Building Block: Truncated Octahedron

prusaprinters

A simple Construction brick.derived from this more general tool:– migrated from here http://www.thingiverse.com/thing:409443– https://www.printables.com/model/430627-customizable-crystallographic-building-blockMultiple of these bricks can be connected with short pieces of ~3mm diameter filament.Tip: If the bricks don't go well together the first time they are assembled a mini screw clamp can be helpful.This brick has 14 faces to it's nearest and second nearest neighbors.(six cube faces and eight octahedral faces)Background:This brick is the Wiegner-Seiz cell http://en.wikipedia.org/wiki/Wigner%E2%80%93Seitz_cellof the body-centered cubic crystal system http://en.wikipedia.org/wiki/Body-centered_cubicThe three main surface orientations (111) (110) (100) can be built without staircase effects.Notation: http://en.wikipedia.org/wiki/Miller_index(100) surfaces with squares up need a second layer to close the square holes.(110) surfaces with edges between hexagons up are easiest to build.(111) surfaces with hexagons up need two layers to be built and a third layer to close the hexagonal holes.This polyhedron is one that may lends itself well for the organisation of future atomically precise manufactured products. http://apm.bplaced.net/w/index.php?title=Microcomponent#super_microcomponent_structuresCategory: Construction Toys