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CS 494 Spherical Combination Puzzle

Discover the intricacies of the groundbreaking 3D Spherical Combination Puzzle, inspired by Rubik’s Cube principles. This unique design features an icosahedron with 20 flexible, moveable pieces that provide three dimensions of movement, ensuring a smooth and natural solving experience. Crafted for durability, the puzzle fits comfortably in hand and avoids common breaking issues. With a complexity of 24! combinations and higher difficulty levels, can you master this challenging puzzle? Explore solving techniques, design details, and witness the evolution of 3D printed puzzles without the hassle of assembly.

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CS 494 Spherical Combination Puzzle

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  1. CS 494Spherical Combination Puzzle Jeremy Quick

  2. Previous Attempts • Magic Ball (Rubik’s Sphere) • Exact same as 3x3x3 Rubik’s Cube • Hard to grip • Impossiball • Icosahedron, 20 moveable pieces • Pieces flex • Hard to turn • Breaks • No known 3D printed puzzles

  3. Goals • Three directions of movement • Print as a whole • No assembly at all • Size vs. Strength • Fits in hand • Doesn’t break • Remove tracks • Solving feels natural? • No confusion on movements or design • All cracks wide enough to dissolve support • Tight enough for smooth movements

  4. Base Spherical base with 3 tracks carved at 90 degree intersections • Allows for: • 2 different directions • 8 possible moves per turn

  5. Tracks carved from spherical base to the puzzle pieces movement • Requirements: • Crack must be wide enough for a stable stem • Trench must be wide enough to hold pieces • Small enough for stable sections

  6. I-Piece Inside piece with stem • Top and bottom carved by spheres of varying radii • Inner radius equals half of the trench width minus air

  7. V-Piece Visible piece • Has pattern on top • Top and bottom piece is carved from spheres with different radii

  8. Whole Piece • V&I piece combined • Cut into 3 equal squares • 6 default locations • 4 pieces per location • 24 total pieces

  9. Final Result • Non-jumbleable • No set pieces • Higher difficulty • Combinations: • 24! ~ 6.2*10^23

  10. Unsolved Problems • Ability to feel when a piece has snapped in place • Raise radius of cracks slightly • Or, small prongs • Ex: Wheel of Fortune • Matching pattern • Stickers: • Solid color patches vs. gradient colors • 3D Design • Raised pattern that requires matching • Natural feeling?

  11. Questions?

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