making points, rotating it, plotting.

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Rasmus
Rasmus 2014-2-25
评论: Rasmus 2014-2-26
p1=[0;0] p2=[sqrt(3/4);-1/2] p3=[sqrt(3/4);1/2] p4=[0;1]
make a vector r from point p1 to p2:
r=p2-p1
construct a new vector s by rotating r 90 degree counterclockwise.
Make a new point: t2=p1+1/2*r+-1/6*sqrt(3/4)*s
repeat this between every point(p2 and p3, p3 and p4, and p4 and p1). connect these points as P1 with the 4 new points, plot it, and rotate it 120 degre two times. You should then have your final figure.
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I try to follow the assignment pretty strictly, but for some reason i dont get the same figure as my book has.
Anyone who can help me solving it?
  3 个评论
Rasmus
Rasmus 2014-2-25
编辑:Rasmus 2014-2-25
>> theta=90*pi/180;
>> R=[cos(theta) -sin(theta);sin(theta) cos(theta)]
>> r1=p2-p1; >> s1=R*r1; >> t1=p1+1/2*r1+-1/6*sqrt(3/4)*s1;
>> r2=p3-p2; >> s2=R*r2; >> t2=p1+1/2*r2+-1/6*sqrt(3/4)*s2;
>> r3=p4-p3; >> s3=R*r3; >> t3=p1+1/2*r3+-1/6*sqrt(3/4)*s3;
>> r4=p4-p1; >> s4=R*r4; >> t4=p1+1/2*r4+-1/6*sqrt(3/4)*s4;
>> P1=[t1 t2 t3 t4];
>> x1=P1(1,:);
>> y1=P1(2,:);
>> P1=[t1 t2 t3 t4];
>> fill(x1,y1,'r')
the black part is what i am supposed to get just from this, and by rotating it two times with 120 degree, i should get the two other fields.
the last here is mine

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