Use matlab please

Problem 2

Use a function (polar rose or spiral or anything else reasonable) to create (x,y) points. Move it to a new location using a rotation followed by a translation. Plot it again. Extra credit: Plot multiple copies in a circle or a grid or some other pattern using a for loop.

Deliverables:

Script to create the function and do the plot

Function to create x,y values

Put x,y values into a 3xn matrix

Use a matrix to move the points

Picture with your original and moved points

EC: Plot with multiple copies. Must use a loop (dont do it by hand)

Step by Step Instructions:

Create x and y points using either a spiral or a polar rose

Polar rose: r(t) is cos( n/d *t ) I used n = 4, d = 3 in the plot below

Spiral: r(t) is sqrt(t) (see lecture script)

x(t) = r(t) * cos(t)

y(t) = r(t) * sin(t)

Plot and make sure you have either a spiral or a rose. Use axis equal to make sure the aspect ratio is correct

Note: You can do anything you want here just produce x and y points that make an interesting plot one that you can tell if you rotated it correctly or not

Turn your x and y vectors into a 3xn matrix where n is the length of x and y

pts = [x; y; ones( 1, length(x) ) ]

Copy your mTrans and mRot code from the previous problem

Multiply the matrics by the points

ptsNew = mTrans * mRot * pts

Plot the new points. Notice that ptsNew is also a 3xn matrix with ones in the 3^rd row ignore those