Benjamin Seibold - Projects

Visual Art

In collaboration with Yossi Farjoun, the two pieces of art were made that were part of the exhibition Everything Trembles by Jane Philbrick (MIT CAVS), that ran from September 6 through November 8, 2009 at the Skissernas Museum, Lund, Sweden. The work focuses on the Sculpture Flottante by Marta Pan. We created a video that shows its evolution under a mean curvature flow. In addition, the characteristic sounds of the evolving sculpture were modeled and computed.

Sculpture Flottante

by Marta Pan is located in the sculpture garden of the Kröller-Müller Museum in Otterlo, the Netherlands.

Photo of the Sculpture Flottante on water from further away
Closeup photo of the Sculpture Flottante
Triangulation of the Geometry

A replica of the sculpture was laser-scanned and a triangulation of the surface was created. This triangulation allows the visualization and the evolution of the sculpture, as well as the computation of its characteristic frequencies.

Triangulation of full geometry Zoom of triangulation of geometry Animation showing the triangulation of the geometry
The triangulation of the geometry The triangulation (zoomed) Animation of the triangulation (55 MB video)
Evolution of the Floating Sculpture

The sculpture evolves under mean curvature flow. At any time, the surface is colored according to the lowest three non-constant eigenmodes of the Laplace-Beltrami operator.

Snapshot of evolution, initial time Snapshot of evolution after 100 time units Snapshot of evolution after 400 time units Snapshot of evolution after 1700 time units Animation of the evolution under mean curvature flow
Initial configuration After 100 time units After 400 time units After 1700 time units Animation of the evolution (20 MB video)
Sound of the Evolving Sculpture

Using the 50 lowest eigenmodes of the Laplace-Beltrami operator of the surface, a characteric sound of the sculpture is generated. In its basic form, the base and the hood are each "plucked" right upon their separation, and the evolution of the vibrations that result from this plucking are computed.

Below you find one example sound file, and the final song of the sculpture. Note that unlike musical instruments, the sculpture's surface is by no means created to generate a pleasant sound. Or physically said: the overtones of the vibrational modes are far from having harmonic ratios.

  • The sound of the sculpture's hood: sound_hood.wav (3.7MB).
    When listening to the sound, note that you can hear a pinch-off (a topology change) that happens after 126 evolution frames in the video (and at 00:10 in the sound file).
  • The sculpture's song: sound_floating_song.aiff (30MB).
    This sound file was played every 15 minutes in one corner of the exhibition. It is a mix, composed of the characteristic sounds of the surface's connected components, when being "plucked" at various positions. The final mixing was done by Jane Philbrick (MIT CAVS).
Exhibition Materials
Logo of Everything Trembles Photo of exhibited description, first page Photo of exhibited description, second page Two visitors watching the video of the evolving sculpture at the exhibition

Related Publications

B. Seibold, Y. Farjoun The sound of an evolving floating sculpture, Indian J. Ind. Appl. Math., Vol. 4, No. 1, 2013, pp. 84-98.