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authorPeter Bengtsson <mail@peterbe.com>2020-12-08 14:42:52 -0500
committerPeter Bengtsson <mail@peterbe.com>2020-12-08 14:42:52 -0500
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+---
+title: rotate3d()
+slug: Web/CSS/transform-function/rotate3d()
+tags:
+ - CSS
+translation_of: Web/CSS/transform-function/rotate3d()
+---
+<div>{{CSSRef}}</div>
+
+<div>Функция <a href="/en-US/docs/Web/CSS">CSS</a> <strong><code>rotate3d()</code> </strong>трансформирует элемент без деформации, вращяя его в трехмерном пространстве вокруг зафиксированной оси. Её результатом является тип {{cssxref ("&lt;transform-function&gt;")}}.</div>
+
+<div> </div>
+
+<div>{{EmbedInteractiveExample("pages/css/rotate3d.html")}}</div>
+
+
+
+<p>In 3D space, rotations have three degrees of liberty, which together describe a single axis of rotation. The axis of rotation is defined by an [x, y, z] vector and pass by the origin (as defined by the {{ cssxref("transform-origin") }} property). If, as specified, the vector is not <em>normalized</em> (i.e., if the sum of the square of its three coordinates is not 1), the {{glossary("user agent")}} will normalize it internally. A non-normalizable vector, such as the null vector, [0, 0, 0], will cause the rotation to be ignored, but without invaliding the whole CSS property.</p>
+
+<div class="note"><strong>Note:</strong> Unlike rotations in the 2D plane, the composition of 3D rotations is usually not commutative. In other words, the order in which the rotations are applied impacts the result.</div>
+
+<h2 id="Syntax">Syntax</h2>
+
+<p>The amount of rotation created by <code>rotate3d()</code> is specified by three {{cssxref("&lt;number&gt;")}}s and one {{cssxref("&lt;angle&gt;")}}. The <code>&lt;number&gt;</code>s represent the x-, y-, and z-coordinates of the vector denoting the axis of rotation. The <code>&lt;angle&gt;</code> represents the angle of rotation; if positive, the movement will be clockwise; if negative, it will be counter-clockwise.</p>
+
+<pre class="syntaxbox notranslate">rotate3d(<em>x</em>, <em>y</em>, <em>z</em>, <em>a</em>)
+</pre>
+
+<h3 id="Values">Values</h3>
+
+<dl>
+ <dt><code>x</code></dt>
+ <dd>Is a {{cssxref("&lt;number&gt;")}} describing the x-coordinate of the vector denoting the axis of rotation which could between 0 and 1.</dd>
+ <dt><code>y</code></dt>
+ <dd>Is a {{cssxref("&lt;number&gt;")}} describing the y-coordinate of the vector denoting the axis of rotation which could between 0 and 1.</dd>
+ <dt><code>z</code></dt>
+ <dd>Is a {{cssxref("&lt;number&gt;")}} describing the z-coordinate of the vector denoting the axis of rotation which could between 0 and 1.</dd>
+ <dt><code>a</code></dt>
+ <dd>Is an {{ cssxref("&lt;angle&gt;") }} representing the angle of the rotation. A positive angle denotes a clockwise rotation, a negative angle a counter-clockwise one.</dd>
+</dl>
+
+<table class="standard-table">
+ <tbody>
+ <tr>
+ <th scope="col">Cartesian coordinates on ℝ<sup>2</sup></th>
+ <td rowspan="2">This transformation applies to the 3D space and can't be represented on the plane.</td>
