72 Pencils

George W. Hart


72 Pencils is a geometric construction of 72 pencils, assembled into a work of art.  Restricted to a signed limited edition of twenty-five, each shares a common form, yet each is unique.  The form is an arrangement of four intersecting hexagonal tubes that penetrate each other in a fascinating three-dimensional lattice.  Each of the twenty-five sculptures in the edition is constructed with a different type of pencil, so each is a one-of-a-kind object.

For some viewers, part of the interest lies in the form of the interior.  The four hexagonal tubes are hollow, so the sculpture as a whole is hollow.  But, what shape is its cavity? What would someone on the inside see?  To the mathematician, the answer is "the rhombic dodecahedron," a geometric solid bounded by twelve rhombuses.

   
Above are two other views, showing how it looks along various axes of symmetry.