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A trimagic square is a magic square that remains magic when all of its numbers are replaced by their cubes. Trimagic squares of orders 12, 32, 64, 81 and 128 have been discovered so far; the only known trimagic square of order 12, given below, was found in June 2002 by German mathematician Walter Trump .
To do this, remove the last three digits of the given cube (29791 → 29) and find the greatest cube it is greater than (this is where knowing the cubes of numbers 1-10 is needed). Here, 29 is greater than 1 cubed, greater than 2 cubed, greater than 3 cubed, but not greater than 4 cubed.
The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as
Singmaster was described as "one of the most enthusiastic and prolific promoters of the Cube". [21] In September 1981 he was said to be devoting "almost 100%" of his time to promoting, reporting, marketing and analysing the Cube. [22] He soon began publishing a quarterly newsletter called the Cubic Circular which was published between 1981 and ...
Numberphile has produced three YouTube videos related to sums of three cubes in which Andrew Booker is the featured guest: 42 is the new 33; The Mystery of 42 is Solved; 3 as a sum of 3 cubes; As of January 2023 these videos had accumulated a total of almost two million views. [15]
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Rotating the whole cube: The letters x, y and z are used to signify cube rotations. x signifies rotating the cube in the R direction. y signifies the rotation of the cube in the U direction. z signifies the rotation of the cube on the F direction. These cube rotations are often used in algorithms to make them smoother and faster.
A square whose side length is a triangular number can be partitioned into squares and half-squares whose areas add to cubes. From Gulley (2010).The n th coloured region shows n squares of dimension n by n (the rectangle is 1 evenly divided square), hence the area of the n th region is n times n × n.