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MATHEMATICS OF THE CUBE
The center pieces of each face are always in the same relationship to each other.
Therefore, the number of ways the other pieces can be arranged in relation
to them (ie the possible arrangements of the cube) is:
Total possible arrangements = (possible arrangements of Corner Pieces) x (possible arrangements of Edge Pieces).
Possible Arrangements of Corner Pieces:
There are 8 Corner Pieces. Therefore, the possible different arrangements of them is 8! (ie 8x7x6x5x4x3x2x1) = 40320.
Each Corner Piece has three different orientations, so this must then be
multiplied by 3 to the power 8 (ie 3x3x3x3x3x3x3x3) which equals 6561.
However, with the actual cube, once the second from last Corner Piece is placed, the last piece can have only one automatic orientation so this should be divided by 3 (effectively 3 to the power 7) which equals 2187.
Thus, total possible arrangements of Corner Pieces = 40320 x 2187 = 88,179,840.
Possible Arrangements of Edge Pieces:
There are 12 Edge Pieces. Therefore, the possible different arrangements of them is 12! (ie: 12x11x10x9x8x7x6x5x4x3x2x1) = 479,001,600. However, with the actual Cube (and unlike Corner Pieces) it is impossible to exchange just two Edge Pieces, so once the third from last is placed, the remaining two can have only one possible arrangement, so this total must be divided by 2, which equals 239,500,800.
Each Edge Piece has two different orientations, so this must then be multiplied by 2 to the power 12 (ie 2x2x2x2x2x2x2x2x2x2x2x2) which equals 6561. However, with the actual cube, once the third from last Edge Piece is placed, although the last two pieces will be in fixed positions, one can be reoriented but the last will always have a fixed orientation in relation to it. So this must be divided by 2 (effectively 2 to the power 11) which equals 2048.
Thus, total possible arrangements of Edge Pieces = 239,500,800 x 2048 = 490,497,638,400.
So - Total Possible Arrangements of Rubik's Cube = (possible arrangements of Corner Pieces) x (possible arrangements of Edge Pieces) = 88,179,840 x 490,497,638,400 = 43,252,003,274,489,856,000.
Roughly speaking, 4.3 times 10 to the power 19.
in simple yes, because it uses several mathematical algorithms.
What else can I help you with?
Is the Solve The Rubiks Cube With 2 Moves fake?
this is a setup. He started with the cube solved, then repeated those two moves until it was "scrambled." Then used those two moves to unscramble it. if you repeat any sequence enough times it will return to its original state,
What math is used in forensics?
They use many complex equations and do a lot of problem solving.
Is there math in English?
It depends on which country are you living in. philippines
What is the word clue in math?
In math, a "clue" typically refers to a hint or piece of information that assists in solving a problem or puzzle. It can guide students towards the correct approach or method needed to find a solution. Clues are often used in math games, logic puzzles, or educational contexts to encourage critical thinking and problem-solving skills.
How is math used in crime scene investigation?
math is used in solving crime scenes...for example you use math to find the depth of a wound and find the type of the bullet and if the robber climbed on a ladder to go into your room from the window they measure the prints of the ladder....and alot more -zina-
What is so special about a 3D cube?
It has 6 sides and on the dice you can see that all the opposite sides equal 7. So this a good question but the 3D cube can be used in many ways such as jobs and math.
What is an open cube in math?
Well, sweetheart, an open cube in math is a three-dimensional figure with six faces, all of which are squares. The main difference between an open cube and a regular cube is that the open cube doesn't have its faces filled in - it's like a cube with holes. So, think of it as a cube that's been on a diet and lost some weight.
What is the original color configuration for each side of the Rubicks cube?
for the original (currently used by japan) color scheme of the rubiks cube: okay, first hold the cube so that yellow is on top (if it has yellow) with blue on the front. on the right should be orange, on the left red, on the bottom green, and on the back white. this color scheme is also currently used on the 2x2x2 rubiks brand cube. the difference between the current and original color scheme is that yellow and blue are switched, making red opposite orange, blue opposite white, and green opposite yellow. this is for the American color scheme if you want to know what is currently used now. if you are holding it as described above then on the bottom should be white(or possibly black) red is on the right, green is on the back, and orange is on the left. something to help is that red is opposite of orange, blue is opposite of green, white is opposite of yellow, and if you look at th corner that has red white and blue, then in clockwise order around the corner is Red, White, then Blue. hope that helped!!
What does pll skip mean with rubik's cube?
The term PLL is part of a method called "Fridrich" which is used for speed solving the rubik's cube. The method consists of 4 stages: -cross (making a cross in any side of the cube) -F2L (First 2 Layers) -OLL(Orientation of the Last Layer) -PLL (Permutation of the Last Layer) When you have a PLL skip it means that after you finish the OLL the cube is solved.
How is maths used in construction?
LOTS. The best carpenters are very good at trig and advanced geometry. All engineering uses lots of calculations to determine loads and stresses. Even simple framing means that you have to do math to know how long to cut a board.
What is the Michel Thomas Method?
The Michel Thomas method is a math method used for solving Geometry problems. This method is very useful if you have to do many geometry equations and formulas.
Why do we need calculators?
Calculators are used for solving calculations which are beyond normal reasoning
