Re: creating a graphic in a text cell

*To*: mathgroup at smc.vnet.net*Subject*: [mg128202] Re: creating a graphic in a text cell*From*: Tomas Garza <tgarza10 at msn.com>*Date*: Sun, 23 Sep 2012 03:02:13 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net*References*:

There are a (huge) number of very instructive examples in the Demonstrations project, many of which have material which can be directly used in problems like the one you mention. See, e.g.,http://demonstrations.wolframcom/AtwoodsMachine/ -Tomas > From: dushanm at spinn.net > Subject: Re: creating a graphic in a text cell > To: mathgroup at smc.vnet.net > Date: Sat, 22 Sep 2012 02:47:06 -0400 > > On Thu, 20 Sep 2012 08:32:33 +0000, Alexei Boulbitch wrote: > > I'm teaching a statics course that naturally requires a lot of > > depictions of ropes, springs, pulleys, etc. To produce a graphic box > > I use Ctrl-1 and use the tool palette. This works, a bit painfully, but > > recently I ran into a need to depict angles with short arcs. I couldn't > > find a way of doing that that the graphic box would accept. > > > > Is there a way to specify an arc, and if so, how? I'm running Mathematica > > 8.0.4.0 under Mac OS X.6.8. Thanks. > > > > - Dushan Mitrovich > > > > > > Hi, Dushan, > > > > There is a primitive Circle[] in which you can make a circular arc. > > Just check Menu/Help/Circle. You may build it iby its evaluation in > > your notebook, and then you can draw down your sketch around the > > already existing arc. > > > > I also make a lot of drawings illustrating technical texts done in > > Mathematica. These drawings are not exactly as yours (i.e. to teach > > something), but they are rather comparable. Since already long time I > > refused of using the Drawings palette. Instead I do it > > programmatically using graphics primitives. The reason is that in the > > same drawing I often combine some elements obtained by one of > > plotting operations (like say, Plot[]) with other elements that > > previously I have produced with the palette. Typically as soon as I > > end up with drawing, I realized that have missed something in the > > plot, and need to make it once more. That means that I need to make > > also the whole palette-based drawing once again. > > > > After having started drawing with primitives I simply need to > > re-evaluate the whole code. > > > > As the example I just sketched below a simple static problem. You > > will find there the element entitled arc with the construct you asked > > about in your post about. > > > > Evaluate the code below. > > > > (* These are definitions of all elements of the sketch *) > > > > base = Graphics[{LightBlue, EdgeForm[{Thin, Black}], > > Polygon[{{0, 0}, {2, 0}, {2, 2*Tan[\[Pi]/8]}}]}]; > > > > brick1 = Graphics[{LightRed, EdgeForm[{Thin, Black}], > > Translate[ > > Rotate[Polygon[{{0, 0}, {0.5, 0}, {0.5, 0.25}, {0., = 0.25}, {0, > > 0}}], 0.392], {0.693, 0.417}]}]; > > > > arr1 = Graphics[{Red, Thick, > > Arrow[{{0.944, 0.514}, {0.944 - 0.4 Sin[\[Pi]/8], > > 0.514 + 0.4 Cos[\[Pi]/8]}}]}]; > > arr2 = Graphics[{Blue, Thick, > > Arrow[{{0.944 + 0.044, > > 0.514 - 0.086}, {0.944 + 0.044 - 0.5 Cos[\[Pi]/8], > > 0.514 - 0.5 Sin[\[Pi]/8] - 0.086}}]}]; > > arr3 = Graphics[{Brown, Thick, Arrow[{{0.944, 0.514}, {0.944= , 