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  2. Pyramorphix - Wikipedia

    en.wikipedia.org/wiki/Pyramorphix

    Thus, the same methods used to solve the Rubik's Cube may be used to solve the Master Pyramorphix, with a few minor differences: the center pieces are sensitive to orientation because they have two colors, unlike the usual coloring scheme used for the Rubik's Cube, and the face centers are not sensitive to orientation (however when in the ...

  3. 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.

  4. Corner solution - Wikipedia

    en.wikipedia.org/wiki/Corner_solution

    This is a corner solution as the highest possible IC (IC 2) intersects the budget line at one of the intercepts (x-intercept). [1] In mathematics and economics, a corner solution is a special solution to an agent's maximization problem in which the quantity of one of the arguments in the maximized function is zero. In non-technical terms, a ...

  5. Crochet - Wikipedia

    en.wikipedia.org/wiki/Crochet

    Crochet hooks used for Tunisian crochet are elongated and have a stopper at the end of the handle, while double-ended crochet hooks have a hook on both ends of the handle. Tunisian crochet hooks are shaped without a fat thumb grip and thus can hold many loops on the hook at a time without stretching some to different heights than others (Solovan).

  6. Helix angle - Wikipedia

    en.wikipedia.org/wiki/Helix_angle

    Helix Angle [clarification needed]. In mechanical engineering, a helix angle is the angle between any helix and an axial line on its right, circular cylinder or cone. [1] ...

  7. Moving sofa problem - Wikipedia

    en.wikipedia.org/wiki/Moving_sofa_problem

    In mathematics, the moving sofa problem or sofa problem is a two-dimensional idealization of real-life furniture-moving problems and asks for the rigid two-dimensional shape of the largest area that can be maneuvered through an L-shaped planar region with legs of unit width. [1]

  8. Crossed ladders problem - Wikipedia

    en.wikipedia.org/wiki/Crossed_ladders_problem

    Crossed ladders of lengths a and b.h is half the harmonic mean of A and B; equivalently, the reciprocals of A and B sum to the reciprocal of h (the optic equation).Given a, b, and h, find w.

  9. Screw theory - Wikipedia

    en.wikipedia.org/wiki/Screw_theory

    A twist is a screw used to represent the velocity of a rigid body as an angular velocity around an axis and a linear velocity along this axis. All points in the body have the same component of the velocity along the axis, however the greater the distance from the axis the greater the velocity in the plane perpendicular to this axis.