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<!DOCTYPE html><html lang="en-US"><head><title>Unity Cookbook. Transform class</title><meta property="og:title" content="Unity Cookbook. 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/*!
* Marp default theme.
*
* @theme default
* @author Yuki Hattori
*
* @auto-scaling true
* @size 16:9 1280px 720px
* @size 4:3 960px 720px
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.pl-sg{color:var(--color-prettylights-syntax-sublimelinter-gutter-mark)}div#\:\$p>svg>foreignObject>section .pl-corl{color:var(--color-prettylights-syntax-constant-other-reference-link);text-decoration:underline}div#\:\$p>svg>foreignObject>section g-emoji{display:inline-block;font-family:Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol;font-size:1em;font-style:normal!important;font-weight:var(--base-text-weight-normal,400);line-height:1;min-width:1ch;vertical-align:-.075em}div#\:\$p>svg>foreignObject>section g-emoji img{height:1em;width:1em}div#\:\$p>svg>foreignObject>section .task-list-item{list-style-type:none}div#\:\$p>svg>foreignObject>section .task-list-item label{font-weight:var(--base-text-weight-normal,400)}div#\:\$p>svg>foreignObject>section .task-list-item.enabled label{cursor:pointer}div#\:\$p>svg>foreignObject>section .task-list-item+.task-list-item{margin-top:4px}div#\:\$p>svg>foreignObject>section .task-list-item .handle{display:none}div#\:\$p>svg>foreignObject>section .task-list-item-checkbox{margin:0 .2em .25em -1.4em;vertical-align:middle}div#\:\$p>svg>foreignObject>section .contains-task-list:dir(rtl) .task-list-item-checkbox{margin:0 -1.6em .25em .2em}div#\:\$p>svg>foreignObject>section .contains-task-list{position:relative}div#\:\$p>svg>foreignObject>section .contains-task-list:focus-within .task-list-item-convert-container,div#\:\$p>svg>foreignObject>section .contains-task-list:hover .task-list-item-convert-container{clip:auto;display:block;height:24px;overflow:visible;width:auto}div#\:\$p>svg>foreignObject>section ::-webkit-calendar-picker-indicator{filter:invert(50%)}div#\:\$p>svg>foreignObject>section :is(h1,marp-h1){color:var(--h1-color);font-size:1.6em}div#\:\$p>svg>foreignObject>section :is(h1,marp-h1),div#\:\$p>svg>foreignObject>section :is(h2,marp-h2){border-bottom:none}div#\:\$p>svg>foreignObject>section :is(h2,marp-h2){font-size:1.3em}div#\:\$p>svg>foreignObject>section :is(h3,marp-h3){font-size:1.1em}div#\:\$p>svg>foreignObject>section :is(h4,marp-h4){font-size:1.05em}div#\:\$p>svg>foreignObject>section :is(h5,marp-h5){font-size:1em}div#\:\$p>svg>foreignObject>section :is(h6,marp-h6){font-size:.9em}div#\:\$p>svg>foreignObject>section :is(h1,marp-h1) strong,div#\:\$p>svg>foreignObject>section :is(h2,marp-h2) strong,div#\:\$p>svg>foreignObject>section :is(h3,marp-h3) strong,div#\:\$p>svg>foreignObject>section :is(h4,marp-h4) strong,div#\:\$p>svg>foreignObject>section :is(h5,marp-h5) strong,div#\:\$p>svg>foreignObject>section :is(h6,marp-h6) strong{color:var(--heading-strong-color);font-weight:inherit}div#\:\$p>svg>foreignObject>section :is(h1,marp-h1)::part(auto-scaling),div#\:\$p>svg>foreignObject>section :is(h2,marp-h2)::part(auto-scaling),div#\:\$p>svg>foreignObject>section :is(h3,marp-h3)::part(auto-scaling),div#\:\$p>svg>foreignObject>section :is(h4,marp-h4)::part(auto-scaling),div#\:\$p>svg>foreignObject>section 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:is(pre,marp-pre) :where(.hljs-type),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-variable.language_){color:var(--color-prettylights-syntax-keyword)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-title),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-title.class_),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-title.class_.inherited__),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-title.function_){color:var(--color-prettylights-syntax-entity)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-attr),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-attribute),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-literal),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-meta),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-number),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-operator),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-selector-attr),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-selector-class),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-selector-id),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-variable){color:var(--color-prettylights-syntax-constant)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-meta .hljs-string),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-regexp),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-string){color:var(--color-prettylights-syntax-string)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-built_in),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-symbol){color:var(--color-prettylights-syntax-variable)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-code),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-comment),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-formula){color:var(--color-prettylights-syntax-comment)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-name),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-quote),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-selector-pseudo),div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-selector-tag){color:var(--color-prettylights-syntax-entity-tag)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-subst){color:var(--color-prettylights-syntax-storage-modifier-import)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-section){color:var(--color-prettylights-syntax-markup-heading);font-weight:700}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-bullet){color:var(--color-prettylights-syntax-markup-list)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-emphasis){color:var(--color-prettylights-syntax-markup-italic);font-style:italic}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-strong){color:var(--color-prettylights-syntax-markup-bold);font-weight:700}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-addition){background-color:var(--color-prettylights-syntax-markup-inserted-bg);color:var(--color-prettylights-syntax-markup-inserted-text)}div#\:\$p>svg>foreignObject>section :is(pre,marp-pre) :where(.hljs-deletion){background-color:var(--color-prettylights-syntax-markup-deleted-bg);color:var(--color-prettylights-syntax-markup-deleted-text)}div#\:\$p>svg>foreignObject>section footer,div#\:\$p>svg>foreignObject>section header{color:var(--header-footer-color);font-size:18px;left:30px;margin:0;position:absolute}div#\:\$p>svg>foreignObject>section header{top:21px}div#\:\$p>svg>foreignObject>section footer{bottom:21px}div#\:\$p>svg>foreignObject>section{--h1-color:#246;--header-footer-color:hsla(0,0%,40%,.75);--heading-strong-color:#48c;--paginate-color:#777;align-items:stretch;display:flex;flex-flow:column nowrap;font-size:29px;height:720px;justify-content:center;padding:78.5px;width:1280px}div#\:\$p>svg>foreignObject>section{--marpit-root-font-size:29px}div#\:\$p>svg>foreignObject>section:where(.invert){--h1-color:#cee7ff;--header-footer-color:hsla(0,0%,60%,.75);--heading-strong-color:#7bf;--paginate-color:#999}div#\:\$p>svg>foreignObject>section>:last-child,div#\:\$p>svg>foreignObject>section[data-footer]>:nth-last-child(2){margin-bottom:0}div#\:\$p>svg>foreignObject>section>:first-child,div#\:\$p>svg>foreignObject>section>header:first-child+*{margin-top:0}div#\:\$p>svg>foreignObject>section:after{bottom:21px;color:var(--paginate-color);font-size:24px;padding:0;position:absolute;right:30px}div#\:\$p>svg>foreignObject>section:after{--marpit-root-font-size:24px}div#\:\$p>svg>foreignObject>section[data-color] :is(h1,marp-h1),div#\:\$p>svg>foreignObject>section[data-color] :is(h2,marp-h2),div#\:\$p>svg>foreignObject>section[data-color] :is(h3,marp-h3),div#\:\$p>svg>foreignObject>section[data-color] :is(h4,marp-h4),div#\:\$p>svg>foreignObject>section[data-color] :is(h5,marp-h5),div#\:\$p>svg>foreignObject>section[data-color] :is(h6,marp-h6){color:currentcolor}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background]{columns:initial!important;display:block!important;padding:0!important}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background]:after,div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background]:before,div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=content]:after,div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=content]:before{display:none!important}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container]{all:initial;display:flex;flex-direction:row;height:100%;overflow:hidden;width:100%}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container][data-marpit-advanced-background-direction=vertical]{flex-direction:column}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background][data-marpit-advanced-background-split]>div[data-marpit-advanced-background-container]{width:var(--marpit-advanced-background-split,50%)}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background][data-marpit-advanced-background-split=right]>div[data-marpit-advanced-background-container]{margin-left:calc(100% - var(--marpit-advanced-background-split, 