MATHLET
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<div style="padding:40px;color:#cbccc6"><h1>超椭圆（Lamé 曲线）</h1><p>n=2 椭圆，n→∞ 矩形，n=2/3 星形线。</p><div style="padding:20px;background:#0d1017;border-left:3px solid #ffb454"><span class="katex-display"><span class="katex"><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.8903em;vertical-align:-0.686em;"></span><span class="minner"><span class="minner"><span class="mopen"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.15em;"><span style="top:-3.15em;"><span class="pstrut" style="height:3.8em;"></span><span style="width:0.333em;height:1.8em;"><svg xmlns="http://www.w3.org/2000/svg" width="0.333em" height="1.8em" viewBox="0 0 333 1800"><path d="M145 15 v585 v600 v585 c2.667,10,9.667,15,21,15 c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15 c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.65em;"><span></span></span></span></span></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathnormal">a</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathnormal">x</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.15em;"><span style="top:-3.15em;"><span class="pstrut" style="height:3.8em;"></span><span style="width:0.333em;height:1.8em;"><svg xmlns="http://www.w3.org/2000/svg" width="0.333em" height="1.8em" viewBox="0 0 333 1800"><path d="M145 15 v585 v600 v585 c2.667,10,9.667,15,21,15 c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15 c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.65em;"><span></span></span></span></span></span></span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:1.2043em;"><span style="top:-3.6029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2222em;"></span><span class="mbin">+</span><span class="mspace" style="margin-right:0.2222em;"></span></span><span class="base"><span class="strut" style="height:1.8903em;vertical-align:-0.686em;"></span><span class="minner"><span class="minner"><span class="mopen"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.15em;"><span style="top:-3.15em;"><span class="pstrut" style="height:3.8em;"></span><span style="width:0.333em;height:1.8em;"><svg xmlns="http://www.w3.org/2000/svg" width="0.333em" height="1.8em" viewBox="0 0 333 1800"><path d="M145 15 v585 v600 v585 c2.667,10,9.667,15,21,15 c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15 c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.65em;"><span></span></span></span></span></span></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.1076em;"><span style="top:-2.314em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathnormal">b</span></span></span><span style="top:-3.23em;"><span class="pstrut" style="height:3em;"></span><span class="frac-line" style="border-bottom-width:0.04em;"></span></span><span style="top:-3.677em;"><span class="pstrut" style="height:3em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.0359em;">y</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.686em;"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mclose"><span class="delimsizing mult"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:1.15em;"><span style="top:-3.15em;"><span class="pstrut" style="height:3.8em;"></span><span style="width:0.333em;height:1.8em;"><svg xmlns="http://www.w3.org/2000/svg" width="0.333em" height="1.8em" viewBox="0 0 333 1800"><path d="M145 15 v585 v600 v585 c2.667,10,9.667,15,21,15 c10,0,16.667,-5,20,-15 v-585 v-600 v-585 c-2.667,-10,-9.667,-15,-21,-15 c-10,0,-16.667,5,-20,15z M188 15 H145 v585 v600 v585 h43z"/></svg></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.65em;"><span></span></span></span></span></span></span></span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:1.2043em;"><span style="top:-3.6029em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">n</span></span></span></span></span></span></span></span><span class="mspace" style="margin-right:0.2778em;"></span><span class="mrel">=</span><span class="mspace" style="margin-right:0.2778em;"></span></span><span class="base"><span class="strut" style="height:0.6444em;"></span><span class="mord">1</span></span></span></span></span></div><p style="color:#707a8c">该页面需要 JavaScript 进行交互式可视化。</p></div>
MATHLET