SMI / FASE, May 22, 2012 SMI / FASE, May 22, 2012 Prototyping Prototyping Dissection Puzzles with Layered Manufacturing Carlo H. S Carlo H. S é é quin quin EECS Computer Science Division EECS Computer Science Division University of California, Berkeley University of California, Berkeley
SMI / FASE, May 22, 2012 Prototyping Prototyping Dissection Puzzles with Layered Manufacturing Carlo H. Séquin EECS Computer Science Division University.
Jan 18, 2016
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
SMI / FASE, May 22, 2012SMI / FASE, May 22, 2012
Prototyping Prototyping Dissection Puzzles
with Layered Manufacturing
Carlo H. SCarlo H. Sééquinquin
EECS Computer Science DivisionEECS Computer Science DivisionUniversity of California, BerkeleyUniversity of California, Berkeley
Dissection PuzzlesDissection Puzzles
A good educational component for UCB “CS 285”:
Graduate course: Solid Modeling and Rapid Prototyping
They train 3-D spatial thinking
“Hands-on” feedback on accuracy & tolerances
Fun artifacts to take home as souvenirs
Good “motivators”
Hamiltonian Dissections of Platonic SolidsHamiltonian Dissections of Platonic Solids
Higher-Genus Dissection PartsHigher-Genus Dissection Parts
A more intriguing dissection of a Platonic solid
Intriguing Dissection of a TetrahedronIntriguing Dissection of a Tetrahedron
Problem StatementProblem Statement
Design a two- or three-piece geometrical puzzle in which a shape splits into all congruent parts via a helical screw motion.
Teams of 3-4 students
Conceptual discussions in class
A first design + Individual feedback
Initial design to be fabricated on FDM machine
2nd, “final” design, hopefully yielding a working puzzle
ExecutionExecution
Simple Helicoidal DissectionsSimple Helicoidal Dissections
The basic “ramp” Cross section Tailored envelope
Based on linear, twisting sweeps
z
Simple Helicoidal DissectionsSimple Helicoidal Dissections
3-part CAD model Cross section Scaling function
A sweep producing a tear-drop shape
z
First FDM PartsFirst FDM Parts
Rapid Prototyping with FDMRapid Prototyping with FDM
A Look Into the FDM MachineA Look Into the FDM Machine
A sculpture-build in progress; note grey support!
2 NOZZLES
A Second Set of PartsA Second Set of PartsThere are still problems: The parts may not slide together completely!
Simple Helicoidal DissectionsSimple Helicoidal DissectionsA second approach – using a helical sweep path
2-part FDM model Sweep path Scaling function
Clean-up and Sanding the PartsClean-up and Sanding the Parts
More Helicoidal DissectionsMore Helicoidal Dissections
Bio-Hazard Symbol
Advanced Helicoidal DissectionsAdvanced Helicoidal Dissections
• This design started with the outer shape: a cube• then partitioned it in to 3 parts with helicoidal cuts
The Parts of the Cube DissectionThe Parts of the Cube Dissection
• Cannot be modeled with a sweep• Needs a CAD program with CSG operations
Helicoidal Dissection of TetrahedronHelicoidal Dissection of Tetrahedron
(done with SLIDE by C.H. S(done with SLIDE by C.H. Sééquin)quin)
Helicoidal axis
Helicoidal Dissections of Rhombic Helicoidal Dissections of Rhombic Dodecahedron Dodecahedron (George Hart)(George Hart)
Too loose !
Generalization: Multi-Prong DissectionsGeneralization: Multi-Prong Dissections
Design a straight configuration and then twist the whole thing
Two 3-Prong PartsTwo 3-Prong Parts
. . . and they fit together!. . . and they fit together!
Another VariantAnother Variant
Four prongs of different width unevenly spaced
. . . and they also fit together!. . . and they also fit together!
Multi-Prong, High-Genus PartsMulti-Prong, High-Genus Parts
PART IIPART II
Fabrication issuesFabrication issues
A New Problem Statement:
Realize a given puzzle geometry with a particular fabrication process.
Enlarging a Cubic Burr PuzzleEnlarging a Cubic Burr Puzzle
A neat puzzle …
If only it were larger !
Price increases with 3rd power of scale !!
Burr Puzzle: Unit ElementsBurr Puzzle: Unit Elements
Save building- and support-material:
Construct edge-frames of cubelets only
Shape all overhangs to minimize need of support
4545o
Details for Cubelet FrameDetails for Cubelet Frame
Replicated, abutting geometry
A First Little Test PieceA First Little Test Piece
Just two cubelets
One One Puzzle PartPuzzle Part
All 4 Puzzle PartsAll 4 Puzzle Parts
Burr Puzzle AssemblyBurr Puzzle Assembly
Puzzle Part as a SculpturePuzzle Part as a Sculpture
ConclusionsConclusions
Designing and fabricating dissection puzzleshas been a highly valuable experience . . .for the students – as well as for me!
It is also a rewarding activity:Students can take home artifacts that appeal toand are readily understandable by lay persons.
More . . .More . . .
SIGGRAPH 2011
More InspirationMore Inspiration
SIGGRAPH 2009
Interested in Burr Puzzles ?Interested in Burr Puzzles ?
Frederick DoeringFrederick Doering’’s 3x3x3 Burr Puzzles 3x3x3 Burr Puzzle
Burr Puzzle Theory and SoftwareBurr Puzzle Theory and Software
Helicoidal Tiling of 3D SpaceHelicoidal Tiling of 3D Space
Matthias Goerner 2007
What is this ?What is this ?
A Puzzle That Cannot Be Taken Apart A Puzzle That Cannot Be Taken Apart With Only Two HandsWith Only Two Hands
It needs a coordinated action of several (groups of) parts to be disassembled
SNOEYINK, J. and STOLFY, J. 1993. Objects that cannot be taken apart with two hands. SCG '93 San Diego, pp 247-256.
Related Documents
