"Quintessence" is a family of burr puzzles based on the geometry and combinatorics of the 120-cell, one of the 4-dimensional regular polytopes. This is joint work with Saul Schleimer.
Copies of the six "ribs" shown in the top left of the attached picture can be assembled into all of these structures, and more!
We have collected the ribs into three sets, Quintessence Meteor
, Quintessence Pulsar
and Quintessence Inflation
. With each set you can build several puzzles, and with all three you can build anything. Quintessence Manual
(describes which ribs are needed to build which puzzles).YouTube video