+ </tr>
+ <tr>
+ <th scope="col">Homogeneous coordinates on ℝℙ<sup>2</sup></th>
+ </tr>
+ <tr>
+ <th scope="col">Cartesian coordinates on ℝ<sup>3</sup></th>
+ <td colspan="1"><a href="/@api/deki/files/5987/=transform-functions-rotate3d_cart.png"><img src="/@api/deki/files/5987/=transform-functions-rotate3d_cart.png?size=webview" style="height: 47px; width: 510px;"></a><math> <mfenced><mtable><mtr><mtd>1<mo>+</mo>(1<mo>-</mo>cos(<mi>a</mi>))(<msup><mi>x</mi><mn>2</mn></msup><mo>-</mo>1)</mtd><mtd><mi>z</mi><mo>·</mo>sin(<mi>a</mi>)+<mi>x</mi><mi>y</mi>(1<mo>-</mo>cos(<mi>a</mi>))</mtd><mtd><mo>-</mo><mi>y</mi><mo>·</mo>sin(<mi>a</mi>)<mo>+</mo><mi>x</mi><mi>z</mi><mo>·</mo>(1<mo>-</mo>cos(<mi>a</mi>))</mtd></mtr><mtr><mtd><mo>-</mo><mi>z</mi><mo>·</mo>sin(<mi>a</mi>)<mo>+</mo><mi>x</mi><mi>y</mi><mo>·</mo>(1<mo>-</mo>cos(<mi>a</mi>))</mtd><mtd>1+(1-cos(a))(y2-1)</mtd><mtd><mi>x</mi><mo>·</mo>sin(<mi>a</mi>)<mo>+</mo><mi>y</mi><mi>z</mi><mo>·</mo>(1<mo>-</mo>cos(<mi>a</mi>))</mtd><mtr><mtd>ysin(a) + xz(1-cos(a))</mtd><mtd>-xsin(a)+yz(1-cos(a))</mtd><mtd>1+(1-cos(a))(z2-1)</mtd><mtd>t</mtd></mtr><mtr><mtd>0</mtd><mtd>0</mtd><mtd>0</mtd><mtd>1</mtd></mtr> </mtr></mtable></mfenced></math></td>
+ </tr>
+ <tr>
+ <th scope="col">Homogeneous coordinates on ℝℙ<sup>3</sup></th>
+ <td colspan="1"><a href="/@api/deki/files/5986/=transform-functions-rotate3d_hom4.png"><img src="/@api/deki/files/5986/=transform-functions-rotate3d_hom4.png?size=webview" style="height: 61px; width: 522px;"></a></td>
+ </tr>
+ </tbody>
+</table>
+
+<h2 id="Examples">Examples</h2>
+
+<h3 id="Rotating_on_the_y-axis">Rotating on the y-axis</h3>
+
+<h4 id="HTML">HTML</h4>
+
+<pre class="brush: html notranslate">&lt;div&gt;Normal&lt;/div&gt;
+&lt;div class="rotated"&gt;Rotated&lt;/div&gt;</pre>
+
+<h4 id="CSS">CSS</h4>
+
+<pre class="brush: css notranslate">body {
+ perspective: 800px;
+}
+
+div {
+ width: 80px;
+ height: 80px;
+ background-color: skyblue;
+}
+
+.rotated {
+ transform: rotate3d(0, 1, 0, 60deg);
+ background-color: pink;
+}
+</pre>
+
+<h4 id="Result">Result</h4>
+
+<p>{{EmbedLiveSample("Rotating_on_the_y-axis", "auto", 180)}}</p>
+
+<h3 id="Rotating_on_a_custom_axis">Rotating on a custom axis</h3>
+
+<h4 id="HTML_2">HTML</h4>
+
+<pre class="brush: html notranslate">&lt;div&gt;Normal&lt;/div&gt;
+&lt;div class="rotated"&gt;Rotated&lt;/div&gt;</pre>
+
+<h4 id="CSS_2">CSS</h4>
+
+<pre class="brush: css notranslate">body {
+ perspective: 800px;
+}
+
+div {
+ width: 80px;
+ height: 80px;
+ background-color: skyblue;
+}
+
+.rotated {
+ transform: rotate3d(1, 2, -1, 192deg);
+ background-color: pink;
+}
+</pre>
+
+<h4 id="Result_2">Result</h4>
+
+<p>{{EmbedLiveSample("Rotating_on_a_custom_axis", "auto", 180)}}</p>
+
+<h2 id="Browser_compatibility">Browser compatibility</h2>
+
+<p>Please see the <code><a href="/en-US/docs/Web/CSS/transform-function#Browser_compatibility">&lt;transform-function&gt;</a></code> data type for compatibility info.</p>
+
+<h2 id="See_also">See also</h2>
+
+<ul>
+ <li>{{cssxref("transform")}}</li>
+ <li>{{cssxref("&lt;transform-function&gt;")}}</li>
+</ul>