File:Superellipse star.svg
From Infogalactic: the planetary knowledge core
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Summary
The superellipse described by <img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88dee28b543e90dbbad10b8b400be5dfe6c4f03e" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.838ex; width:15.751ex; height:4.009ex;" alt="{\displaystyle \left|x\right|^{\frac {1}{2}}+\left|y\right|^{\frac {1}{2}}=1}"> and plotted with <a href="https://en.wikipedia.org/wiki/maxima_(software)" class="extiw" title="w:maxima (software)">maxima</a> using the following script:
<span class="k">load</span><span class="p">(</span><span class="n">draw</span><span class="p">);</span>
<span class="err">draw2d(</span> <span class="nv">terminal</span><span class="o">=</span><span class="n">svg</span><span class="o">,</span>
<span class="nv">grid</span><span class="o">=</span><span class="n">true</span><span class="o">,</span><span class="n">user_preamble</span><span class="o">=</span><span class="s">"set zeroaxis; set mxtics; set mytics;"</span><span class="o">,</span>
<span class="nv">xtics_axis</span><span class="o">=</span><span class="n">true</span><span class="o">,</span><span class="n">ytics_axis</span><span class="o">=</span><span class="n">true</span><span class="o">,</span><span class="n">ip_grid</span><span class="o">=</span><span class="p">[</span><span class="mi">100</span><span class="o">,</span><span class="mi">100</span><span class="p">]</span><span class="o">,</span>
<span class="nv">color</span><span class="o">=</span><span class="n">blue</span><span class="o">,</span><span class="nf">label</span><span class="p">([</span><span class="s">"x"</span><span class="o">,</span><span class="mi">1</span><span class="o">,</span><span class="mf">0.1</span><span class="p">])</span><span class="o">,</span><span class="nf">label</span><span class="p">([</span><span class="s">"y"</span><span class="o">,</span><span class="mf">.1</span><span class="o">,</span><span class="mi">1</span><span class="p">])</span><span class="o">,</span>
<span class="nv">xaxis_type</span><span class="o">=</span><span class="n">solid</span><span class="o">,</span><span class="n">yaxis_type</span><span class="o">=</span><span class="n">solid</span><span class="o">,</span><span class="n">line_width</span><span class="o">=</span><span class="mf">1.5</span><span class="o">,</span>
<span class="nv">axis_bottom</span><span class="o">=</span><span class="n">false</span><span class="o">,</span><span class="n">axis_top</span><span class="o">=</span><span class="n">false</span><span class="o">,</span><span class="n">axis_right</span><span class="o">=</span><span class="n">false</span><span class="o">,</span><span class="n">axis_left</span><span class="o">=</span><span class="n">false</span><span class="o">,</span>
<span class="nv">color</span><span class="o">=</span><span class="n">red</span><span class="o">,</span><span class="nf">implicit</span><span class="p">(</span><span class="nf">abs</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">^</span><span class="mf">0.5</span><span class="o">+</span><span class="nf">abs</span><span class="p">(</span><span class="n">y</span><span class="p">)</span><span class="o">^</span><span class="mf">0.5</span><span class="o">=</span><span class="mi">1</span><span class="o">,</span><span class="n">x</span><span class="o">,</span><span class="mi">-1</span><span class="o">,</span><span class="mi">1</span><span class="o">,</span><span class="n">y</span><span class="o">,</span><span class="mi">-1</span><span class="o">,</span><span class="mi">1</span><span class="p">)</span>
<span class="err">)</span><span class="k">;</span>
Licensing
Lua error in package.lua at line 80: module 'strict' not found.
