Trigonal Trapezohedron

Author

Eric W. Weisstein
April 22, 2022

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Polyhedra/TrigonalTrapezohedron.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/TrigonalTrapezohedron.html.

©2022 Wolfram Research, Inc. except for portions noted otherwise

Graphics

GraphicsRow[Table[Graphics3D[{Opacity[.8],Trapezohedron[3,d Degree]},Method->{"ShrinkWrap"->True},Boxed->False,ViewPoint->{1,2,.1}],{d,30,70,10}],Spacings->{100,Automatic}]

45 Degree//FunctionExpand

DihedralAngles[Trapezohedron[3,45 Degree]]//FullSimplify

30 Degree//FunctionExpand

DihedralAngles[Trapezohedron[3,30 Degree]]//FullSimplify

N[%]