This is a 3d biscuit function for a Gray code type square
- To: mathgroup at smc.vnet.net
- Subject: [mg49677] This is a 3d biscuit function for a Gray code type square
- From: "Roger L. Bagula" <rlbtftn at netscape.net>
- Date: Tue, 27 Jul 2004 07:01:09 -0400 (EDT)
- Reply-to: tftn at earthlink.net
- Sender: owner-wri-mathgroup at wolfram.com
The Gray code along with the Sierpinski sets is a self similar universal fractal pattern. You can get it from a Pascal's triangle as well. (*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info at wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 3049, 99]*) (*NotebookOutlinePosition[ 4106, 133]*) (* CellTagsIndexPosition[ 4062, 129]*) (*WindowFrame->Normal*) Notebook[{ Cell[TextData[ "Clear[f,g,h,f1,g1,h1]\nf[t_]=Cos[t]/Max[Cos[t], Cos[t+2 Pi/5],Cos[t+4 Pi/5], \ Cos[t+6 Pi/5] ,Cos[t+8 Pi/5] ];\ng[t_]=Cos[t+2 Pi/3]/Max[Cos[t], Cos[t+2 \ Pi/5],Cos[t+4 Pi/5], Cos[t+6 Pi/5] ,Cos[t+8 Pi/5] ];\nh[t_]=Cos[t+4 \ Pi/3]/Max[Cos[t], Cos[t+2 Pi/5],Cos[t+4 Pi/5], Cos[t+6 Pi/5] ,Cos[t+8 Pi/5] \ ];"], "Input", AspectRatioFixed->True], Cell[CellGroupData[{ Cell[TextData[StyleBox["ParametricPlot3D[{f[t],g[t],h[t]},{t,-Pi,Pi}]", AspectRatioFixed->True, FontFamily->"Hoefler Text"]], "Input", AspectRatioFixed->True], Cell[OutputFormData[ "\<\ The Unformatted text for this cell was not generated. Use options in the Actions Preferences dialog box to control when Unformatted text is generated.\ \>", "\<\ -Graphics3D-\ \>"], "Output", Evaluatable->False, AspectRatioFixed->True] }, Open ]], Cell[CellGroupData[{ Cell[TextData[StyleBox[ "ParametricPlot3D[{f[t],g[t],h[t]},{t,-Pi,Pi},ViewPoint->{2.057, 4.316, \ 7.625}]", AspectRatioFixed->True, FontFamily->"Hoefler Text"]], "Input", AspectRatioFixed->True], Cell[OutputFormData[ "\<\ The Unformatted text for this cell was not generated. Use options in the Actions Preferences dialog box to control when Unformatted text is generated.\ \>", "\<\ -Graphics3D-\ \>"], "Output", Evaluatable->False, AspectRatioFixed->True] }, Open ]] }, FrontEndVersion->"Macintosh 3.0", ScreenRectangle->{{0, 1920}, {0, 1060}}, WindowToolbars->{}, CellGrouping->Manual, WindowSize->{520, 740}, WindowMargins->{{244, Automatic}, {Automatic, 148}}, PrivateNotebookOptions->{"ColorPalette"->{RGBColor, -1}}, ShowCellLabel->True, ShowCellTags->False, RenderingOptions->{"ObjectDithering"->True, "RasterDithering"->False}, MacintoshSystemPageSetup->"\<\ 00/0001804P000000_@2@?olonh35@9B7`<5:@?l0040004/0B`000003509H04/ 02d5X5k/02H20@4101P00BL?00400@0000000000000000010000000000000000 0000000000000002000000@210D00000\>" ] (*********************************************************************** Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. ***********************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[1709, 49, 358, 6, 117, "Input"], Cell[CellGroupData[{ Cell[2092, 59, 164, 3, 26, "Input"], Cell[2259, 64, 267, 10, 24, "Output", Evaluatable->False] }, Open ]], Cell[CellGroupData[{ Cell[2563, 79, 200, 5, 40, "Input"], Cell[2766, 86, 267, 10, 24, "Output", Evaluatable->False] }, Open ]] } ] *) (*********************************************************************** End of Mathematica Notebook file. ***********************************************************************) Respectfully, Roger L. Bagula tftn at earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 : URL : http://home.earthlink.net/~tftn URL : http://victorian.fortunecity.com/carmelita/435/