50%))}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container]>figure{all:initial;background-position:center;background-repeat:no-repeat;background-size:cover;flex:auto;margin:0}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=background]>div[data-marpit-advanced-background-container]>figure>figcaption{position:absolute;border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;white-space:nowrap;width:1px}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=content],div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=pseudo]{background:transparent!important}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background=pseudo],div#\:\$p>svg[data-marpit-svg]>foreignObject[data-marpit-advanced-background=pseudo]{pointer-events:none!important}div#\:\$p>svg>foreignObject>section[data-marpit-advanced-background-split]{width:100%;height:100%}</style></head><body><div class="bespoke-marp-osc"><button data-bespoke-marp-osc="prev" tabindex="-1" title="Previous slide">Previous slide</button><span data-bespoke-marp-osc="page"></span><button data-bespoke-marp-osc="next" tabindex="-1" title="Next slide">Next slide</button><button data-bespoke-marp-osc="fullscreen" tabindex="-1" title="Toggle fullscreen (f)">Toggle fullscreen</button><button data-bespoke-marp-osc="presenter" tabindex="-1" title="Open presenter view (p)">Open presenter view</button></div><div id=":$p"><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="1" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="1" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<h1 id="transform-class">Transform class</h1>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="2" data-marpit-fragments="7" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="2" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<h2 id="transform">Transform</h2>
<ul>
<li data-marpit-fragment="1"><a href="https://docs.unity3d.com/ScriptReference/Transform.html">Script Reference: Transform</a></li>
<li data-marpit-fragment="2"><a href="https://docs.unity3d.com/Manual/class-Transform.html">Manual: Transform</a></li>
<li data-marpit-fragment="3"><a href="https://docs.unity3d.com/Manual/ScriptingTransform.html">Important classes: Transform</a></li>
<li data-marpit-fragment="4">The GameObject's <em><strong>position</strong></em>, <em><strong>rotation</strong></em> and <em><strong>scale</strong></em> can be manipulated via its <em><strong>Transform</strong></em> component
<ul>
<li data-marpit-fragment="5">either by using the included methods, or by directly manipulating properties</li>
<li data-marpit-fragment="6">Properties are either <em><strong>global</strong></em> or <em><strong>local</strong></em>: e.g., <code>position</code> vs <code>localPosition</code></li>
<li data-marpit-fragment="7">Local coordinates are with respect to the GameObject's <em><strong>parent</strong></em></li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="3" data-marpit-fragments="6" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="3" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<h3 id="translation">Translation</h3>
<ul>
<li data-marpit-fragment="1">Translation properties (can be directly changed):
<ul>
<li data-marpit-fragment="2"><code>transform.position</code></li>
<li data-marpit-fragment="3"><code>transform.localPosition</code></li>
</ul>
</li>
<li data-marpit-fragment="4">Translation (movement) methods:
<ul>
<li data-marpit-fragment="5"><a href="https://docs.unity3d.com/ScriptReference/Transform.Translate.html"><code>transform.Translate()</code></a><pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#"><span class="hljs-built_in">float</span> moveSpeed = <span class="hljs-number">3.0f</span>;
<span class="hljs-keyword">if</span>(Input.GetKey(KeyCode.UpArrow))
transform.Translate(Vector3.forward * moveSpeed * Time.deltaTime);
<span class="hljs-keyword">if</span>(Input.GetKey(KeyCode.DownArrow))
transform.Translate(-Vector3.forward * moveSpeed * Time.deltaTime);
</code></pre>
</li>
<li data-marpit-fragment="6"><em><strong>Note:</strong></em> Translating happens by default according to GameObject's local coordinate system</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="4" data-marpit-fragments="9" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="4" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<h3 id="rotation">Rotation</h3>
<ul>
