[Maths-Education] Drawing Platonic Solids with 3D Logo
Bob Ansell
maths-education@nottingham.ac.uk
Thu, 11 Apr 2002 13:29:16 +0100 (BST)
I am trying to draw Platonic solids with MSW Logo using the 3D command
set.
Earlier versions of Logo implemented VEER, PITCH and ROLL to
accommodate movement in 3D - I valued this boat/aircraft model.
MSW Logo implements FD, BK UP and DOWN and I find it much more difficult
to work with these.
I want to traverse the edges of a Platonic solid. A cube is no
problem but the other solids are proving a little more tricky.
The 'obvious' way of traversing the surface presents immediate
problems since the surface networks are not unicursal. Also, any
algorithm which worked for a 3D surface should allow us to tessellate a
2D plane.
My belief is that a better way forward is to base the turtle at the
centroid and then to map out a triangle which includes one edge and
return to the centroid each time.
Anyone with thoughts or an interest would be welcome.
Bob
--
Bob.Ansell@northampton.ac.uk
Tel 01604 735500 Ext 2074