polar-coordinates

Suppose that (x(t),y(t)) has polar coordinates(√t,2πt). Plot (x(t),y(t)) for t∈[0,10]. There is no proper function in R to plot with polar coordinates. I tried normal plot by giving, x=√t & y=2πt. But resultant graph was not as expected. I got this question from "Introduction to Scientific Programming and Simulation using r"and the book is telling the plot should be spiral. Make a sequence: t <- seq(0,10, len=100) # the parametric index # Then convert ( sqrt(t), 2*pi*t ) to rectilinear coordinates x = sqrt(t)* cos(2*pi*t) y = sqrt(t)* sin(2*pi*t) png("plot1.png");plot(x,y);dev.off() That doesn

I'm trying to plot with ggplot2 the track of a bird around the antarctic. So far I have a map projected in polar coordinates, I also managed to plot the track points correctly and I almost link them correctly but ... As the track crosses the international date line (i.e. longitude 180°) ggplot2 is not able to correctly link the 2 points in either sides of the line. It does connect them but by going all the way around the earth. So I'm looking for a way to force ggplot to link the points by the shortest road across the 180°. Here is my code and the resulting graph. require(ggplot2) require

I am plotting a distribution of angles with the rose.diag function from the circular library. Input data are radiants. My MWE code is library(circular); dat<-read.csv(file.choose(),header=F); data=unlist(dat); rose.diag(data, bins=24) and I get this graph: I'm interested in showing only part of the data, from -pi/2 to pi/2, and that the length of the biggest tick equals the length of the radius of the circle as show here: Any help would be appreciated! EDIT As suggested by #lawyeR here is the code with a sample of the data: library(circular); data<- c(-0.188,-0.742,-0.953,-0.948,-0.953,-1.187,

I'm investigating the frequency responses of microphones. To help analyse them, I've written a program that will output: arrival angle, frequency(Hz), and response at a given angle and frequency (dB). I've written a gnuplot script that will graph all this data into a 3d graph: The code for the gnuplot is: set xlabel "Arrival Angle (degrees)" font "arial,8" set ylabel "Frequency (Hz)" font "arial,8" set zlabel "Gain (dB)" font "arial,8" set grid lc rgbcolor "#BBBBBB" set xrange[-180:180] set yrange[0:20000] set zrange[-60:0] unset key set view 30,56,0.98 splot 'freq.dat' u 1:2:3 with pm3d I

The following python code should plot r(theta) = theta on the range [-pi/2, pi/2]. import matplotlib.pyplot as plt import numpy theta = numpy.linspace(-numpy.pi / 2, numpy.pi / 2, 64 + 1) r = theta plt.polar(theta, r) plt.savefig('polar.png') This produces the plot: However, I would expect it to produce: The negative values of r(theta) seem to be clipped. How do I make it so that matplotlib plots the negative values of r(theta)? The first plot seems correct. It just doesn't show the negative values. This can be overcome by explicitely setting the limits of the r axes. import matplotlib.pyplot