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  2. Instant Insanity - Wikipedia

    en.wikipedia.org/wiki/Instant_Insanity

    Instant Insanity puzzle in the "solved" configuration. From top to bottom, the colors on the back of the cubes are white, green, blue, and red (left side), and blue, red, green, and white (right side) Nets of the Instant Insanity cubes – the line style is for identifying the cubes in the solution

  3. Radical of a Lie algebra - Wikipedia

    en.wikipedia.org/wiki/Radical_of_a_Lie_algebra

    In the mathematical field of Lie theory, the radical of a Lie algebra is the largest solvable ideal of . [1]. The radical, denoted by (), fits into the exact sequence / ().where / is semisimple.

  4. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    The amount of bending is approximately ⁠ 1 / 28 ⁠ unit (1.245364267°), which is difficult to see on the diagram of the puzzle, and was illustrated as a graphic. Note the grid point where the red and blue triangles in the lower image meet (5 squares to the right and two units up from the lower left corner of the combined figure), and ...

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  6. Mathematical puzzle - Wikipedia

    en.wikipedia.org/wiki/Mathematical_puzzle

    Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set ...

  7. Radical of an algebraic group - Wikipedia

    en.wikipedia.org/wiki/Radical_of_an_algebraic_group

    The radical of an algebraic group is the identity component of its maximal normal solvable subgroup.For example, the radical of the general linear group ⁡ (for a field K) is the subgroup consisting of scalar matrices, i.e. matrices () with = = and = for .

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  9. The monkey and the coconuts - Wikipedia

    en.wikipedia.org/wiki/The_monkey_and_the_coconuts

    n 5 n 4 n 3 4 4 0 s 4 s 3 s 2 4 4 4 1 But the same reasoning again applies to N' as applied to N, so the next digit of N' is 4, so s 2 and n 3 are also 4, etc. There are 5 divisions; the first four must leave an odd number base 5 in the pile for the next division, but the last division must leave an even number base 5 so the morning division ...

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