the radical in the denominator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the denominator and so forth...
		If the radical in the numerator is a cube root, then you multiply by a cube root that will give you a perfect cube under the radical when multiplied by the numerator and so forth...
	www.wtamu.edu /academic/anns/mps/math/mathlab/int_algebra/int_alg_tut41_rationalize.htm (1870 words)

	Perfect Magic Cubes
		In a (simple) magic cube the sums of the numbers in the diagonals may differ from S. According to John Hendricks the expression 'perfect' should be reserved for magic cubes that are pandiagonal and pantriagonal.
		(In a non-normal cube the integers are not consecutive.)
		Until September 1st, 2003 a diagonal magic cube of order 6 was not known and most magic cube experts thought that such a cube would not be possible.
	www.trump.de /magic-squares/magic-cubes/cubes-1.html (1226 words)

	Perfect Magic Hypercubes
		A magic cube that has the additional feature that both main diagonals of all 3m planar squares sum to S. Because all rows and columns sum correctly as the original requirement for a magic cube, this means that all 3m orthogonal planes are simple magic squares.
		Perfect is now construed to mean that the cube is pandiagonal and pantriagonal, and all lower order magic objects (i.e.
		If you are wondering where the cube in the fourth direction (in the tesseract) is, it is formed by the center square planes in the 3 horizontal planes of cubes.
	members.shaw.ca /hdhcubes/cube_perfect.htm (5221 words)

	Ivars Peterson's MathTrek - Perfect Magic Cubes
		A magic cube is a three-dimensional array of whole numbers, in which each row, column, and body diagonal (corner to corner, through the center) adds up to the same total.
		A perfect magic cube is one in which the diagonals of each vertical or horizontal slice through the cube also sum to the same value.
		As expected, the cube's magic constant is 315, and its central value is 63.
	www.maa.org /mathland/mathtrek_01_05_04.html (401 words)

	Cube Representation - CubicAO
		To function as a perfect bounding body, the Cube must be dilated by the same magnitude as Earth.
		But we refer to it as a Cube, and not as a square prism, because when the Earth's rotation slows down to zero, the dilation also approaches zero...
		The result is a dilated Cube that surrounds some sort of body, gravitational or otherwise: for instance, in the case of Earth, the cube would intersect at the poles, and at four points on the equator.
	www.cubicao.tk /theory/cuberepresentation.html (823 words)

	net127 » Perfect Magic Cube of Order 5 Discovered
		These cubes were central symmetrical, meaning that all 13 lines of three numbers including the central number satisfied the identity x + y + 63 = 189, as well as a number of other partial magic characteristics.
		Even though perfect magic cubes of orders five and six are now known, there is still much that remains unknown about magic cubes.
		For example, a magic cube is called bimagic if it and the cube obtained by squaring each of its entries are both magic (although in this case, the squares cube is naturally no longer normal).
	www.net127.com /index.php?p=302 (516 words)

	Arnoux cube
		The second of Boyer’s cubes contains 48 simple magic squares and because all planar squares have diagonals that sum correctly, the tube is classed as ‘diagonal’ magic.
		He probably did not construct the actual cube, because he claimed the cube was associated (which it is not).
		This cube is repeated 27 times, using the consecutive numbers from 1 to 3375 to form the order 15 cube.
	members.shaw.ca /hdhcubes/cube_big.htm (2364 words)

	TimeSplitters: Future Perfect (cube: 2005): Reviews
		In TimeSplitters Future Perfect, victory is in the hands of the player's past, present, and future self in a battle that stretches throughout time where humanity is on the brink of destruction from the malevolent TimeSplitters.
		TimeSplitters Future Perfect promises to be one of the deepest arcade shooters on the console with hundreds of unlockables, more realistic environments, spectacular special effects, high quality animated cut scenes, an improved physics engine, smarter enemy AI, and much more.
		Future Perfect is packed with so many features that even the most jaded FPS fans will find something they like on offer; decimating everything or hosting a multiplayer kill-a-thon, this game can accommodate all comers.
	www.metacritic.com /games/platforms/cube/timesplittersfutureperfect (1809 words)

	Middle School Problems Archive (Site not responding. Last check: 2007-11-02)
		Try 22; 2 × 2 = 4, which is a perfect square but not a perfect cube.
		Try 44; 4 × 4 = 16, which is a perfect square but not a perfect cube.
		Try 66; 6 × 6 = 36, which is a perfect square but not a perfect cube.
	www.nctm.org /middle/asolutions.asp?ID=656 (199 words)

	Interior Design Furniture from The Cube
		The Cube Collection is a contemporary collection of upholstered furniture, perspex furniture, lamps, lights, doors and cupboard handles, curtains, fabrics, mirrors and interior design and decoration accessories.
		The Cube Collection furniture is all based on the perfect cube.
		The Cube has been based in London since 1995, emerging from a collection of upholstered cube inspired furniture to the inspiration of perspex in interiors to a constantly evolving collection of furniture and accessories, The Cube Collection.
	www.thecube.uk.com (168 words)

