drawing with Mathematica

*To*: mathgroup at smc.vnet.net*Subject*: [mg74179] drawing with Mathematica*From*: "dimitris" <dimmechan at yahoo.com>*Date*: Tue, 13 Mar 2007 05:10:08 -0500 (EST)

Hello. Until now for papers drawing, I use two specialized drawing programs. For a forthcoming publication (alnong with my Supervisor Professor) I want to use my knowledge in Mathematica (...which I think I have gained!...) than hanging around with two programs I must admit I am not very fond of! So below are two draws. The first shows the cleavage stress on a (mathematical) crack. The second (attempts to) show a (so called) cusp-like (mathematical) crack. I would like any comments regarding anything you think can be useful! (Further, ) I know that this subject has been completely covered (and actually one of my very first queries was in the same vein), but as regards the procedure of Copy/Paste to a Word File which procedure offers the least (if possibly!) declination in the quality of these graphs? Lastly, I wanted to draw a bounded region as that encountered in any elementary text in Vector Analysis (for example in the proof of the Green-Gauss Theorem). I can draw circles, ellipses and the stuff but I really need a (smooth!) bounded region which shape is not so "canonical" as circle or ellipse. FIRST DRAW << "Graphics`Arrow`" lin1 = Graphics[{Thickness[0.007], AbsoluteDashing[{4, 6}], Line[{{0, 0}, {4.5, 0}}]}]; lin2 = Graphics[{Thickness[0.007], AbsoluteDashing[{4, 6}], Line[{{0, 0}, {0, 3}}]}]; ar1 = Graphics[{Arrow[{4.5, 0.0095}, {4.5 + 1/8, 0.0095}]}]; ar2 = Graphics[{Arrow[{-0.01, 3}, {-0.01, 3 + 1/8}]}]; tex1 = Graphics[Text[StyleForm["0", FontSize -> 16, FontWeight -> "Bold", FontFamily -> "Times"], {0, -3/8}]]; tex2 = Graphics[Text[StyleForm["x", FontSize -> 16, FontWeight -> "Bold", FontFamily -> "Times"], {4.5 + 1/8, -3^(-1)}]]; tex3 = Graphics[Text[StyleForm["cleavage\n stress", FontSize -> 16, FontWeight -> "Bold", FontFamily -> "Times"], {3.2, 2.4}]]; cr1 = Graphics[{Thickness[0.009], Line[{{-0, 0.05}, {-3, 0.05}}]}]; cr2 = Graphics[{Thickness[0.009], Line[{{-0, -0.05}, {-3, -0.05}}]}]; lin3 =Graphics[{Thickness[0.009], Line[{{0, -0.05}, {0, 0.05}}]}]; ar3 = Graphics[{Thickness[0.0055], Arrow[{2.7, 2.35}, {1.95, 1.9}, HeadLength -> 0.035]}]; Block[{$DisplayFunction=Identity},g = Plot[5*x*Exp[-x] + x/5, {x, 0.01, 4}, Axes -> False, PlotStyle -> Thickness[0.01]]]; Show[{g, lin1, lin2, lin3, tex1, tex2, tex3, cr1, cr2, ar1, ar3}, PlotRange -> {-1, 2.7}, AspectRatio -> 1/GoldenRatio, ImageSize -> 400]; SECOND DRAW Clear["Global`*"] lin1 = Graphics[{Thickness[0.007], AbsoluteDashing[{4, 6}], Line[{{0, 0}, {3.5, 0}}]}]; lin2 = Graphics[{Thickness[0.007], AbsoluteDashing[{4, 6}], Line[{{0, 0}, {0, 2.6}}]}]; ar1 = Graphics[{Arrow[{3.5, 0.0095}, {3.5 + 1/8, 0.0095}]}]; ar2 = Graphics[{Arrow[{-0.005, 2.6}, {-0.005, 2.6 + 1/8}]}]; tex1 = Graphics[Text[StyleForm["0", FontSize -> 16, FontWeight -> "Bold", FontFamily -> "Times"], {0, -3/8}]]; tex2 = Graphics[Text[StyleForm["x", FontSize -> 16, FontWeight -> "Bold", FontFamily -> "Times"], {3.5 + 1/8, -3^(-1)}]]; tex3 = Graphics[Text[StyleForm["y", FontSize -> 16, FontWeight -> "Bold", FontFamily -> "Times"], {-3^(-1), 2.55}]]; cr1 = Graphics[{Thickness[0.009], Line[{{0, 0.07}, {-0.13, 0.07}}]}]; cr2 = Graphics[{Thickness[0.009], Line[{{0, -0.07}, {-0.13, -0.07}}]}]; lin3 = Graphics[{Thickness[0.009], Line[{{0, -0.07}, {0, 0.07}}]}]; Block[{$DisplayFunction = Identity}, Plot[x^(3/2), {x, 0.18, 1.}, Axes -> False, PlotStyle -> Thickness[0.009]]]; g1 = % /. {(x_)?NumberQ, (y_)?NumberQ} :> {-x, y}; g2 = %% /. {(x_)?NumberQ, (y_)?NumberQ} :> {-x, -y}; Block[{$DisplayFunction = Identity}, Plot[x^(1/2), {x, 1, 2}, Axes -> False, PlotStyle -> Thickness[0.009]]]; g3 = % /. {(x_)?NumberQ, (y_)?NumberQ} :> {-x, y}; g4 = %% /. {(x_)?NumberQ, (y_)?NumberQ} :> {-x, -y}; Block[{$DisplayFunction = Identity}, Plot[x^(1/3) - (2^(1/3) - Sqrt[2]), {x, 2, 3}, Axes -> False, PlotStyle -> Thickness[0.009]]]; g5 = % /. {(x_)?NumberQ, (y_)?NumberQ} :> {-x, y}; g6 = %% /. {(x_)?NumberQ, (y_)?NumberQ} :> {-x, -y}; Show[{g1, g2, g3, g4, g5, g6, lin1, lin2, lin3, tex1, tex2, tex3, cr1, cr2, ar1, ar2}, AspectRatio -> 1/GoldenRatio, ImageSize -> 400, PlotRange -> {{-3, 4}, {-2.7, 2.7}}]; Thanks in advance for any replies! Dimitris

**Follow-Ups**:**Re: drawing with Mathematica***From:*"Chris Chiasson" <chris@chiasson.name>