Plot only equilateral triangles

Plot random 10 triangles and plot only almost equilateral triangles. Check whether the three edges differ by less than a chosen small constant, for example e = 0.01. I have drawn the random triangles but I need to plot only equilateral triangles. So far, I get any random triangles including obtuse, acute and equilateral triangles.

3 个评论

Could you pl., show what you've created or written so far to solve your exercise?

figure, hold on

for i=1:10 Fill(rand(3,1), rand(3,1), rand(1,3))

End

Axis([0 1 0 1])

Axis square off

Here, I am able to plot 10 random triangles but I need to plot only triangles which are nearly equilateral

请先登录,再进行评论。

 采纳的回答

figure, hold on
e = 0.01;
i=0;
while i<= 10
x = rand(3,1);
y = rand(3,1);
c = rand(3,1);
L1 = sqrt((x(2)-x(1)).^2 + (y(2) - y(1)).^2);
L2 = sqrt((x(3)-x(1)).^2 + (y(3) - y(1)).^2);
L3 = sqrt((x(3)-x(2)).^2 + (y(3) - y(2)).^2);
L = sort([L1, L2, L3]);
if L(2)-L(1) < e && L(3) - L(2) <e && L(3)-L(1) < e
i = i + 1;
fill(x,y,c)
end
end
axis([0 1 0 1])
axis square off

更多回答(2 个)

Here's an alternative approach:
e = 0.01;
for i = 1:10
xc = rand(1); yc = rand(1);
r = rand(1);
while r < e/sqrt(3)
r = rand(1);
end
theta1 = 2*pi*rand(1);
theta = [theta1;
theta1 + 2*pi/3;
theta1 + 4*pi/3];
x = xc + r*cos(theta);
y = yc + r*sin(theta);
plot([x; x(1)],[y; y(1)])
hold on
end
axis equal off
figure, hold on
e = 0.0001;
i=0;
while i<= 10
x = rand(3,1);
y = rand(3,1);
c =rand(3,1);
L1 = sqrt((x(2)-x(1)).^2 + (y(2) - y(1)).^2);
L2 = sqrt((x(3)-x(1)).^2 + (y(3) - y(1)).^2);
L3 = sqrt((x(3)-x(2)).^2 + (y(3) - y(2)).^2);
L = sort([L1, L2, L3]);
if L(2)-L(1) < e || L(3) - L(2) <e
i = i + 1;
fill(rand(3,1), rand(3,1), rand(1,3))
end
end
axis([0 1 0 1])
axis square off

类别

帮助中心File Exchange 中查找有关 Descriptive Statistics 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by