[Maths-Education] Drawing Platonic Solids with 3D Logo

[Bob Ansell]

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