LunchBox Truncated Octahedron

Hey there!

I have a question about Truncation with the LunchBox Plugin.

The Truncation for polyhedra can be set from 0-1 but I couldn't find an answer what the exact value for a truncated octahedron would be?

In this thread http://www.grasshopper3d.com/forum/topics/truncated-octahedron

Anders Holden Deleuran suggested a value of 0.691 but this doesn't seem to be right.

When I start to copy the solids bei 2pt Vector (see attached aggregation.png) I can still see little "gaps" between each solids which shouldn't be there because the truncated octahedron is a 100% space filling polyhedra.

When playing with the truncation slider I can see that the real value should be somewhere between 0.667-0.668, but I need the 100% exact value for my further progress.

(I want to deconstruct the octahedron in smaller parts, which can be used in an aggregation of 1000-2000 pieces with the Wasp Plugin).

I hope someone can answer this and thanks a lot in advance!

Attachments:

test_rhino.3dm, 44 KB
Test.gh, 9 KB
aggregation.PNG, 1.3 MB

Replies to This Discussion

Permalink Reply by Ethan Gross on November 10, 2017 at 12:59pm

Why not use the Polyhedron plugin for Rhino? You may be inspired.

http://www.food4rhino.com/app/rhinopolyhedra

Permalink Reply by Jan Keller on November 11, 2017 at 3:54am

Thank you for this suggestion. I will continue my work this way, as it seems to create exact polyhedra. Still it would be interesting to know how the "truncation" Operation actually works in the LunchBox functions.

I don't understand why it can be so hard to create an exact archimedean solid with the regular grasshopper tools.

Permalink Reply by Pieter Segeren on November 11, 2017 at 8:14am