Looking forward to see the pictures! --Amafirlian 11:26, 19 October 2007 (UTC)
That was quick! Nice use of colours! --Amafirlian 11:28, 19 October 2007 (UTC)
Ok, I really must change my handle to MrMoniker - my real name seems so pedestrian when stacked up against PolyClare and Amafirlian.
Clare, this is a wonderful model, thanks for posting. I suggest the name drilled truncated icosidodecahedron in the spirit of Stewart's name. (would you like me to rename the page - that needs admin privileges)
You've also hit another interesting height coincidence, I wonder if it's exact?
The height of the cupola plus the height of the antiprism add up to the distance between the decagonal face and the pentagonal face in the nested solids!
Rafael Millan built a similar model here: http://textodigital.com/P/GG/bp1220rt.php which he called a reinforced rhombitruncated icosidodecahedron, and there he noted the height coincidence when an icosidodecahedron is stacked on top of a rhombicosidodecahedron.
Time to get calculator out to verify these distances....
--Karl Horton 13:40, 20 October 2007 (UTC)
Sure, call it the drilled truncated icosidodecahedron -- makes sense. G'head and rename the page, I'd appreciate that.
I'm still pondering about how these nested polyhedra manage to connect up so neatly with those cupola/antiprism combos. Thank you for the link to Rafael Millan's work.
--PolyClare 08:20, 25 October 2007 (UTC)
Apologies to Rafael - he already spotted the same height coincidence: he explicitly calls it out lower down the page referenced above. My value-add should be to do the calculations maybe they will give some intuition.
--Karl Horton 23:54, 27 October 2007 (UTC)