A polar rose is a famous mathematical curve that looks like a petaled flower, and that can be expressed as a simple polar equation,
for any constant φ0 (including 0). If k is an integer, these equations will produce a k-petaled rose if k is odd, or a 2k-petaled rose if k is even. If k is rational but not an integer, a rose-like shape may form but with overlapping petals. Note that these equations never define a rose with 2, 6, 10, 14, etc. petals. The variable a represents the length of the petals of the rose.
Famous quotes containing the words rose and/or polar:
“When you realize how hard it is to know the truth about yourself, you understand that even the most exhaustive and well-meaning autobiography, determined to tell the truth, represents, at best, a guess. There have been times in my life when I felt incredibly happy. Life was full. I seemed productive. Then I thought,Am I really happy or am I merely masking a deep depression with frantic activity? If I dont know such basic things about myself, who does?”
—Phyllis Rose (b. 1942)
“Professor Fate: My apologies. Theres a polar bear in our car.”
—Arthur Ross. Professor Fate (Jack Lemmon)