• Thumbnail for Doubling the cube
    Doubling the cube, also known as the Delian problem, is an ancient: 9  geometric problem. Given the edge of a cube, the problem requires the construction...
    16 KB (2,067 words) - 07:40, 7 November 2024
  • one-hundred percent Doubling the cube (i. e., hypothetical geometric construction of a cube with twice the volume of a given cube) Doubling time, the length of...
    2 KB (378 words) - 20:35, 6 June 2024
  • Thumbnail for Mathematics of paper folding
    Aligning the two points on the two lines is another neusis construction as in the solution to doubling the cube. The problem of rigid origami, treating the folds...
    37 KB (4,080 words) - 06:49, 11 November 2024
  • Thumbnail for Cube root
    and in the problem of finding the edge of a cube whose volume is twice that of a cube with a given edge (doubling the cube). In 1837 Pierre Wantzel proved...
    13 KB (1,968 words) - 14:37, 22 October 2024
  • Thumbnail for Unit cube
    the square root of n and the (Euclidean) length of the vector (1,1,1,....1,1) in n-dimensional space. Doubling the cube k-cell Robbins constant, the average...
    2 KB (251 words) - 19:39, 3 October 2024
  • Thumbnail for Backgammon
    Backgammon (redirect from Doubling cube)
    offered the cube, doubling the value of the game again, while retaining possession of the cube. A variant of the doubling cube "beaver" is the "raccoon"...
    83 KB (10,454 words) - 04:37, 18 November 2024
  • Thumbnail for Straightedge and compass construction
    Straightedge and compass construction (category Pages using sidebar with the child parameter)
    trisecting an arbitrary angle or of doubling the volume of a cube, based on the impossibility of constructing cube roots of lengths. He also showed that...
    36 KB (4,804 words) - 21:08, 14 November 2024
  • discussed in the Mathematical Collection of Pappus of Alexandria and known for having possibly developed an approximate method for doubling the cube. Although...
    7 KB (705 words) - 11:57, 29 October 2024
  • Thumbnail for Cube
    have the Rupert property. A geometric problem of doubling the cube—alternatively known as the Delian problem—requires the construction of a cube with...
    38 KB (4,054 words) - 03:37, 5 November 2024
  • Thumbnail for Cube (algebra)
    arithmetic and algebra, the cube of a number n is its third power, that is, the result of multiplying three instances of n together. The cube of a number or any...
    24 KB (3,006 words) - 05:25, 7 September 2024
  • Menaechmus (category Philosophers and tutors of Alexander the Great)
    the conic sections and his solution to the problem of doubling the cube. Menaechmus likely discovered the conic sections, that is, the ellipse, the parabola...
    9 KB (1,171 words) - 12:04, 27 October 2024
  • Thumbnail for Archytas
    Archytas (category Wikipedia articles incorporating the template Lives of the Eminent Philosophers)
    authentic. According to Eutocius, Archytas was the first to solve the problem of doubling the cube (the so-called Delian problem) with an ingenious geometric...
    15 KB (1,497 words) - 20:53, 22 October 2024
  • associated with the geometric curve called the Cissoid of Diocles, which was used by Diocles to solve the problem of doubling the cube. The curve was alluded...
    3 KB (434 words) - 09:53, 28 August 2024
  • Thumbnail for Rubik's Cube
    The Rubik's Cube is a 3D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the Magic...
    92 KB (10,315 words) - 20:25, 20 November 2024
  • Thumbnail for Cubic equation
    that they did. The problem of doubling the cube involves the simplest and oldest studied cubic equation, and one for which the ancient Egyptians did not believe...
    68 KB (10,291 words) - 16:44, 23 October 2024
  • money play, the doubling cube is used. At the start of each game, the doubling cube is placed on the bar with the number 64 showing; the cube is then said...
    15 KB (2,434 words) - 21:44, 9 October 2024
  • Thumbnail for Constructible number
    problems: Doubling the cube The problem of doubling the unit square is solved by the construction of another square on the diagonal of the first one,...
    33 KB (4,921 words) - 23:11, 22 August 2024
  • Thumbnail for Galois theory
    antiquity cannot be solved as they were stated (doubling the cube and trisecting the angle), and characterizing the regular polygons that are constructible (this...
    32 KB (4,194 words) - 23:26, 25 October 2024
  • Thumbnail for The Ancient Tradition of Geometric Problems
    only the straightedge and compass constructions favored by the Greek mathematicians: squaring the circle, doubling the cube, and trisecting the angle...
    7 KB (823 words) - 19:46, 7 November 2024
  • Duplication, or doubling, multiplication by 2 Duplication matrix, a linear transformation dealing with half-vectorization Doubling the cube, a problem in...
    4 KB (504 words) - 06:11, 5 January 2024
  • Philo line (category Pages using the JsonConfig extension)
    devices, who lived probably during the 1st or 2nd century BC. Philo used the line to double the cube; because doubling the cube cannot be done by a straightedge...
    12 KB (2,700 words) - 13:02, 28 December 2023
  • Thumbnail for Euclid
    Euclid (category Wikipedia articles incorporating a citation from the 1911 Encyclopaedia Britannica with Wikisource reference)
    as the mathematician to whom Plato sent those asking how to double the cube. Perhaps on the basis of this mention of a mathematical Euclid roughly a century...
    44 KB (4,333 words) - 05:31, 1 October 2024
  • Thumbnail for Euclidean geometry
    doubling the cube and squaring the circle. In the case of doubling the cube, the impossibility of the construction originates from the fact that the compass...
    58 KB (7,005 words) - 20:53, 7 November 2024
  • Thumbnail for Squaring the circle
    approximate the problem accurately in few steps. Two other classical problems of antiquity, famed for their impossibility, were doubling the cube and trisecting...
    45 KB (4,925 words) - 23:56, 15 November 2024
  • mathematics, Philo tackled the problem of doubling the cube. The doubling of the cube was necessitated by the following problem: given a catapult, construct...
    10 KB (1,091 words) - 15:56, 29 June 2024
  • Thumbnail for Pseudomathematics
    drawing a square having the same area. Doubling the cube: Given any cube drawing a cube with twice its volume. Trisecting the angle: Given any angle dividing...
    11 KB (1,131 words) - 21:52, 4 October 2024
  • Mario Kart: Double Dash is a 2003 kart racing video game developed and published by Nintendo for the GameCube. It is the fourth main entry in the Mario Kart...
    34 KB (3,148 words) - 20:30, 22 November 2024
  • Thumbnail for Greek mathematics
    The greatest mathematician associated with the group, however, may have been Archytas (c. 435-360 BC), who solved the problem of doubling the cube, identified...
    35 KB (3,668 words) - 18:04, 3 November 2024
  • Thumbnail for Definable real number
    The positive square root of 2 is constructible. However, the cube root of 2 is not constructible; this is related to the impossibility of doubling the...
    11 KB (1,502 words) - 02:55, 9 April 2024
  • Pythagoras, Archimedes and Euclid; and the problems of squaring the circle and doubling the cube. The mathematics is real mathematics, woven into an historical...
    3 KB (188 words) - 11:33, 9 February 2024