<li data-marpit-fragment="1"><a href="https://docs.unity3d.com/Manual/QuaternionAndEulerRotationsInUnity.html">Manual: Rotation and orientation in Unity</a></li>
<li data-marpit-fragment="2">The rotation of a transform visible in the inspector is shown as <em><strong>Euler angles</strong></em>
<ul>
<li data-marpit-fragment="3">Secretly, Unity uses <em><strong>Quaternions</strong></em> to store the rotation of a transform</li>
<li data-marpit-fragment="4">Both are available in code</li>
</ul>
</li>
<li data-marpit-fragment="5">Rotation properties:
<ul>
<li data-marpit-fragment="6"><code>transform.rotation</code>, global rotation as a Quaternion</li>
<li data-marpit-fragment="7"><code>transform.localRotation</code>, local rotation as a Quaternion</li>
<li data-marpit-fragment="8"><code>transform.eulerAngles</code>, global rotation as Euler angles (Vector3)</li>
<li data-marpit-fragment="9"><code>transform.localEulerAngles</code>, local rotation as Euler angles (Vector3)</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="5" data-marpit-fragments="4" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="5" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<ul>
<li data-marpit-fragment="1">Rotation methods:
<ul>
<li data-marpit-fragment="2">
<p><a href="https://docs.unity3d.com/ScriptReference/Transform.RotateAround.html"><code>transform.RotateAround()</code></a></p>
</li>
<li data-marpit-fragment="3">
<p><a href="https://docs.unity3d.com/ScriptReference/Transform.LookAt.html"><code>transform.LookAt()</code></a></p>
</li>
<li data-marpit-fragment="4">
<p><a href="https://docs.unity3d.com/ScriptReference/Transform.Rotate.html"><code>transform.Rotate()</code></a> (multiple variants available)</p>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#"><span class="hljs-keyword">if</span>(Input.GetKey(KeyCode.LeftArrow))
transform.Rotate(Vector3.up, -turnSpeed * Time.deltaTime);
<span class="hljs-keyword">if</span>(Input.GetKey(KeyCode.RightArrow))
transform.Rotate(Vector3.up, turnSpeed * Time.deltaTime);
</code></pre>
</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="6" data-marpit-fragments="7" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="6" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<h3 id="scale">Scale</h3>
<ul>
<li data-marpit-fragment="1"><em>There are no methods for changing scale.</em></li>
<li data-marpit-fragment="2">Scale properties:
<ul>
<li data-marpit-fragment="3"><code>transform.localScale</code>
<ul>
<li data-marpit-fragment="4"><a href="https://docs.unity3d.com/ScriptReference/Transform-localScale.html">Script Reference: localScale</a></li>
</ul>
</li>
<li data-marpit-fragment="5"><code>transform.lossyScale</code>
<ul>
<li data-marpit-fragment="6">Read-only!</li>
<li data-marpit-fragment="7"><a href="https://docs.unity3d.com/ScriptReference/Transform-lossyScale.html">Script Reference: lossyScale</a></li>
</ul>
</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="7" data-marpit-fragments="3" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="7" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<h2 id="local-axes">Local axes</h2>
<ul>
<li data-marpit-fragment="1"><code>transform.up</code>, <code>transform.right</code> and <code>transform.forward</code> refer to the <em><strong>local axes</strong></em> of the GameObject: green, red and blue, respectively
<ul>
<li data-marpit-fragment="2">Global versions are <code>Vector3.up</code>, <code>Vector3.right</code> and <code>Vector3.forward</code></li>
</ul>
</li>
<li data-marpit-fragment="3">You can use them to e.g., rotate the GameObject around these axes:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#"><span class="hljs-keyword">if</span> (Input.GetKey(KeyCode.LeftAlt))
transform.RotateAround(
transform.position, <span class="hljs-comment">// rotates along the GameObject's origin point...</span>
transform.right, <span class="hljs-comment">// around the GameObject's red axis... </span>
<span class="hljs-number">180</span> * Time.deltaTime <span class="hljs-comment">// with a rate of 180 degrees per second.</span>
);
</code></pre>
</li>
</ul>
</section>
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<h2 id="exercise-1">Exercise 1.</h2>
<p>Make a child GameObject rotate around its parent.</p>
</section>
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<h2 id="extra-how-to-rotate-something-by-x-degrees">Extra: How to rotate something by x degrees</h2>
<ul>
<li data-marpit-fragment="1">In a mishmash of vectors, rotations and transforms, it can be difficult to see what to do when trying to apply rotations!
