<div dir="ltr">Hi Stephane,<div><br></div><div>Many thanks for the code pointers - graphics look fab!</div><div><br></div><div>Cheers</div><div>Lester</div></div><br><div class="gmail_quote"><div dir="ltr" class="gmail_attr">On Thu, 14 Apr 2022 at 15:29, Stéphane Mottelet <<a href="mailto:stephane.mottelet@utc.fr">stephane.mottelet@utc.fr</a>> wrote:<br></div><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left:1ex">
<div>
<p>You can also enjoy the 3d version:</p>
<pre style="font-style:normal;font-size:17px;font-family:Monospaced"><span style="color:rgb(176,24,19)">function</span> <span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">anglePath3</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(0,0,0)">, </span><span style="color:rgb(131,67,16);font-weight:bold">th</span><span style="color:rgb(0,0,0)">, </span><span style="color:rgb(131,67,16);font-weight:bold">ph</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(0,0,0)">cumth</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">cumsum</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">th</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">cumph</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">cumsum</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">ph</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(131,67,16);font-weight:bold">X</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">cumsum</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(74,85,219)">[</span><span style="color:rgb(188,143,143)">0</span> <span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">.*</span><span style="color:rgb(50,185,185)">sin</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">cumph</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(188,143,143)">0</span> <span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">.*</span><span style="color:rgb(50,185,185)">sin</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">cumth</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.*</span><span style="color:rgb(50,185,185)">cos</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">cumph</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(188,143,143)">0</span> <span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">.*</span><span style="color:rgb(50,185,185)">cos</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">cumth</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.*</span><span style="color:rgb(50,185,185)">cos</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">cumph</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">]</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(176,24,19)">function</span> <span style="color:rgb(131,67,16);font-weight:bold">N</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">collatz</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(131,67,16);font-weight:bold">N</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">while</span> <span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(92,92,92)"><></span><span style="color:rgb(188,143,143)">1</span>
<span style="color:rgb(160,32,240)">if</span> <span style="color:rgb(0,0,0)">modulo</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">==</span> <span style="color:rgb(188,143,143)">0</span>
<span style="color:rgb(131,67,16);font-weight:bold">n</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(92,92,92)">/</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">else</span>
<span style="color:rgb(131,67,16);font-weight:bold">n</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(188,143,143)">3</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(131,67,16);font-weight:bold">N</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(74,85,219)">[</span><span style="color:rgb(131,67,16);font-weight:bold">n</span> <span style="color:rgb(131,67,16);font-weight:bold">N</span><span style="color:rgb(74,85,219)">]</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(0,0,0)">a</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">0.1</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">e</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">1.3</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">clf</span>
<span style="color:rgb(0,0,0)">NCOL</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">512</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">gcf</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.</span><span style="color:rgb(170,170,170)">color_map</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0)">parulacolormap</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">NCOL</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(50,185,185)">drawlater</span>
<span style="color:rgb(160,32,240)">for</span> <span style="color:rgb(0,0,0)">i</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(188,143,143)">200</span>
<span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">collatz</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(50,185,185)">grand</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">'</span><span style="color:rgb(188,143,143)">uin</span><span style="color:rgb(188,143,143)">'</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">1000000</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">m1</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0)">modulo</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">4</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">m2</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0)">m1</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">m1</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">m1</span><span style="color:rgb(92,92,92)">></span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">0</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">m2</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">m2</span><span style="color:rgb(92,92,92)"><=</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">0</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">anglePath3</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">./</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">.^</span><span style="color:rgb(0,0,0)">e</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(0,0,0)">a</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(218,112,214)">%pi</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">0.352</span><span style="color:rgb(92,92,92)">-</span><span style="color:rgb(0,0,0)">modulo</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">m1</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(0,0,0)">a</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(218,112,214)">%pi</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">0.352</span><span style="color:rgb(92,92,92)">-</span><span style="color:rgb(0,0,0)">modulo</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">m2</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">x</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(50,185,185)">rand</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">3</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">/</span><span style="color:rgb(188,143,143)">8</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(50,185,185)">param3d</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">x</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(0,0,0)">x</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(0,0,0)">x</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">3</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">3</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(0,0,0)">gce</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.</span><span style="color:rgb(170,170,170)">foreground</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(50,185,185)">min</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">NCOL</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(50,185,185)">length</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(0,0,0)">isoview</span> <span style="color:rgb(0,0,0)">on</span>
