Least Common Triangle (LCT) of the Icosahedron. Seen from above looking straight down from the zenith of the cap of the Icosahedron with the cap vertice at the highest point.

12 Frequency BuckyBall LCT Skin Section.

LCT seen from outside with support truss added.

LCT one set of 3-way trusses highlighted.

LCT the other set of 3-way trusses highlighted.

LCT with the skin removed and both sets of 3-way trusses highlighted. Notice the LCT of the Icosahedron in purple.

The LCT of the Icosahedron highlighted.

Skin LCT with LCT of the Icosahedron in purple.

Skin LCT with more transparency. The LCT of the Icosahedron in purple is seen under the transparent skin. This view is from the horizontal equator of the sphere. The Icosahedron cap would start at the horizontal LCT beginning at the center of the pentagonal skin piece.

The LCT of the Icosahedron in purple is seen under the transparent skin. This view shows the set of the 3-way truss highlighted that is parallel to the edges of the skin panels.

The LCT of the Icosahedron in purple is seen under the transparent skin. This view shows the set of the 3-way truss highlighted that is perpendicular to the edges of the skin panels.

The LCT of the Icosahedron in purple is seen from inside the transparent skin. This view shows both sets of the truss highlighted from the inside.

The LCT of the Icosahedron in purple is seen from inside the transparent skin. This view shows both sets of the truss not highlighted.