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index.html
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<html>
<head>
<title>Rose</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/p5.js/1.2.0/p5.min.js"></script>
<link href="https://cdn.jsdelivr.net/npm/bootstrap@5.2.3/dist/css/bootstrap.min.css" rel="stylesheet" integrity="sha384-rbsA2VBKQhggwzxH7pPCaAqO46MgnOM80zW1RWuH61DGLwZJEdK2Kadq2F9CUG65" crossorigin="anonymous">
<script src="sketch.js"></script>
<link rel="stylesheet" href="styl.css">
</head>
<body>
<nav class="navbar navbar-expand-lg bg-light">
<div class="container-fluid">
<img src="asset/bar.png" alt="Bootstrap" width="40" height="34">
<a class="navbar-brand" href="#" style="font-weight:500">Aba Projects</a>
<button class="navbar-toggler" type="button" data-bs-toggle="collapse" data-bs-target="#navbarNavDropdown" aria-controls="navbarNavDropdown" aria-expanded="false" aria-label="Toggle navigation">
<span class="navbar-toggler-icon"></span>
</button>
<div class="collapse navbar-collapse" id="navbarNavDropdown">
<ul class="navbar-nav">
<li class="nav-item">
<a class="nav-link active" aria-current="page" href="#">Home</a>
</li>
<li class="nav-item">
<a class="nav-link" href="https://en.wikipedia.org/wiki/Rose_(mathematics)" target="_blank">Source</a>
</li>
<li class="nav-item">
<a class="nav-link" href="https://www.facebook.com/abanob.raffet" target="_blank">Contact me</a>
</li>
</ul>
</div>
</div>
</nav>
<br>
<div class="contnt">
<div class="thumbinner" style="width:340px;"><a href="https://upload.wikimedia.org/wikipedia/commons/b/b4/Rose-rhodonea-curve-7x9-chart-improved.svg" class="image" target="_blank"><img alt="" src="https://upload.wikimedia.org/wikipedia/commons/b/b4/Rose-rhodonea-curve-7x9-chart-improved.svg" decoding="async" width="270" height="322" class="thumbimage" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Rose-rhodonea-curve-7x9-chart-improved.svg/375px-Rose-rhodonea-curve-7x9-chart-improved.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/b4/Rose-rhodonea-curve-7x9-chart-improved.svg/500px-Rose-rhodonea-curve-7x9-chart-improved.svg.png 2x" data-file-width="452" data-file-height="582"></a> <div class="thumbcaption"><div class="magnify"></div>Roses specified by the sinusoid <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r=\cos(k\theta )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>r</mi>
<mo>=</mo>
<mi>cos</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>k</mi>
<mi>θ<!-- θ --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle r=\cos(k\theta )}</annotation>
</semantics>
</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b064eee89760324c9b0234e3c5426607d0bf9e2f" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:11.369ex; height:2.843ex;" alt="{\displaystyle r=\cos(k\theta )}"></span> for various rational numbered values of the angular frequency <i>k</i>=<i>n</i>/<i>d</i>. Roses specified by <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r=\sin(k\theta )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>r</mi>
<mo>=</mo>
<mi>sin</mi>
<mo><!-- --></mo>
<mo stretchy="false">(</mo>
<mi>k</mi>
<mi>θ<!-- θ --></mi>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle r=\sin(k\theta )}</annotation>
</semantics>
</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/378fe6d60f062e09505f401209e2a83e371276fb" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:11.114ex; height:2.843ex;" alt="{\displaystyle r=\sin(k\theta )}"></span> are rotations of these roses by one-quarter period of the sinusoid in a counter-clockwise direction about the pole (origin). For proper mathematical analysis, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>k</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle k}</annotation>
</semantics>
</math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:1.211ex; height:2.176ex;" alt="k"></span> must be expressed in irreducible form.</div></div>
<div id="sketch-holder" ></div>
</div>
<br>
<div class="footr">
Used to make this page
<li > <a href="https://p5js.org/">p5 Library</a></li>
<li > <a href="https://getbootstrap.com/">Bootstrap Library</a></li>
<li > <a href="https://en.wikipedia.org/wiki/Rose_(mathematics)">Rose (mathematics)
From Wikipedia </a></li>
</div>
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</body>
</html>