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If anyone has a TI-nspire calculator (CAS or CX), Then I can show you how to make a flower in the graph part
Here are the steps
Turn on the calculator
Open a graphs page
Hit tab
Hit menu
Go to Graph Entry/Edit (for a CX it will be #3)
Select Polar (for a CX it will be #5)
Type in the blank n sin(a θ)
You can replace sin with cos
Boom you have a flower
Remember n and a are numbers you pick. n can be negative. θ is like the x in a rectangular graph, but can’t be replaced with x. θ can be found by pushing the pi button, and selecting the weird circle with a line through it (it’s a Greek letter).
Congratulations you just made a rose curve in your calculator! It is a polar curve graph that makes a flower! If you want another fun graph, you can look up the butterfly curve! Have a nice day!
Luigi Guido Grandi born on 1st October 1671 was an Italian monk, mathematician and engineer. He has done a lot of incredible things for math, one of them is studying the rose curve (sin wave plotted in polar coordinates), a curve which has the shape of a petaled flower. He named the rose curve rhodonea.
More incredible examples of rotations by nonrotation.