Saad Hafidh wrote:
> Dear Bob
> Thank you very much.
>
> Kindly have a look at this n-dimension cube projection and tell what is the
> difference between its projection and yours.
>
> http://www.teleport.com/~aloo/java/ndim/index.html?/~aloo/java/ndim/main.html
I have communicated Jonathan Bowen and have a link in
http://cosy.com/cosylogo.htm which unfortunately seems stale .
His algorithm is very clever , but less general than the Euler minimal paths
I found an algorithm for .

> I am assuming that you don't even have the APL listing in a file, am I
> right?

I think maybe you are failing to appreciate just how efficient APL
notation is . The entire algorithms , for both the cube and the simplex are
included inline in the paper in http://cosy.com/cosylogo.htm , and in the
appendix at its end .

The functions to generate the vertices of n-cubes , the Gray-code
Hamiltonian paths , and the connectivity matrices are each 1 line .
The iterative function to construct the Euler path is 9 , max .

If you are involved in this sort of math , or indeed any finite computational
math , I think this should arouse an interest in understanding this
notation . It`s what makes Ken Iverson , the father of APL one of the
important figures of the century .

Generally , functions in APL are not of much use in a stand alone file .
APL , like Lisp , Forth , and Smalltalk operates in an interactive
environment . One word can pass its results along to another providing
the combinatoric flexibility of language to experiment with the concepts .

Thus , I`d recommend again that you simply download CoSy and experiment
with the functions directly . I think you will come to appreciate why the
few sentences of APL are more general and powerful than the pages of
other languages they would expand into .

> Regards
> Saad

Thanks again for your interest . I hope this helps .

--
--- BobArmstrong -- http://CoSy.com -- 212-285-1864 ---
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