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. 2025 Feb 14;81(Pt 2):159–166. doi: 10.1107/S2053273325000889

Table 2. Characteristics of various honeycombs.

A is the total area of all honeycomb cell faces, ΔA/A is the relative difference between this area and that of the ‘best’ 6464 honeycomb, expressed as % of the hexagonal cell-base area, equal to 3√3/2 ≃ 2.6, assuming cell depth d = 1.5. The ΔS/S column gives the relative saving of wax, shown as the fraction of a slab of wax (of amount S) of thickness t/2 and area equal to the cell base. For ΔS/S calculation the face thickness t is assumed as 10% of the unit length of the hexagon edge. The dx and dy parameters of the bottom entry may adopt any numerical values within the ranges 0 ≤ dx ≤ 1/2, 0 ≤ dy ≤ dx√3/2.

dx dy Topology Symmetry A ΔA/A (%) S ΔS/S (%) Table 1 row
1/2 √3/2 444 p3m1 11.12132 0.50 0.53083 0.27 1
0 √3/2 6464 cmma 11.10843 0 0.53048 0 2 ‘best’
0 √3/2 6464 cmma 11.11237 0.15 0.53065 0.13 2 FT
1/4 √3/4 644 c2/m 11.22592 4.52 0.53564 3.97 3
0 0 6 p6/mmm 11.59808 18.85 0.55191 16.50 4
1/4 √3/2 6464 c2/m 11.11442 0.23 0.53070 0.17 5
0 √3/4 6464 c2/m 11.21222 3.99 0.53528 3.70 6
Any Any 6464 p 1         7