How to plot as lines instead of dots

Is it possible to plot this:

n= 3;
f = UniformPoint(1000,n);
f = f./repmat(sqrt(sum(f.^2,2)),1,n);

PFcolor = [0.2 0.2 0.2]; 
varargin = {'Ok','MarkerSize',1.5 , 'Marker','^','MarkerFaceColor',PFcolor, 'MarkerEdgeColor', PFcolor}; 
plot3(f(:,1),f(:,2),f(:,3),varargin{:});

set(gca,'NextPlot','add','Box','on','Fontname','Times New Roman','FontSize',16);
set(gca,'XTickMode','auto','YTickMode','auto','ZTickMode','auto','View',[135 30]);

grid on
box on

function [W,N] = UniformPoint(N,M)
    H1 = 1;
    while nchoosek(H1+M,M-1) <= N
        H1 = H1 + 1;
    end
    W = nchoosek(1:H1+M-1,M-1) - repmat(0:M-2,nchoosek(H1+M-1,M-1),1) - 1;
    W = ([W,zeros(size(W,1),1)+H1]-[zeros(size(W,1),1),W])/H1;
    if H1 < M
        H2 = 0;
        while nchoosek(H1+M-1,M-1)+nchoosek(H2+M,M-1) <= N
            H2 = H2 + 1;
        end
        if H2 > 0
            W2 = nchoosek(1:H2+M-1,M-1) - repmat(0:M-2,nchoosek(H2+M-1,M-1),1) - 1;
            W2 = ([W2,zeros(size(W2,1),1)+H2]-[zeros(size(W2,1),1),W2])/H2;
            W  = [W;W2/2+1/(2*M)];
        end
    end
    W = max(W,1e-6);
    N = size(W,1);
end

to be like this (without black dots and red star):

Answer 1

[Luuk van Oosten]

Dear shdotcom,

Looks like you could use surf and mesh for that job. If you need it to plot it exactly as your example, keep in mind that your data ifrom the mesh function are the intersections of the wireframe grid lines.

Have fun!

[shdotcom shdotcom]

Dear Luuk van Oosten, thank you for your answer. If I want to use mesh or surf, may I know what are X, Y and Z in my case? The data is generated using the code in the question.