<ul>
<li data-marpit-fragment="2">Let's say, we want to rotate something around the global <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container> axis by <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.05ex;" xmlns="http://www.w3.org/2000/svg" width="3.394ex" height="1.667ex" role="img" focusable="false" viewBox="0 -715 1500 737"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mn"><path data-c="33" d="M127 463Q100 463 85 480T69 524Q69 579 117 622T233 665Q268 665 277 664Q351 652 390 611T430 522Q430 470 396 421T302 350L299 348Q299 347 308 345T337 336T375 315Q457 262 457 175Q457 96 395 37T238 -22Q158 -22 100 21T42 130Q42 158 60 175T105 193Q133 193 151 175T169 130Q169 119 166 110T159 94T148 82T136 74T126 70T118 67L114 66Q165 21 238 21Q293 21 321 74Q338 107 338 175V195Q338 290 274 322Q259 328 213 329L171 330L168 332Q166 335 166 348Q166 366 174 366Q202 366 232 371Q266 376 294 413T322 525V533Q322 590 287 612Q265 626 240 626Q208 626 181 615T143 592T132 580H135Q138 579 143 578T153 573T165 566T175 555T183 540T186 520Q186 498 172 481T127 463Z"></path><path data-c="30" d="M96 585Q152 666 249 666Q297 666 345 640T423 548Q460 465 460 320Q460 165 417 83Q397 41 362 16T301 -15T250 -22Q224 -22 198 -16T137 16T82 83Q39 165 39 320Q39 494 96 585ZM321 597Q291 629 250 629Q208 629 178 597Q153 571 145 525T137 333Q137 175 145 125T181 46Q209 16 250 16Q290 16 318 46Q347 76 354 130T362 333Q362 478 354 524T321 597Z" transform="translate(500,0)"></path></g><g data-mml-node="mi" class=" MathML-Unit" transform="translate(1000,0)"><path data-c="B0" d="M147 628Q147 669 179 692T244 715Q298 715 325 689T352 629Q352 592 323 567T249 542Q202 542 175 567T147 628ZM313 628Q313 660 300 669T259 678H253Q248 678 242 678T234 679Q217 679 207 674T192 659T188 644T187 629Q187 600 198 590Q210 579 250 579H265Q279 579 288 581T305 595T313 628Z"></path></g></g></g></svg></mjx-container>.</li>
</ul>
</li>
<li data-marpit-fragment="3">First, create a new rotation with <code>Quaternion.Euler</code>:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">Quaternion newRotation = Quaternion.Euler(<span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">30</span>);
</code></pre>
</li>
<li data-marpit-fragment="4">Then, we use it to rotate whatever we need to rotate...</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="10" data-marpit-fragments="4" data-paginate="true" data-class="invert" data-background-color="#5d275d" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="10" style="--paginate:true;--class:invert;--background-color:#5d275d;--heading-divider:3;background-color:#5d275d;background-image:none;" data-marpit-pagination-total="16">
<ul>
<li data-marpit-fragment="1">To rotate a <em><strong>Vector3</strong></em> by a Quaternion:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">Vector3 newVector = newRotation * oldVector;
</code></pre>
</li>
<li data-marpit-fragment="2">To rotate a <em><strong>Quaternion</strong></em> by a Quaternion:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">Quaternion newQuaternion = newRotation * oldQuaternion;
</code></pre>
<ul>
<li data-marpit-fragment="3">We can use this technique to rotate a <em><strong>Transform</strong></em> by a Quaternion:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">transform.rotation = newRotation * transform.rotation;
</code></pre>
</li>
</ul>
</li>
<li data-marpit-fragment="4"><em><strong>Note:</strong></em> We do not need a Quaternion to rotate a transform. We can just apply the rotation with<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">transform.Rotate(<span class="hljs-number">0</span>, <span class="hljs-number">0</span>, <span class="hljs-number">30</span>);
</code></pre>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="11" data-marpit-fragments="3" data-paginate="true" data-class="invert" data-background-color="#5d275d" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="11" style="--paginate:true;--class:invert;--background-color:#5d275d;--heading-divider:3;background-color:#5d275d;background-image:none;" data-marpit-pagination-total="16">
