(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 11420, 314] NotebookOptionsPosition[ 11105, 299] NotebookOutlinePosition[ 11467, 315] CellTagsIndexPosition[ 11424, 312] WindowFrame->Normal ContainsDynamic->False*) (* Beginning of Notebook Content *) Notebook[{ Cell[BoxData[ RowBox[{"\[IndentingNewLine]", RowBox[{ RowBox[{"Do", " ", "[", RowBox[{ RowBox[{ RowBox[{"f", "[", "x", "]"}], "=", RowBox[{"Graphics3D", "[", RowBox[{ RowBox[{"{", RowBox[{"Blue", ",", "Gray", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "1"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "1"}], "]"}]}], ",", ".2"}], "}"}], ",", ".289"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "4", ",", "4"}], "}"}]}], "]"}], ",", "LightBlue", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "2"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "2"}], "]"}]}], ",", ".2"}], "}"}], ",", ".35"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "5", ",", "5"}], "}"}]}], "]"}], ",", "Blue", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "3"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "3"}], "]"}]}], ",", ".2"}], "}"}], ",", ".35"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "6", ",", "6"}], "}"}]}], "]"}], ",", "Gray", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "4"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "4"}], "]"}]}], ",", ".2"}], "}"}], ",", ".3"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "7", ",", "7"}], "}"}]}], "]"}], ",", "Brown", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "5"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "5"}], "]"}]}], ",", ".2"}], "}"}], ",", ".5"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "8", ",", "8"}], "}"}]}], "]"}], ",", "Orange", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "6"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "6"}], "]"}]}], ",", ".2"}], "}"}], ",", ".45"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "9", ",", "9"}], "}"}]}], "]"}], ",", "LightBlue", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "7"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "7"}], "]"}]}], ",", ".2"}], "}"}], ",", ".3"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "10", ",", "10"}], "}"}]}], "]"}], ",", "Blue", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "8"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "8"}], "]"}]}], ",", ".2"}], "}"}], ",", ".3"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "11", ",", "11"}], "}"}]}], "]"}], ",", "Gray", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "9"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "9"}], "]"}]}], ",", ".2"}], "}"}], ",", ".2"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "12", ",", "12"}], "}"}]}], "]"}], ",", "Yellow", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", RowBox[{"x", "/", "1"}], "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", RowBox[{"x", "/", "1"}], "]"}]}], ",", ".2"}], "}"}], ",", "2.5"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "0", ",", "0"}], "}"}]}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "5"}], ",", RowBox[{"-", "12"}], ",", RowBox[{"-", "1"}]}], "}"}], ",", ".1"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{"5", ",", RowBox[{"-", "12"}], ",", RowBox[{"-", "1"}]}], "}"}], ",", ".1"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "7"}], ",", "5", ",", "8"}], "}"}], ",", ".1"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{"7", ",", "15", ",", "5"}], "}"}], ",", ".14"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "15"}], ",", "8", ",", "8"}], "}"}], ",", ".1"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "6"}], ",", "13", ",", "0"}], "}"}], ",", ".15"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "7"}], ",", RowBox[{"-", "7"}], ",", "10"}], "}"}], ",", ".1"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "10"}], ",", "15", ",", "10"}], "}"}], ",", ".1"}], "]"}], ",", "White", ",", RowBox[{"Sphere", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", "8"}], ",", "15", ",", "6"}], "}"}], ",", ".1"}], "]"}], ",", "Gray", ",", RowBox[{"Table", "[", RowBox[{ RowBox[{"Line", "[", RowBox[{"Table", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"k", " ", RowBox[{"Cos", "[", "x", "]"}]}], ",", RowBox[{"k", " ", RowBox[{"Sin", "[", "x", "]"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{"x", ",", "0", ",", "9", ",", ".1"}], "}"}]}], "]"}], "]"}], ",", RowBox[{"{", RowBox[{"k", ",", "4", ",", "12"}], "}"}]}], "]"}]}], "}"}], ",", RowBox[{"Boxed", "\[Rule]", " ", "False"}], ",", "Gray", ",", RowBox[{"Background", "\[Rule]", " ", "Black"}]}], "]"}]}], ",", RowBox[{"{", RowBox[{"x", ",", "15", ",", "135", ",", "1"}], "}"}]}], "]"}], "\[IndentingNewLine]"}]}]], "Input", CellChangeTimes->{ 3.409429517206375*^9, {3.4094746104908857`*^9, 3.4094746231614723`*^9}, { 3.4094746758617287`*^9, 3.409474849526984*^9}, 3.40947503237957*^9, { 3.40949157690625*^9, 3.40949158209375*^9}, {3.40949180165625*^9, 3.409491855078125*^9}, {3.40949189853125*^9, 3.409491916484375*^9}, { 3.409491960390625*^9, 3.409491983265625*^9}, {3.409492143328125*^9, 3.40949217375*^9}, {3.409492325953125*^9, 3.409492327328125*^9}, { 3.409492364375*^9, 3.40949236915625*^9}, {3.409492427875*^9, 3.4094924288125*^9}, {3.40949279375*^9, 3.409492805515625*^9}, { 3.40949283565625*^9, 3.40949285653125*^9}, {3.409493040921875*^9, 3.40949304790625*^9}, 3.4094931216875*^9, 3.409499777646082*^9, 3.4098509688125*^9}], Cell[BoxData[ RowBox[{ RowBox[{"Export", "[", RowBox[{"\"\\"", ",", RowBox[{"{", RowBox[{"Table", "[", RowBox[{ RowBox[{"f", "[", "x", "]"}], ",", RowBox[{"{", RowBox[{"x", ",", "15", ",", "135", ",", "1"}], "}"}]}], "]"}], "}"}]}], "]"}], "\[IndentingNewLine]"}]], "Input", CellChangeTimes->{{3.40949290128125*^9, 3.409492967078125*^9}, { 3.409493194234375*^9, 3.409493219*^9}, {3.409499716250993*^9, 3.4094997376118717`*^9}}] }, WindowSize->{1272, 700}, WindowMargins->{{101, Automatic}, {Automatic, -2}}, Magnification->1., FrontEndVersion->"6.0 for Microsoft Windows (32-bit) (June 19, 2007)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[568, 21, 10027, 261, 232, "Input"], Cell[10598, 284, 503, 13, 52, "Input"] } ] *) (* End of internal cache information *)