Can someone suggest the best way to plot a directional 2D equilateral triangle?

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Steve 2021-4-14

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编辑： Steve 2021-4-14

I'm trying to write some simple code that will plot a 2D equilateral triangle, with the triangle center specified at a distance from an existing equilateral triangle, which is pointing at it? Any help offered would be greatly appreciated.

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Answer 1

DGM 2021-4-14

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This is incomplete, but it should be a start.

r=10; % triangle radius
p0=[0 0]; % prior point [x,y]
p=[50 50]; % current point [x,y]
% offset angle based on distance vector
% this may already be known from prior triangle orientation
th=atan2d(p(2)-p0(2),p(1)-p0(1))+180; 
% calculate vertex locations
xv=r*cosd(th+[0 120 240 0]) + p(1);
yv=r*sind(th+[0 120 240 0]) + p(2);
% plot this triangle
plot(xv,yv)
xlim([0 100])
ylim([0 100])
axis equal

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Answer 2

Steve 2021-4-14

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编辑：Steve 2021-4-14

Thank you DGM. Can this code be modified to generate a connected series of equilateral triangles? I am ultimately looking to have many triangles (generated at specific centerpoint locations), where their vertices are all pointing at neighboring triangles' vertices (as depictred below). Thanks again for your help!

Example of equilateral triangle arrangement

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Dottet lines for directional reference only

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DGM 2021-4-14

I suppose it could. Mind you, it would be using plot tools to do so. If your goal is to generate a raster image directly, the drawing part might get a bit more complicated.

Steve 2021-4-14

编辑：Steve 2021-4-14

Raster images are definitely not needed; the triangle your code generates is actually perfect. I just provided the sketches to show sample triangle arrangements.

Also, ideally, if all the triangle center locations are given, I would like to be able to assign a single, initial triangle on one of the centers, with the orientation specified (always toward another triangle's center). Then, I would like to code to generate the rest of the oriented triangles from there on. Would this be possible with a modified version of your code? Attached is another sketch to show the idea. Thanks again!