## orientation of dual polyhedra to each other

Questions and problems about using polymake go here.
joachim_weinhold
Posts: 2
Joined: 24 Jun 2022, 13:11

### orientation of dual polyhedra to each other

Hi all,
as I am still a complete newbie to Polymake ( Level: feeling happy to find the „on/off-button“ ) I have a newbie-question on the orientation of polyhedra generated with Polymake. For sure something plain easy but difficult for me.
As I have the impression Polymake usually orientates the generated polyhedra basing on their own properties I am looking for the way to generate a polyhedron and its dual solid properly orientated to each other and together in one file (exported to .stl). In specific I am currently looking for the way to do this with the Johnson solid J90 outside and its dual solid inside (and as well the other way round) in order to refine two sculptures I am designing by using STL-files of these solids.

Kind regards & many thanks in advance
Joachim Weinhold

joswig
Main Author
Posts: 269
Joined: 24 Dec 2010, 11:10

### Re: orientation of dual polyhedra to each other

The compose command puts several visualized objects into the same coordinate system. Should work with all backends.

Code: Select all

$J = johnson_solid(90);$PJ = polarize($J); compose($J->VISUAL(FacetColor=>"red",VertexLabels=>"hidden"), \$PJ->VISUAL(FacetColor=>"blue",VertexLabels=>"hidden")); 

joachim_weinhold
Posts: 2
Joined: 24 Jun 2022, 13:11

### Re: orientation of dual polyhedra to each other

Many Thanks for Your Help ! As it seems to be, I need to add some rotations - which is no problem as I tried to do this successfully (although not necessarily elegant) with Blender. I will send a more detailed description with some images. Kind regards & again many thanks - Joachim Weinhold