<h2 id="extra-how-to-look-instantly-towards-a-point-3d">Extra: How to look instantly towards a point (3D)</h2>
<ul>
<li data-marpit-fragment="1">What if we don't know how many degrees we want to rotate something by, but instead want to rotate something so that it <em><strong>points</strong></em> to a given direction (vector)?</li>
<li data-marpit-fragment="2">To rotate to a direction given by another <em><strong>Transform</strong></em>, use the previously mentioned <a href="https://docs.unity3d.com/ScriptReference/Transform.LookAt.html">Transform.LookAt</a> method:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">transform.LookAt(otherGameObject.transform);
</code></pre>
</li>
<li data-marpit-fragment="3">To rotate to a direction given by another <em><strong>vector</strong></em>, use <a href="https://docs.unity3d.com/ScriptReference/Quaternion.LookRotation.html">Quaternion.LookRotation</a>:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">transform.rotation = Quaternion.LookRotation(vector);
</code></pre>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="12" data-marpit-fragments="1" data-paginate="true" data-class="invert" data-background-color="#5d275d" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="12" style="--paginate:true;--class:invert;--background-color:#5d275d;--heading-divider:3;background-color:#5d275d;background-image:none;" data-marpit-pagination-total="16">
<p>There's also <a href="https://docs.unity3d.com/ScriptReference/Quaternion.FromToRotation.html">Quaternion.FromToRotation</a> for rotating a vector to align another vector</p>
<ul>
<li data-marpit-fragment="1">E.g., here's how to sets the the transform's <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.464ex;" xmlns="http://www.w3.org/2000/svg" width="1.109ex" height="1.464ex" role="img" focusable="false" viewBox="0 -442 490 647"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D466" d="M21 287Q21 301 36 335T84 406T158 442Q199 442 224 419T250 355Q248 336 247 334Q247 331 231 288T198 191T182 105Q182 62 196 45T238 27Q261 27 281 38T312 61T339 94Q339 95 344 114T358 173T377 247Q415 397 419 404Q432 431 462 431Q475 431 483 424T494 412T496 403Q496 390 447 193T391 -23Q363 -106 294 -155T156 -205Q111 -205 77 -183T43 -117Q43 -95 50 -80T69 -58T89 -48T106 -45Q150 -45 150 -87Q150 -107 138 -122T115 -142T102 -147L99 -148Q101 -153 118 -160T152 -167H160Q177 -167 186 -165Q219 -156 247 -127T290 -65T313 -9T321 21L315 17Q309 13 296 6T270 -6Q250 -11 231 -11Q185 -11 150 11T104 82Q103 89 103 113Q103 170 138 262T173 379Q173 380 173 381Q173 390 173 393T169 400T158 404H154Q131 404 112 385T82 344T65 302T57 280Q55 278 41 278H27Q21 284 21 287Z"></path></g></g></g></svg></mjx-container>-axis (transform.up) to go along the directionVector<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">transform.rotation = Quaternion.FromToRotation(transform.up, directionVector);
</code></pre>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="13" data-marpit-fragments="2" data-paginate="true" data-class="invert" data-background-color="#5d275d" data-footer="https://forum.unity.com/threads/look-rotation-2d-equivalent.611044/" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="13" style="--paginate:true;--class:invert;--background-color:#5d275d;--footer:https://forum.unity.com/threads/look-rotation-2d-equivalent.611044/;--heading-divider:3;background-color:#5d275d;background-image:none;" data-marpit-pagination-total="16">
<h2 id="extra-how-to-look-slowly-towards-a-point-3d">Extra: How to look slowly towards a point (3D)</h2>
<p>To <em><strong>slowly</strong></em> rotate towards a target, there are two methods available:</p>
<ul>
<li data-marpit-fragment="1">If you need to manipulate position vectors: <a href="https://docs.unity3d.com/ScriptReference/Vector3.RotateTowards.html">Vector3.RotateTowards</a></li>
<li data-marpit-fragment="2">If you need to manipulate rotation quaternions: <a href="https://docs.unity3d.com/ScriptReference/Quaternion.RotateTowards.html">Quaternion.RotateTowards</a></li>
</ul>