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:47, 16 January 2017 | | 400 × 400 (54 KB) | 127.0.0.1 (talk) | The superellipse described by <span><span class="mwe-math-mathml-inline mwe-math-mathml-a11y mw-math-element" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msup><mrow><mo>|</mo><mi>x</mi><mo>|</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></msup><mo>+</mo><msup><mrow><mo>|</mo><mi>y</mi><mo>|</mo></mrow><mrow class="MJX-TeXAtom-ORD"><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></msup><mo>=</mo><mn>1</mn></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \left|x\right|^{\frac {1}{2}}+\left|y\right|^{\frac {1}{2}}=1}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88dee28b543e90dbbad10b8b400be5dfe6c4f03e" class="mwe-math-fallback-image-inline mw-math-element" aria-hidden="true" style="vertical-align: -0.838ex; width:15.751ex; height:4.009ex;" alt="{\displaystyle \left|x\right|^{\frac {1}{2}}+\left|y\right|^{\frac {1}{2}}=1}"></span> and plotted with <a href="https://en.wikipedia.org/wiki/maxima_(software)" class="extiw" title="w:maxima (software)">maxima</a> using the following script: <div class="mw-highlight mw-content-ltr" dir="ltr"><pre><span class="k">load</span><span class="p">(</span><span class="n">draw</span><span class="p">);</span> <span class="err">draw2d(</span> <span class="nv">terminal</span><span class="o">=</span><span class="n">svg</span><span class="o">,</span> <span class="nv">grid</span><span class="o">=</span><span class="n">true</span><span class="o">,</span><span class="n">user_preamble</span><span class="o">=</span><span class="s">"set zeroaxis; set mxtics; set mytics;"</span><span class="o">,</span> <span class="nv">xtics_axis</span><span class="o">=</span><span class="n">true</span><span class="o">,</span><span class="n">ytics_axis</span><span class="o">=</span><span class="n">true</span><span class="o">,</span><span class="n">ip_grid</span><span class="o">=</span><span class="p">[</span><span class="mi">100</span><span class="o">,</span><span class="mi">100</span><span class="p">]</span><span class="o">,</span> <span class="nv">color</span><span class="o">=</span><span class="n">blue</span><span class="o">,</span><span class="nf">label</span><span class="p">([</span><span class="s">"x"</span><span class="o">,</span><span class="mi">1</span><span class="o">,</span><span class="mf">0.1</span><span class="p">])</span><span class="o">,</span><span class="nf">label</span><span class="p">([</span><span class="s">"y"</span><span class="o">,</span><span class="mf">.1</span><span class="o">,</span><span class="mi">1</span><span class="p">])</span><span class="o">,</span> <span class="nv">xaxis_type</span><span class="o">=</span><span class="n">solid</span><span class="o">,</span><span class="n">yaxis_type</span><span class="o">=</span><span class="n">solid</span><span class="o">,</span><span class="n">line_width</span><span class="o">=</span><span class="mf">1.5</span><span class="o">,</span> <span class="nv">axis_bottom</span><span class="o">=</span><span class="n">false</span><span class="o">,</span><span class="n">axis_top</span><span class="o">=</span><span class="n">false</span><span class="o">,</span><span class="n">axis_right</span><span class="o">=</span><span class="n">false</span><span class="o">,</span><span class="n">axis_left</span><span class="o">=</span><span class="n">false</span><span class="o">,</span> <span class="nv">color</span><span class="o">=</span><span class="n">red</span><span class="o">,</span><span class="nf">implicit</span><span class="p">(</span><span class="nf">abs</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">^</span><span class="mf">0.5</span><span class="o">+</span><span class="nf">abs</span><span class="p">(</span><span class="n">y</span><span class="p">)</span><span class="o">^</span><span class="mf">0.5</span><span class="o">=</span><span class="mi">1</span><span class="o">,</span><span class="n">x</span><span class="o">,</span><span class="mi">-1</span><span class="o">,</span><span class="mi">1</span><span class="o">,</span><span class="n">y</span><span class="o">,</span><span class="mi">-1</span><span class="o">,</span><span class="mi">1</span><span class="p">)</span> <span class="err">)</span><span class="k">;</span> </pre></div> |
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