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Trumpet Cluster
Joe Greiner

Trumpet Cluster

A Very Hollow Form

Cedar, 4 1/2" diameter, finished with gloss polyurethane, with 32 flared, trumpet-like, penetrations (hence the title).

This is a mathematical sculpture.

Twelve holes are at the vertexes of an icosahedron. Twenty more are at the vertexes of a concentric dodecahedron. The flared openings are mirrored on the inside of the ball. At each pair of these, the inside flares intersect in a ridge. Triplet interior ridges meet at a small three-sided pyramid. There are 60 such pyramids, with apexes substantially at the nodes of a Buckyball (Buckminsterfullerene, C60).

Within the group of 20 holes, there are 5 sets of 4, defining the vertexes of 5 tetrahedra. I selected one tetrahedron for aligning 4 spraying positions (2 coats each; total of 8). To avoid marking it for indexing, I inflated a small white balloon inside the piece, and marked 4 spots in 4 colors; with the piece sequentially perched on a tripod of needles for spraying. Then popped the balloon for removal.

There's currently a copy with satin finish at Guinevere's Gallery of Camelot Woodworking Studio (King Arthur's Tools) in Tallahassee.
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Joe Greiner
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Device
Canon Canon PowerShot A300
Aperture
ƒ/3.6
Focal length
5.0 mm
Exposure time
1/3 second(s)
Flash
Off, did not fire
Filename
Trumpet_Cluster1.JPG
File size
190.3 KB
Date taken
Tue, 12 February 2013 2:19 PM
Dimensions
1440px x 1920px

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