CS 497 Spherical Puzzle

Jeremy Quick
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
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
Base
Spherical base with 3 tracks carved at 90 degree intersections
 Allows for:
 2 different directions
 8 possible moves per
turn
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
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
V-Piece
Visible piece
 Has pattern on top
 Top and bottom piece is
carved from spheres with
different radii
Whole Piece
 V&I piece combined
 Cut into 3 equal squares
 6 default locations
 4 pieces per location
 24 total pieces
Final Result
 Non-jumbleable
 No set pieces
 Higher difficulty
 Combinations:
 24! ~ 6.2*10^23
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?
Questions?