Write a code to generate the x and y values for a single butterfly using a for loop. The equations for a butterfly were discovered by Temple H. Feyl in 1989: f = ecoat - 2 cos(4t) - (sin () x = xo +s* f * sin t y = yo +s* f * cost Here t goes from 0 to 40pi (first try with step size of 1 and then change it to step size of 0.01), x0 and y0 are the location of the butterfly center, and s scales the height of the butterfly. Notice that these are algebraic equations, not differential equations. Also pay attention for element by element calculations in matrix operations. 1) Plot a magenta butterfly by considering s=0.1, x0=1, y0=1

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Write a code to generate the x and y values for a single butterfly using a for loop. The equations
for a butterfly were discovered by Temple H. Feyl in 1989:
5
f = ecoat - 2 cos(4t) - (sin
x = xo +s* f * sint
y = yo +s f* cost
Here t goes from 0 to 40pi (first try with step size of 1 and then change it to step size of 0.01), x0 and y0 are the location
of the butterfly center, and s scales the height of the butterfly. Notice that these are algebraic equations, not differential
equations. Also pay attention for element by element calculations in matrix operations.
1) Plot a magenta butterfly by considering s=0.1, x0=1, y0=1
Transcribed Image Text:Write a code to generate the x and y values for a single butterfly using a for loop. The equations for a butterfly were discovered by Temple H. Feyl in 1989: 5 f = ecoat - 2 cos(4t) - (sin x = xo +s* f * sint y = yo +s f* cost Here t goes from 0 to 40pi (first try with step size of 1 and then change it to step size of 0.01), x0 and y0 are the location of the butterfly center, and s scales the height of the butterfly. Notice that these are algebraic equations, not differential equations. Also pay attention for element by element calculations in matrix operations. 1) Plot a magenta butterfly by considering s=0.1, x0=1, y0=1
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