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. -------------------------------------------------------------------- E-Mail: (Ted Harding) <[EMAIL PROTECTED]> Fax-to-email: +44 (0)870 094 0861 Date: 20-Apr-06 Time: 09:10:01 ------------------------------ XFMail ------------------------------ ______________________________________________ R-help@stat.math.ethz.ch mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html