<span style="color:rgb(50,185,185)">drawnow</span></pre>
<p><br>
</p>
<div>Le 14/04/2022 à 09:46, Stéphane
Mottelet a écrit :<br>
</div>
<blockquote type="cite">
<p>Hi again,</p>
<p>Here is a small code doing the graphic job:</p>
<pre style="font-family:Monospaced;font-style:normal"><span style="color:rgb(176,24,19)">function</span> <span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">anglePath</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(0,0,0)">, </span><span style="color:rgb(131,67,16);font-weight:bold">th</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(0,0,0)">cumth</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">cumsum</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">th</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(131,67,16);font-weight:bold">X</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(50,185,185)">cumsum</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(74,85,219)">[</span><span style="color:rgb(188,143,143)">0</span> <span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">.*</span><span style="color:rgb(50,185,185)">cos</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">cumth</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span><span style="color:rgb(188,143,143)">0</span> <span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">.*</span><span style="color:rgb(50,185,185)">sin</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(0,0,0)">cumth</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">]</span><span style="color:rgb(0,0,0)">,</span> <span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(176,24,19)">function</span> <span style="color:rgb(131,67,16);font-weight:bold">N</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">collatz</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(74,85,219)">)</span>
<span style="color:rgb(131,67,16);font-weight:bold">N</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">while</span> <span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(92,92,92)"><></span><span style="color:rgb(188,143,143)">1</span>
<span style="color:rgb(160,32,240)">if</span> <span style="color:rgb(0,0,0)">modulo</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span> <span style="color:rgb(92,92,92)">==</span> <span style="color:rgb(188,143,143)">0</span>
<span style="color:rgb(131,67,16);font-weight:bold">n</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(92,92,92)">/</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">else</span>
<span style="color:rgb(131,67,16);font-weight:bold">n</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(188,143,143)">3</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(131,67,16);font-weight:bold">n</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(131,67,16);font-weight:bold">N</span> <span style="color:rgb(92,92,92)">=</span> <span style="color:rgb(74,85,219)">[</span><span style="color:rgb(131,67,16);font-weight:bold">n</span> <span style="color:rgb(131,67,16);font-weight:bold">N</span><span style="color:rgb(74,85,219)">]</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(160,32,240)">end</span>
<span style="color:rgb(0,0,0)">a</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">0.08</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">e</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">1.2</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">clf</span>
<span style="color:rgb(0,0,0)">gcf</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">.</span><span style="color:rgb(170,170,170)">color_map</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0)">graycolormap</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">128</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">for</span> <span style="color:rgb(0,0,0)">i</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(188,143,143)">100</span>
<span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">collatz</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(50,185,185)">ceil</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(50,185,185)">rand</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(188,143,143)">2000000000</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(92,92,92)">=</span><span style="color:rgb(0,0,0);text-decoration:underline">anglePath</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">./</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(92,92,92)">.^</span><span style="color:rgb(188,143,143)">1.2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(0,0,0)">a</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(218,112,214)">%pi</span><span style="color:rgb(92,92,92)">*</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">0.35</span><span style="color:rgb(92,92,92)">-</span><span style="color:rgb(0,0,0)">modulo</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(131,67,16);font-weight:bold">r</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(0,0,0)">plot</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">0.01</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">1</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(92,92,92)">-</span><span style="color:rgb(188,143,143)">0.01</span><span style="color:rgb(92,92,92)">+</span><span style="color:rgb(131,67,16);font-weight:bold">X</span><span style="color:rgb(74,85,219)">(</span><span style="color:rgb(188,143,143)">2</span><span style="color:rgb(0,0,0)">,</span><span style="color:rgb(255,170,0)">:</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(74,85,219)">)</span><span style="color:rgb(0,0,0)">;</span>
<span style="color:rgb(160,32,240)">end
</span></pre>
<pre cols="72">--
Stéphane Mottelet
Ingénieur de recherche
EA 4297 Transformations Intégrées de la Matière Renouvelable
Département Génie des Procédés Industriels
Sorbonne Universités - Université de Technologie de Compiègne
CS 60319, 60203 Compiègne cedex
Tel : +33(0)344234688
<a href="https://antispam.utc.fr/proxy/v3?i=Zk92VEFKaGQ4Ums4cnZEUWMTpfHaXFQGRw1_CnOoOH0&r=bHA1dGV3NWJQVUloaWNFUYH-0fCrCfKNwGzaHK3mGAF34Dbd5QpdXfVRjdiNrR7K&f=SlhDbE9uS2laS2JaZFpNWvypxfeihkZF7xphlFhpLfOsI1HEbZ2YCuIwSI8iQL53&u=http%3A//www.utc.fr/~mottelet&k=XRKU" target="_blank">http://www.utc.fr/~mottelet</a>
</pre>
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<fieldset></fieldset>
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</blockquote>
<pre cols="72">--
Stéphane Mottelet
Ingénieur de recherche
EA 4297 Transformations Intégrées de la Matière Renouvelable
Département Génie des Procédés Industriels
Sorbonne Universités - Université de Technologie de Compiègne
CS 60319, 60203 Compiègne cedex
Tel : +33(0)344234688
<a href="http://www.utc.fr/~mottelet" target="_blank">http://www.utc.fr/~mottelet</a>
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