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Each polygon is \ncircumscribed about the previous \ circle, and each circle \npasses through the vertices of the previous \ polygon. The \nnumber of sides of the polygons comes from the list l, \nand \ the first circle has radius r.\"; "], "Input", InitializationCell->True, AspectRatioFixed->True], Cell[TextData[ "Inscribe::usage = \"CircumscribeAux[l, r] draws a \nlist of nested polygons \ and circles. Each polygon is \ninscribed in the previous circle, and each \ circle passes \nthrough the midpoints of the sides of the previous \npolygon. \ The number of sides of the polygons comes from \nthe list l, and the first \ circle has radius r.\"; "], "Input", InitializationCell->True, AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData["Function definitions"], "Subsection", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[ "Circumscribe[n_?NumberQ, r_] := Module[\n\t{a, vertices}, \n\ta = 2 N[Pi] / \ n;\n\tvertices = Table[ \n\t\tr Sec[a / 2] {Cos[i a], Sin[i a]}, \n\t\t{i, 0, \ n}\n\t];\n\t{\n\t\tRGBColor[0,0,1],\n\t\tLine[vertices], \n\t\t\ RGBColor[0,1,0],\n\t\tCircle[{0, 0}, r Sec[a / 2]]\n\t}\n]"], "Input", InitializationCell->True, AspectRatioFixed->True], Cell[TextData[ "Circumscribe[{n_?NumberQ}, r_] := {Circumscribe[n, r]} "], "Input", InitializationCell->True, AspectRatioFixed->True], Cell[TextData[ "Circumscribe[l_List, r_] := Module[\n\t{k, c}, \n\t{k, c} = \ Circumscribe[First @ l, r]; \n\tAppend[\n\t\t\tCircumscribe[Rest @ l, Last @ \ c], \n\t\t\t{k, c}\n\t]\n] "], "Input", InitializationCell->True, AspectRatioFixed->True], Cell[TextData[ "Inscribe[n_?NumberQ, r_] := Module[\n\t{a, vertices}, \n\ta = 2 N[Pi] / n;\n\ \tvertices = Table[\n\t\tr {Cos[i a], Sin[i a]}, \n\t\t{i, 0, n}\n\t];\n\t{\n\ \t\tRGBColor[1,0,0],\n\t\tLine[vertices], \n\t\tRGBColor[0,1,0],\n\t\t\ Circle[{0, 0}, r Cos[a / 2]]\n\t}\n]"], "Input", InitializationCell->True, AspectRatioFixed->True], Cell[TextData["Inscribe[{n_?NumberQ}, r_] := {Inscribe[n, r]} "], "Input", InitializationCell->True, AspectRatioFixed->True], Cell[TextData[ "Inscribe[l_List, r_] := Module[\n\t{k, c}, \n\t{k, c} = Inscribe[First @ l, \ r]; \n\tAppend[\n\t\t\tInscribe[Rest @ l, Last @ c], \n\t\t\t{k, c}\n\t]\n] \ "], "Input", InitializationCell->True, AspectRatioFixed->True]}, Open]]}, Open]]}, Open]] }, FrontEndVersion->"Macintosh 3.0", ScreenRectangle->{{0, 640}, {0, 460}}, WindowToolbars->{}, CellGrouping->Manual, WindowSize->{520, 365}, WindowMargins->{{52, Automatic}, {Automatic, 1}}, PrivateNotebookOptions->{"ColorPalette"->{RGBColor, -1}}, ShowCellLabel->True, ShowCellTags->False, RenderingOptions->{"ObjectDithering"->True, "RasterDithering"->False}, MacintoshSystemPageSetup->"\<\ AVU/IFiQKFD000000Tn0D09?RA0000000PBJL0901kP0AP1Y06`0I@1^0642Ch1@ 0Tn9<000000219Y@0T07^000000000000000009?P50000000000000000000000 00000000000000000000000000000000\>" ] (*********************************************************************** Cached data follows. 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