gbrault
/
jupytersketcher
镜像来自 https://github.com/gbrault/jupytersketcher.git


			
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     <!-- navigation toc: --> <li><a href="._pysketcher001.html#___sec0" style="font-size: 80%;"><b>A First Glimpse of Pysketcher</b></a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher001.html#___sec1" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Basic Construction of Sketches</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher001.html#___sec2" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Basic Drawing</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher001.html#___sec3" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Groups of Objects</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher001.html#___sec4" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Changing Line Styles and Colors</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher001.html#___sec5" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The Figure Composition as an Object Hierarchy</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher001.html#___sec6" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Animation: Translating the Vehicle</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher001.html#sketcher:vehicle1:anim" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Animation: Rolling the Wheels</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec8" style="font-size: 80%;"><b>Basic Shapes</b></a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec9" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Axis</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec10" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Distance with Text</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec11" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Rectangle</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec12" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Triangle</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec13" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Arc</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec14" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Spring</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec15" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Dashpot</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec16" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Wavy</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher002.html#___sec17" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Stochastic curves</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec18" style="font-size: 80%;"><b>Inner Workings of the Pysketcher Tool</b></a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec19" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Example of Classes for Geometric Objects</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec20" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Simple Geometric Objects</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec21" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Class Curve</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec22" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Compound Geometric Objects</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec23" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Adding Functionality via Recursion</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec24" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Basic Principles of Recursion</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec25" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Explaining Recursion</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#sketcher:scaling" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Scaling, Translating, and Rotating a Figure</a></li>
     <!-- navigation toc: --> <li><a href="._pysketcher003.html#___sec27" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Scaling</a></li>
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<center><h1>Using Pysketcher to Create Principal Sketches of Physics Problems</h1></center>  <!-- document title -->

<p>
<!-- author(s): Hans Petter Langtangen -->

<center>
<b>Hans Petter Langtangen</b> [1, 2]
</center>

<p>
<!-- institution(s) -->

<center>[1] <b>Center for Biomedical Computing, Simula Research Laboratory</b></center>
<center>[2] <b>Department of Informatics, University of Oslo</b></center>
<br>
<p>
<center><h4>Dec 22, 2015</h4></center> <!-- date -->
<br>
<p>

<!-- begin box -->
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This document is derived from Chapter 9 in the book
<a href="http://www.amazon.com/Scientific-Programming-Computational-Science-Engineering/dp/3642549586/ref=sr_1_2?s=books&ie=UTF8&qid=1407225588&sr=1-2&keywords=langtangen" target="_self">A Primer on Scientific Programming with Python</a>, by H. P. Langtangen,
4th edition, Springer, 2014.
</div>
<!-- end box -->


<p>
<b>Abstract.</b> Pysketcher is a Python package which allows principal sketches of
physics and mechanics problems to be realized through short programs
instead of interactive (and potentially tedious and inaccurate)
drawing.  Elements of the sketch, such as lines, circles, angles,
forces, coordinate systems, etc., are realized as objects and
collected in hierarchical structures. Parts of the hierarchical
structures can easily change line styles and colors, or be copied,
scaled, translated, and rotated. These features make it
straightforward to move parts of the sketch to create animation,
usually in accordance with the physics of the underlying problem.
Exact dimensioning of the elements in the sketch is trivial to obtain
since distances are specified in computer code.

<p>
Pysketcher is easy to learn from a number of examples. Beyond
essential Python programming and a knowledge about mechanics problems,
no further background is required.

<p>
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