> On 19-Apr-06 Peter Ehlers wrote: >> This discussion of 3-d pie charts comes at an opportune time. I have >> just formulated a new theory of graphical information transfer which >> is particularly simple in the case of 3-d pie charts. >> >> Let theta denote the angle between the normal to the pie cylinder and >> the pie-eyed line (connecting eye and centre of pie). Then the >> information transmitted from pie to viewer is >> >> K * (pi/2 - theta)^3 >> >> for theta in [0, pi/2]. The normalizing constant may be written in >> the obvious manner as >> >> K = 8 * I_0 / pi^3. >> >> I conjecture that I_0 is not large, but I'm still waiting to hear >> from Microsoft regarding my application for funding to allow me to >> conduct extensive testing. > > I think I can confirm your conjecture. With theta = 0, you have in > effect a 2-D pie, and then, according to my calculations, if you take > > I_0 = 3.14159265358979... > > the information you get is 1 pie. > > Ted.
Unless you cut it into quarters, in which case you have that rare situation where pie by two equals pie by four!!!!... ... sorry .... Stuart This message has been checked for viruses but the contents of an attachment may still contain software viruses, which could damage your computer system: you are advised to perform your own checks. Email communications with the University of Nottingham may be monitored as permitted by UK legislation. ______________________________________________ [email protected] mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html
