Stellar Holiday Sculpture
Type Abstract Sculpture
Panels 8 × Geomag triangle panel icon.gif
21 × Geomag square panel icon.gif
Rods 126 × Geomag rod icon.gif
Spheres 44 × Geomag ball icon.gif
Author PolyClare 3:14, 23 December 2007 (PST)

Stellar Holiday Sculpture, based on a small rhombicuboctahedron augmented with pyramids of varying heights on its faces. This sculpture was construced using pieces from Geomag Premium "Desire" sets.

Building Instructions

First, a rhombicuboctahedron is constructed using Rose Pink bars and matching panels (48 bars and 24 balls, 18 squares and 8 triangles). An attached base of 4 stacked square antiprisms in Pale Pink is built, with reinforcing Pale Pink square panels attached to each antiprism square (36 bars, 12 balls, 3 squares).

Upon each remaining square on the rhombicuboctahedron, a square-based pyramid is erected -- without a ball at the apex (it won't fit). For squares not adjacent to any triangle (5), I used a height of 4 bars, except for the top pyramid which used 5 bars (total of 4×4×4 + 4×5 = 84 bars). For squares adjacent to a triangle (12), I used a height of 2 bars (total of 12×4×2 = 96 bars).

For amusement I decided to add small pink pyramids (tetrahedra) to each triangle (8), this time with balls, because I could (8×3 = 24 bars, 8 balls).

WARNING: The tiny base for this sculpture makes it HIGHLY UNSTABLE and very easy to tip over. I haven't done that (yet), but figure it'll happen before long!


  • Rose Pink Rhombicuboctahedron: 48 bars and 24 balls, 18 squares and 8 triangles
  • Pale Pink Stacked Square Antiprisms: 36 bars, 12 balls, 3 squares
  • Pale Pink Star Points: 24 bars, 8 balls
  • Purple Star Points: 18 Bars (=84+96)

Other views

Another view is provided of the Stellar Holiday Sculpture, topped by the object that inspred its creation, and surrounded by other festive ornaments. The small inspirational stellar object has points on the squares of a rhombicuboctahedron -- I added the pink points to my sculpture, just because I could, and it seemed fun.

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