0.1}}]}]; > > txtN = Graphics[ > > Text[Style["N", Italic, 18, Red, Bold], {0.874, 0.902}]]= ; > > txtmg = Graphics[ > > Text[Style["mg", Italic, 18, Brown, Bold], {1.062, 0.148= }]]; > > txtkN = Graphics[ > > Text[Style["F=kN", Italic, 18, Blue, Bold], {0.342 + 0.1= 25, > > 0.46 - 0.11}]]; > > arc = Graphics[Circle[{0, 0}, 0.5, {0, \[Pi]/8}]]; > > txt3 = Graphics[Text[Style["\[Alpha]", 18], {0.546, 0.12}]]; > > line1 = Graphics[{Thick, > > Line[{{1.172, 0.632}, {1.172 + 0.806*Cos[\[Pi]/8], > > 0.632 + 0.806*Sin[\[Pi]/8]}}]}]; > > disk = Graphics[{LightBlue, EdgeForm[{Thin, Black}], > > Disk[{2, 2*Tan[\[Pi]/8] + 0.1}, 0.1]}]; > > line2 = Graphics[{Thick, > > Line[{{2.1 - 0.015, 2*Tan[\[Pi]/8] + 0.04}, {2.1 - 0.015, > > Tan[\[Pi]/8] + 0.04}}]}]; > > brick2 = Graphics[{LightRed, EdgeForm[{Thin, Black}], > > Polygon[{{2.01, 0.4542}, {2.01 + 0.15, 0.4542}, {2.01 + 0.1= 5, > > 0.3}, {2.01, 0.3}, {2.01, 0.4542}}]}]; > > arr4 = Graphics[{Green, Thick, > > Arrow[{{1.172, 0.632}, {1.172 + 0.3*Cos[\[Pi]/8], > > 0.632 + 0.3*Sin[\[Pi]/8]}}]}]; > > arr5 = Graphics[{Green, Thick, > > Arrow[{{2.1 - 0.015, Tan[\[Pi]/8] + 0.04}, {2.1 - 0.015, > > Tan[\[Pi]/8] + 0.3}}]}]; > > arr6 = Graphics[{Black, Thick, > > Arrow[{{2.1 - 0.015, Tan[\[Pi]/8] - 0.04}, {2.1 - 0.015, > > Tan[\[Pi]/8] - 0.04 - 0.3}}]}]; > > txtT1 = Graphics[ > > Text[Style["T", 18, Italic, Bold, Green], {1.395, 0.83}]= ]; > > txtT2 = Graphics[ > > Text[Style["T", 18, Italic, Bold, Green], {2.172, 0.605}= ]]; > > txtMg = Graphics[ > > Text[Style["Mg", 18, Italic, Bold, Black], {2.206, 0.13}= ]]; > > > > (* here the elements are unified making the sketch *) > > Show[{base, brick1, arr1, arr2, arr3, txtN, txtmg, txtkN= , arc, txt3, > > line1, disk, line2, brick2, arr4, arr5, arr6, txtT1, = txtT2, txtMg}] > > > > One can also easily parameterize it and make a movie out of a static > > drawing. > > > > Drawing with primitives goes a bit slower than that with the palette,= > > but still astonishingly fast. It took me about 10 minutes to draw > > this. There is a simple trick to accelerate the process. Just ask me,= > > if you would find it interesting to learn about it. > > > > Have fun, > > Alexei > > > > Alexei BOULBITCH, Dr., habil. > > IEE S.A. > > ZAE Weiergewan, > > 11, rue Edmond Reuter, > > L-5326 Contern, LUXEMBOURG > > > > Office phone : +352-2454-2566 > > Office fax: +352-2454-3566 > > mobile phone: +49 151 52 40 66 44 > > > > e-mail: alexei.boulbitch at iee.lu > > > > Hi Alexei, > > Your suggestion and example code were very useful - thanks. Your > comments make a strong case that the Graphics palette is useful only > for the most basic uses and not helpful beyond that. The example code > you supplied works just fine on my system. Since I don't want to have > the graphics instructions appear in the instructional material, I can > have the instructions in a separated notebook, generate the graphic, > then just paste it where I need it. > > In fact, I could make a collection of basic-shape instructions, select > and copy the ones I need, tailor them for the specific graphic, and > execute. This could speed things up considerably after a while. > > Yes, I am very interested to learn the acceleration trick you mention. > > - Dushan >

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