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 |