Parabiaugmented Hexagonal Prism

👁 DOWNLOAD Mathematica Notebook
Download Wolfram Notebook

The parabiaugmented hexagonal prism is a convex equilateral solid that is Johnson solid 👁 J_(56)
.

The parabiaugmented hexagonal prism has volume

and Dehn invariant

where the first expression uses the basis of Conway et al. (1999). It can be dissected into the metabiaugmented hexagonal prism, from which it differs only by the relative positions of the two augmented square pyramids.

See also

Augmentation, Hexagonal Prism, Metabiaugmented Hexagonal Prism

Explore with Wolfram|Alpha

References

Conway, J. H.; Radin, C.; and Sadun, L. "On Angles Whose Squared Trigonometric Functions Are Rational." Discr. Computat. Geom. 22, 321-332, 1999.Johnson, N. W. "Convex Polyhedra with Regular Faces." Canad. J. Math. 18, 169-200, 1966.

Referenced on Wolfram|Alpha

Parabiaugmented Hexagonal Prism

Cite this as:

Weisstein, Eric W. "Parabiaugmented Hexagonal Prism." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ParabiaugmentedHexagonalPrism.html

Subject classifications