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  2. T puzzle - Wikipedia

    en.wikipedia.org/wiki/T_puzzle

    The T-puzzle, a T shape can be assembled with the four pieces on the left. The T puzzle is a tiling puzzle consisting of four polygonal shapes which can be put together to form a capital T. The four pieces are usually one isosceles right triangle, two right trapezoids and an irregular shaped pentagon.

  3. Combination puzzle - Wikipedia

    en.wikipedia.org/wiki/Combination_puzzle

    A variation on the original Rubik's Cube where it can be turned in such a manner as to distort the cubical shape of the puzzle. The Square One consists of three layers. The upper and lower layers contain kite and triangular pieces. The middle layer contains two trapezoid pieces, which together may form an irregular hexagon or a square.

  4. Square-1 (puzzle) - Wikipedia

    en.wikipedia.org/wiki/Square-1_(puzzle)

    The shape is often restored first because it allows for the greatest range of possible moves at any one time – other shapes have fewer moves available. The majority of solutions provide a large set of algorithms. These are sequences of turns and twists that will rearrange a small number of pieces while leaving the rest of the puzzle untouched.

  5. Packing problems - Wikipedia

    en.wikipedia.org/wiki/Packing_problems

    Packing of irregular objects is a problem not lending itself well to closed form solutions; however, the applicability to practical environmental science is quite important. For example, irregularly shaped soil particles pack differently as the sizes and shapes vary, leading to important outcomes for plant species to adapt root formations and ...

  6. Pyramorphix - Wikipedia

    en.wikipedia.org/wiki/Pyramorphix

    Like the Pyramorphix, it is an edge-turning tetrahedral puzzle capable of changing shape as it is twisted, leading to a large variety of irregular shapes. Several different variants have been made, including flat-faced custom-built puzzles by puzzle fans and Uwe Mèffert 's commercially produced pillowed variant (pictured), sold through his ...

  7. Soma cube - Wikipedia

    en.wikipedia.org/wiki/Soma_cube

    Solving the Soma cube has been used as a task to measure individuals' performance and effort in a series of psychology experiments. In these experiments, test subjects are asked to solve a soma cube as many times as possible within a set period of time.

  8. Missing square puzzle - Wikipedia

    en.wikipedia.org/wiki/Missing_square_puzzle

    A true 13×5 triangle cannot be created from the given component parts. The four figures (the yellow, red, blue and green shapes) total 32 units of area. The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = ⁠ 13×5 / 2 ⁠ = 32.5 units.

  9. Optimal solutions for the Rubik's Cube - Wikipedia

    en.wikipedia.org/wiki/Optimal_solutions_for_the...

    And in 2014, Tomas Rokicki and Morley Davidson proved that the maximum number of quarter-turns needed to solve the cube is 26. [3] The face-turn and quarter-turn metrics differ in the nature of their antipodes. [3] An antipode is a scrambled cube that is maximally far from solved, one that requires the maximum number of moves to solve.