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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 polyhedraThe cubeOptimal six-prismTruncated octahedronRhombohedral dodecahedron
Volume quotient (V. Q.)\( \frac{2}{\sqrt{3}\pi}\approx 0.36755 \)\( \frac{3}{2\pi}\approx 0.477 \)\( \frac{24}{5\sqrt{5}\pi}\approx 0.68329 \)\( \frac{3}{2\pi}\approx 0.477 \)