TOPICS
Search

Pentagonal Prism 6-Compound

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook
PentagonalPrism6-Compound

An attractive compound can be constructed of 6 pentagonal prisms having unit edge lengths, as illustrated above.

PentagonalPrism6-CompoundNet

A net for the solid is illustrated above, where

s_1=sqrt((13)/2-(29)/(2sqrt(5)))
(1)
s_2=1/(20)(5-sqrt(5))
(2)
s_3=1/4(3-sqrt(5))
(3)
s_4=sqrt(5)-2
(4)
s_5=1/(10)(5-sqrt(5))
(5)
s_6=1/5(3sqrt(5)-5)
(6)
s_7=1/2(3-sqrt(5)).
(7)

The compound has surface area

S=3(68-29sqrt(5)+sqrt(1025-458sqrt(5))).
(8)

See also

Pentagonal Prism

Explore with Wolfram|Alpha

References

Hart, G. "Uniform Compounds of Uniform Polyhedra." https://www.georgehart.com/virtual-polyhedra/uniform-compounds-index.html.

Referenced on Wolfram|Alpha

Pentagonal Prism 6-Compound

Cite this as:

Weisstein, Eric W. "Pentagonal Prism 6-Compound." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/PentagonalPrism6-Compound.html

Subject classifications