MaplePrimes - answers and comments on Question, 3D Matrix in Maple

Array

pagan — Tue, 09 Feb 2010 18:26:15 Z

You can store a sequence of 2D Matrices in the entries of a 1D Vector or Array, as layers.

Or you can store data in a 3D Array. See the help page for Array.

Or you can store a collection of 1D Vectors or Arrays in the entries of a 2D Matrix

Each of those structures will have different (but similar) access syntax using [] to get at the entries for access or assignment. The middle choice would require just one pair of brackets, while the others would need two each.

Only the 3D Array choice, with a hardware datatype, would have thedata stored in a single contiguous section of memory (for most efficient access/update or Compiler use).

A 3 dimensional Array is called... an Array. It's just a question of terminology. A 2D Array (only) is sometimes called a Matrix (a mathematical rather than data structure term, to represent a mapping from one vector space to another).

All right thanx :-) I just

alex_01 — Tue, 09 Feb 2010 18:28:51 Z

All right thanx :-) I just find these 3D matricies to be fascinating

images.google.co.uk/images

Is it possible to view a 3D

alex_01 — Tue, 09 Feb 2010 19:14:45 Z

Is it possible to view a 3D Matrix (Array) in Maple as seen below ?

Good option for the matrix browse image tab

Christopher2222 — Wed, 10 Feb 2010 00:19:32 Z

That would be a cool implementation for browsing a matrix under the image tab. ie Visualizing data structures in a matrix array.

Viewing a 3d Matrix

Christopher2222 — Thu, 18 Mar 2010 14:19:56 Z

I've created a procedure that puts a random set of values into a cubic matrix (or array as they seem to be referred to when they exceed 2 dimensions) and displays them in a plot.

restart;
gc();

View3dMatrix:=proc(n,ri,rf)    #n is the number of elements, ri and rf are initial and final range of random numbers
local a,i,k,e,g,h,m;
a:=trunc(sqrt(n)+1):
for i from 1 to a do
    b||i:=[seq(rand(ri..rf)(i),i=1..n)]:
    c||i:=Matrix(a,a,b||i):
end do:
for k from 1 to a do
    d||k:=seq(seq([i,a+1-j,k,c||k[j,i]],i=1..a),j=1..a)
end do:
e:=plots[textplot3d]([seq(d||i,i=1..a)],axes=boxed,tickmarks=[0,0,0],color=green, font=[TIMES, ROMAN, 8]):
g:=plot3d([[x,y,0.95],[x,y,-a*0.10]],x=1..a,y=1..a,color=brown,style=surface,lightmodel=light2):
h:=plot3d([[x,1,z],[x,a,z]],x=1..a,z=0.95..-a*0.10,color=brown,style=surface):
m:=plot3d([[1,y,z],[a,y,z]],y=q..a,z=0.95..-a*0.10,color=brown,style=surface):
plots[display](e,g,h,m)
end proc:

View3dMatrix(50,1,100)

pretty neat :-) I wonder

alex_01 — Thu, 18 Mar 2010 23:38:44 Z

pretty neat :-) I wonder if we can use the new Maple fly though feature to look at the data in closeup ?!