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Re: New Level System (Feedback)
Posted: Mon Sep 22, 2008 9:35 pm
by Tommy137
euler wrote:rmillika wrote:... as there are only five Platonic solids...
Actually the team have been keeping quiet about this, but your question has forced a response. Although some time off yet we're working on a radical new proof surrounding the discovery of a sixth Platonic solid. Obviously we don't want to rush it, but we were planning to go public with it at the beginning of April next year.
If it doesn't work, you could always use analogs in higher dimensions as the
Pentachoron or the
Hexacosichoron. You'd just have to find a way to display them in a nice way
Re: New Level System (Feedback)
Posted: Wed Oct 01, 2008 1:19 am
by tklalmighty
How about going to other important somewhat symmetrical objects such as the Buckminsterfullerene?
Re: New Level System (Feedback)
Posted: Mon Oct 06, 2008 11:22 am
by uws8505
I think the sphere is the best idea.
Think of this: while the number of faces on Platonic solids increases, the solid itself is approaching a sphere.(at least I think...)
Re: New Level System (Feedback)
Posted: Mon Oct 06, 2008 2:16 pm
by jaap
uws8505 wrote:Think of this: while the number of faces on Platonic solids increases, the solid itself is approaching a sphere.(at least I think...)
Kind of. The icosahedron seems more rounded, but oddly enough:
wikipedia wrote:When a dodecahedron is inscribed in a sphere, it occupies more of the sphere's volume (66.49%) than an icosahedron inscribed in the same sphere (60.54%). (
wikipedia)
I've always been partial to the
Triacontahedron myself.
Still, a sphere is good.
Re: New Level System (Feedback)
Posted: Mon Oct 06, 2008 2:35 pm
by hk
As a triancontahedron seems to be a zonohedron the term "zonohedron" seems to me a nice and enigmatic enough epitheton for those that have solved 250+problems.
Re: New Level System (Feedback)
Posted: Sat Oct 11, 2008 12:32 pm
by DJohn
Although some time off yet we're working on a radical new proof surrounding the discovery of a sixth Platonic solid.
You're a few decades late. Arvo and Kirk demonstrated the existence of the teapotahedron in 1987:
http://design.osu.edu/carlson/history/i ... er.512.jpg
Re: New Level System (Feedback)
Posted: Sat Oct 11, 2008 4:45 pm
by euler
Excellent!
