Small hexacronic icositetrahedron

Template:Short description Template:Uniform polyhedra db File:Small hexacronic icositetrahedron.stl In geometry, the small hexacronic icositetrahedron is the dual of the small cubicuboctahedron. It is visually identical to the small rhombihexacron. A part of each dart lies inside the solid, hence is invisible in solid models.

Proportions

Its faces are darts, having two angles of $\arccos (\frac{1}{4}+\frac{1}{2}\sqrt{2})\approx 16.84211623630^{\circ }$, one of $\arccos (\frac{1}{2}-\frac{1}{4}\sqrt{2})\approx 81.57894188185^{\circ }$ and one of $360^{\circ }-\arccos (-\frac{1}{4}-\frac{1}{8}\sqrt{2})\approx 244.73682564555^{\circ }$. Its dihedral angles equal $\arccos (\frac{-7-4\sqrt{2}}{17})\approx 138.11795905551^{\circ }$. The ratio between the lengths of the long edges and the short ones equals $2-\frac{1}{2}\sqrt{2}\approx 1.29289321881$.

References

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External links

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