	Magic cube has perfect formula
		It once had the grimmest housing in Salford but the historic Greengate area is about to get some of the most radical new developments ever seen in the region.
		First off is a scheme of 256 one-room `cubes' which will be built on a derelict back street site and the first officially go on sale tomorrow.
		The scheme by Abito marks the start of a hugely ambitious plan to transform an area that is strictly in Salford but in reality is a short-step from the heart of Manchester.
	www.manchesteronline.co.uk /homesearch/latest/s/136/136350_magic_cube_has_perfect_formula.html (600 words)

	Proof of the long-division-like cube root algorithm
		Since two consecutive integers can not be both perfect cubes, 91126 can not be a perfect cube.
		Therefore, the value of x which is the cube-root of the given number is obtained up to k decimal digits by dividing the number obtained in the division process by 10
		And when N is an integer that is a perfect cube, B
	www.mathpath.org /Algor/cuberoot/algor.cube.root.why.htm (625 words)

	Perfect cube: glass cube, amery, wis., 1974 ralph rapson, faia - end quote - Brief Article Residential Architect - Find ...
		Perfect cube: glass cube, amery, wis., 1974 ralph rapson, faia - end quote - Brief Article
		Ralph Rapson's Glass Cube vacation home near Amery, Wis., may not be for everyone, but it suits him and his family just fine.
		The Minneapolis-based architect and his wife bought the Cube's pristine, 40-acre site during Rapson's 30-year tenure as head of the University of Minnesota's School of Architecture and Landscape Architecture.
	www.findarticles.com /p/articles/mi_m0NTE/is_8_7/ai_108790934 (335 words)

	Grande Arche - Wikipedia, the free encyclopedia
		After Spreckelsen's death in 1987, his associate, French architect Paul Andreu, completed the work in 1989/90.
		The Arche is almost a perfect cube (width: 108m, height: 110m, depth: 112m; it has been suggested that the structure looks like a four dimensional hypercube projected onto the three dimensional world).
		It has a pre-stressed concrete frame covered with glass and Carrara marble from Italy and was built by the French civil engineering company Bouygues.
	en.wikipedia.org /wiki/Grande_Arche (424 words)

	Algebra Tutorials: Sum of Cubes
		Whenever you have two perfect cube terms being added (summed), you have a sum of cubes.
		For example, 8 is a perfect cube because it can be broken down into three identical terms: 222.
		is not a perfect cube because the cube root of 9b
	www.bagatrix.com /tutorials/sum_of_cubes.htm (280 words)

	Crystal DNA Cube
		An optically perfect crystal cube with a 3-dimensional DNA molecule etched into the center.
		This sculpture is a 3D model laser-etched into an optically perfect crystal.
		This has many uses, perfect as a gift, great for classroom demonstrations, even better to just enjoy this work of art.
	www.thednastore.com /dnastuff/crystalcube.html (544 words)

	Time Cube
		It is evil for Coryoth to edit Time Cube.
		Cube is the most perfect form of opposites.
		Cube has 6 sides - or no top and bottom.
	www.timecube.com (1443 words)

	Middle School Problems Archive (Site not responding. Last check: 2007-11-02)
		The number 1 is both a square and a cube of itself, and 64 is 8
		One approach is to consider the perfect cubes: 1, 8, 27, 64, and so on.
		After 1, the number 64 is the first cube that is also a perfect square.
	www.nctm.org /middle/asolutions.asp?ID=119 (88 words)

	The Ice Cube (Site not responding. Last check: 2007-11-02)
		Once the unit is set up and operational, a customer simply inserts their money into the vending equipment and selects “bag” or “cooler”.
		The Ice Cube puts bagged ice into a polyethylene bag, heat sealed and dropped down a chute for the customer to retrieve.
		Cooler or bulk ice is weighed and dispensed down a chute where the customer places their supplied container (cooler).
	www.the-ice-cube.com (141 words)

	Aquarium Set-up: Nano Cube: The Perfect Aquarium for Starters
		A new favorite in this class is the Nano Cube, a compact twelve gallon aquarium with robust lighting and built-in filtration.
		Rounded corners offer a seamless panoramic view from all angles, and since it is constructed of clear-view glass, not acrylic, it is resistant to scratching or clouding over time.
		Better yet, the Nano Cube features multi-stage filtration and a full-spectrum lighting system strong enough for advanced hobbyists to make this small wonder their first choice for nano reef systems.
	www.liveaquaria.com /general/general.cfm?general_pagesid=302&ref=3277&subref=AC (279 words)

	Cardboard Cube (Site not responding. Last check: 2007-11-02)
		In this project we were to construct a perfect cube out of cardboard using only had tools such as a matte knife, ruler and triangle.
		Certain faces of the cube had their inner filling removed so to allow a smooth seem at the corner of the cube.
		These factors summed up to create a cube that was not quite perfect.
	www.cs.cmu.edu /afs/cs.cmu.edu/Web/People/rapidproto/students.00/mpm/Portfolio/cube.htm (178 words)

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