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Table 2 Volumetric comparison of fillable polyhedra

From: Analysis of node deployment in wireless sensor networks in warehouse environment monitoring systems

Fillable polyhedra

The cube

Optimal six-prism

Truncated octahedron

Rhombohedral dodecahedron

Volume quotient (V. Q.)

\( \frac{2}{\sqrt{3}\pi}\approx 0.36755 \)

\( \frac{3}{2\pi}\approx 0.477 \)

\( \frac{24}{5\sqrt{5}\pi}\approx 0.68329 \)

\( \frac{3}{2\pi}\approx 0.477 \)