<footer><a href="https://forum.unity.com/threads/look-rotation-2d-equivalent.611044/">https://forum.unity.com/threads/look-rotation-2d-equivalent.611044/</a></footer>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="14" data-marpit-fragments="3" data-paginate="true" data-class="invert" data-background-color="#5d275d" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="14" style="--paginate:true;--class:invert;--background-color:#5d275d;--heading-divider:3;background-color:#5d275d;background-image:none;" data-marpit-pagination-total="16">
<h2 id="extra-how-to-instantly-look-towards-a-point-2d">Extra: How to instantly look towards a point (2D)</h2>
<ul>
<li data-marpit-fragment="1">The methods described in the previous slide do not (directly) work in 2D</li>
<li data-marpit-fragment="2">Even <code>transform.LookAt(Transform target)</code> does not work, because it aligns the <code>transform.forward</code> axis towards the target, which is the local <mjx-container class="MathJax" jax="SVG"><svg style="vertical-align: -0.025ex;" xmlns="http://www.w3.org/2000/svg" width="1.052ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 465 453"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="scale(1,-1)"><g data-mml-node="math"><g data-mml-node="mi"><path data-c="1D467" d="M347 338Q337 338 294 349T231 360Q211 360 197 356T174 346T162 335T155 324L153 320Q150 317 138 317Q117 317 117 325Q117 330 120 339Q133 378 163 406T229 440Q241 442 246 442Q271 442 291 425T329 392T367 375Q389 375 411 408T434 441Q435 442 449 442H462Q468 436 468 434Q468 430 463 420T449 399T432 377T418 358L411 349Q368 298 275 214T160 106L148 94L163 93Q185 93 227 82T290 71Q328 71 360 90T402 140Q406 149 409 151T424 153Q443 153 443 143Q443 138 442 134Q425 72 376 31T278 -11Q252 -11 232 6T193 40T155 57Q111 57 76 -3Q70 -11 59 -11H54H41Q35 -5 35 -2Q35 13 93 84Q132 129 225 214T340 322Q352 338 347 338Z"></path></g></g></g></svg></mjx-container> axis - the one that points UP in 2D games!</li>
<li data-marpit-fragment="3">Instead, we want to align the <code>transform.right</code> axis towards the target:<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#">transform.right = target.transform.position - transform.position;
</code></pre>
(or if you want to use angles:)<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-c#"><span class="hljs-built_in">float</span> angle = Mathf.Atan2(target.transform.position.y, target.transform.position.x) * Mathf.Rad2Deg;
transform.rotation = Quaternion.Euler(<span class="hljs-keyword">new</span> Vector3(<span class="hljs-number">0</span>, <span class="hljs-number">0</span>, angle));
</code></pre>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="15" data-marpit-fragments="1" data-paginate="true" data-class="invert" data-background-color="#5d275d" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="15" style="--paginate:true;--class:invert;--background-color:#5d275d;--heading-divider:3;background-color:#5d275d;background-image:none;" data-marpit-pagination-total="16">
<h2 id="how-to-slowly-look-towards-a-point-2d">How to slowly look towards a point (2D)</h2>
<ul>
<li data-marpit-fragment="1">uhhhh xx todo</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="16" data-marpit-fragments="4" data-paginate="true" data-class="invert" data-heading-divider="3" lang="en-US" class="invert" data-marpit-pagination="16" style="--paginate:true;--class:invert;--heading-divider:3;" data-marpit-pagination-total="16">
<h2 id="changing-many-values-at-once">Changing many values at once</h2>
<ul>
<li data-marpit-fragment="1">You can select multiple GameObjects at once to edit their transforms values at once</li>
<li data-marpit-fragment="2">You can even set their position, rotation or scale to be a <em><strong>range</strong></em> of values by setting the field to <code>L(lower, upper)</code>
<ul>
<li data-marpit-fragment="3">Other neat ways exist as well. <code>R(lower, upper)</code> sets the values to a <em>random</em> range, and you can multiply all values at once with <code>+=value</code></li>
</ul>
</li>
<li data-marpit-fragment="4">See other numeric field expressions in the <a href="https://docs.unity3d.com/Manual/EditingValueProperties.html">Unity docs</a></li>
</ul>
</section>
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