Mesh plot of data over a parallelogram grid

I have a two-dimensional array of numerical values that I am able to create a mesh plot of over a rectangular grid. However, I need a mesh plot of this data over a parallelogram grid instead. The vectors I would like to use to generate this parallelogram are a1 = (1/2,sqrt(3)/2) and a2 = (1/2,-sqrt(3)/2). Is there a way to do this easily? Thank you!

Answer 1

[KSSV]

% Coordinates of parallelogram 
P0 = [0. 0.] ; P1 = [1. 0.5] ;
P2 = [0 1] ; P3 = [1. 1.5] ;

C = [P0 ;P1 ; P3 ; P2 ; P0] ;

figure
patch(C(:,1),C(:,2),'b')
M = 50 ;
t = linspace(0,1,M) ;
% generate grid 
L1 = [P0(1)+(P1(1)-P0(1))*t ; P0(2)+(P1(2)-P0(2))*t] ;
L2 = [P2(1)+(P3(1)-P2(1))*t ; P2(2)+(P3(2)-P2(2))*t] ;

% Mesh 
N = 20 ;
X = zeros(M,N) ;
Y = zeros(M,N)  ;
t = linspace(0,1,N) ;
for i = 1:M
    X(i,:) = L1(1,i)+(L2(1,i)-L1(1,i))*t ;
    Y(i,:) = L1(2,i)+(L2(2,i)-L1(2,i))*t ;
end
figure
hold on
plot(X,Y,'r')
plot(X',Y','r')

[rui Zeng]

Thank you KSSV, and by using this method we can extend further to connecting irregular shapes by adding more columns for L1 and L2.

Answer 2

[Nitin Phadkule]

%  just sharing if any one needed for 3d points
% filling parallogram between two position vectors, 
% can also an be used to plot and find area of vector addition triangle with
% ommision of x3, y3, z3
%  p1=[x1 y1 z1]
%  p2=[x2 y2 z2]
%  P1+p2=[x1+x2 y1+y2 z1+z2]
 
p1=[1 -2 3]

p1 = 1×3

1 -2 3

 p2=[2 2 0]

p2 = 1×3

2 2 0

 x3=p1(1)+p2(1)%x1+x2

x3 = 3

y3=p1(2)+p2(2)%y1+y2 

y3 = 0

z3=p1(3)+p2(3)%z1+z2

z3 = 3

patch( [0 p1(1) x3  p2(1)  ], [0 p1(2) y3 p2(2)  ], [0 p1(3) z3 p2(3)  ],[1 0 .1] ,'FaceAlpha',.5,'EdgeColor','none')