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Volume 38, Number 3, May-June 2007
Page(s) 268 - 271
Published online 07 March 2007
Apidologie 38 (2007) 268-271
DOI: 10.1051/apido:2007005

The cell bases of honeybee combs

H. Randall Hepburna, T. Muerrlea and Sarah E. Radloffb

a  Department of Zoology and Entomology, Rhodes University, 6140 Grahamstown, South Africa
b  Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa

(Received 3 August 2006 - Revised 19 September 2006 - Accepted 12 October 2006 - Published online 7 March 2007)

Abstract - Pirk et al. [Naturwissenschaften 91, 350-353 (2004)] posited that beeswax is a thermoplastic medium that softens with increasing temperature and literally flows among an array of close-packed cylinders, which are actually the self-heated building bees and so hexagonal cells arise quite passively. But, it was further argued that the three apparent rhomboids of the cell base arise as optical artefacts. A re-examination of the cell bases of freshly drawn comb, old comb, and the silk residues of wax-extracted old combs prepared from a silicone-based moulding rubber preparation showed that three perfect rhomboids are seen to form the trihedral pyramid in the cell base (Fig. 1), those of old combs show hemispheres inside the cell bases (Fig. 2). Longitudinal sections of old combs clearly show the parabolic curvature of the inside of the cell base; but the edges of rhomboids are clearly visible on the outside of the cell base (Fig. 3). The silken cell "ghosts" exhibit rhomboids on the outside of the cells (Fig. 4) but a hemispherical base on the inside of the "ghost cell" (Fig. 3). Three rhomboids would be expected as a product of thermodynamic equilibrium in precisely the same way that soap bubbles form angular, not hemispherical, contact faces because the wax moves to a more probable state resulting in rhomboids, or a trihedral pyramid, which forms the cell base. Thus, the underlying geometry of the cell walls and bases are in keeping with mathematical laws on surface minima.

Key words: comb development / cells / silk / surface minima

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© INRA, DIB-AGIB, EDP Sciences 2007