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2. Prince Rupert's cube - Wikipedia

   en.wikipedia.org/wiki/Prince_Rupert's_cube

   A unit cube with a hole cut through it, large enough to allow Prince Rupert's cube to pass. In geometry, Prince Rupert's cube is the largest cube that can pass through a hole cut through a unit cube without splitting it into separate pieces. Its side length is approximately 1.06, 6% larger than the side length 1 of the unit cube through which ...

3. Conway puzzle - Wikipedia

   en.wikipedia.org/wiki/Conway_puzzle

   A possible placement for the three 1×1×3 blocks – the vertical block has corners touching corners of the two horizontal blocks The solution of the Conway puzzle is straightforward once one realizes, based on parity considerations, that the three 1 × 1 × 3 blocks need to be placed so that precisely one of them appears in each 5 × 5 × 1 slice of the cube. [2]

4. Numberlink - Wikipedia

   en.wikipedia.org/wiki/Numberlink

   In 1897, a slightly different form of the puzzle was printed in the Brooklyn Daily Eagle, in a column by Sam Loyd. [2] Another early, printed version of Number Link can be found in Henry Ernest Dudeney's book Amusements in mathematics (1917) as a puzzle for motorists (puzzle no. 252). [3]

5. God's algorithm - Wikipedia

   en.wikipedia.org/wiki/God's_algorithm

   A scrambled Rubik's Cube. An algorithm to determine the minimum number of moves to solve Rubik's Cube was published in 1997 by Richard Korf. [10] While it had been known since 1995 that 20 was a lower bound on the number of moves for the solution in the worst case, Tom Rokicki proved in 2010 that no configuration requires more than 20 moves. [11]

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7. Manipulative (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Manipulative_(mathematics...

   Cuisenaire rods in a staircase arrangement Interlocking "multilink" linking cubes A Polydron icosahedron. In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts ...