Re: Question about ColorFunction

*To*: mathgroup at smc.vnet.net*Subject*: [mg126610] Re: Question about ColorFunction*From*: JiHui Lou <ywdr1987 at gmail.com>*Date*: Thu, 24 May 2012 03:32:43 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <201205230729.DAA04974@smc.vnet.net> <CAEtRDSek1t-SUaz6uKPgEsZpJLWpLnOxEomcO-NiF_wVbW3EVw@mail.gmail.com>

Thx for replying. But when option ColorFunctionScaling->False is added in both, the plots are still different if u check them carefully... As you remind me, "With the usual default setting ColorFunctionScaling->True, all arguments supplied to func are scaled to lie in the range 0 to 1." is helpful and inspiring. As a result, I have tried Plot3D[Sin[x + y], {x, 0, 3}, {y, 0, 3}, ColorFunction -> (Hue[Sin[Pi (#1 + #2)]] &)] to get the same plot as Plot3D[Sin[x + y], {x, 0, 3}, {y, 0, 3}, ColorFunction -> (Hue[#3] &)] produce, but unfortunately they are still different. So would u be so kind to help me find a way to make the same plot as Plot3D[Sin[x + y], {x, 0, 3}, {y, 0, 3}, ColorFunction -> (Hue[#3] &)] without using ColorFunction form Hue[#3]& but with other form including #1 and #2 ? Thx a lot! *=C2=A5=BC=AA=BB=D4 *=BE=B4=C9=CF From Jee Lou *Jee Lou* *Student, Major: Physics, Zhejiang Normal University, Jinhua, P.R.China* On Wed, May 23, 2012 at 9:23 PM, Bob Hanlon <hanlonr357 at gmail.com> wrote: > "With the usual default setting ColorFunctionScaling->True, all > arguments supplied to func are scaled to lie in the range 0 to 1." > > In your first example, #1 and #2 are each scaled before being fed to > Sin[#1 + #2]] & so the argument of the Sin is in the interval {0, 2}. > In your second example, the argument of Hue[#3] & is in the interval > {0, 1}. The plots would be identical if you used ColorFunctionScaling > -> False in each. > > > Bob Hanlon > > > On Wed, May 23, 2012 at 3:29 AM, Jee Lou <ywdr1987 at gmail.com> wrote: > > Anyone explain to me how ColorFunction works? Why Plot3D[Sin[x + y], {x, > 0, 3}, {y, 0, 3}, ColorFunction -> (Hue[Sin[#1 + #2]] &)] and Plot3D[Sin[x > + y], {x, 0, 3}, {y, 0, 3}, ColorFunction -> (Hue[#3] &)] return different > color distributions? > > >

**References**:**Question about ColorFunction***From:*Jee Lou <ywdr1987@gmail.com>