Synchronizing the
Lehman and Fuller Sculptures
by Kirby Urner
First posted: June 24, 2000
Last modified: June 25, 2000


Twofrequency (2F) cube shown as duotet, with black and orange
2F tetrahedra. Cuboctahedron shown in yellow.


Pentagonal dodecahedron embraces the 2F cube. Six "tents" push
into the volumes of neighboring 2F cubes.


2F cube of volume 24 with internal cube of volume 3. Dual to
internal cube is red octahedron. Inscribed in the octahedron is an
Icosahedron (cyan). The eight icosa faces embedded in the octa
faces serve to base Lehman's spires, which have their tips at the
corners of the 2F cube.

Above: six neighboring 2F cubes with embracing pentagonal
dodecahedra define six "tents" protruding into the central 2F cube.
The tent "ridge poles" define the three sets of mutually parallel
golden rectangles characteristic of any regular icosahedron. In
this case, the icosahedron (cyan) is embedded in the concentric
hierarchy octahedron (volume 4). Eight of its faces provide bases
for the Lehman sculpture's tetrahedral spires to the corners of the
2F cube, their long edges defined by the intrusive tents.

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