In lessons about transforming two-dimensional objects, we learned how to use several types of transformations:
- Translation, which involved the translate() function
- Rotation, which involved the rotate() function
- Scaling using scale()
Transformations of 3D objects are the same in terms of their functionality. We only use these three types with a specific syntax for them. To make it easier for the browser, 3d is added to the function name when transforming 3d objects. Thus, we get three functions for three-dimensional elements:
- translate3d() — translation
- rotate3d() — rotation
- scale3d() — scaling
The only transformation missing for the z-axis is skew().
The transform-style property
We need an actual 3D object to demonstrate all these transformations correctly, not just the z-axis. We will use a cube as an example. To create it, you need to use the transform-style property, which takes one of two values:
- The default value flat indicates that the element is on the same plane as its parent. It is how we see elements in most cases and how we saw them in the previous lessons
- The element preserve-3d behaves as if it were in its own three-dimensional space, not in the space of its parent. It means that the elements will be independent of each other. They can pass through each other
It may be a bit confusing at first, but it is easiest to look at both values in the context of the example:
In the left example, the green block is above the red block because the elements are in the same two-dimensional space and depend on each other. No matter how you transform the green block, it cannot interact with the red block because it is in front of it.
In the right example, the preserve-3d value for the red block creates its volume context. Child elements do not just exist side by side. They are in a single three-dimensional space that allows them to pass through each other and move relative to shared axes.
The easiest way to think of it is that flat creates a single two-dimensional space, while preserve-3d creates a three-dimensional space. It adds new possibilities for positioning elements with each other.
Note that the transform-style property is set once for the parent element. Since this property creates the spacing, setting it for the child elements makes no sense.
In the example above, the red element was such a block. It is also important to remember that we are talking about direct descendants. If we add a new object inside the green block, we define the space for it by the flat value.
It is time to explore how the transformations we already know work in three-dimensional space. Let us take the most primitive three-dimensional object, a cube. We made all of its faces translucent to see how they look in 3D.
Now we are looking at the very center point of its front face. It will be the starting position for the transformations we will be doing below. You can also change the starting point using the perspective-origin property. It will have a slight difference:
Translation
We use functions to translate three-dimensional objects:
- translateX()
- translateY()
- translateZ()
And their big brother is translate3d(x, y, z). It simply combines all three functions for easy writing. The following two entries are equivalent:
The translation along the x and y coordinates is obvious. And how does it move along the z-axis? When you change the z-axis position, the browser moves the item closer or further away from its original location. However, if the element moves further away, it gets smaller. If it moves closer, it gets bigger. We can see this effect in the cube. We place the front and back walls of the cube using translateZ().
In the example below, we slightly rotated the cube and removed all edges except the front and back:
The faces have the following properties:
Let us consider how to achieve the cube effect. We moved the front face was moved 150 pixels along the z-axis to get closer to the user.
It had the side effect now: the face is 382×382 pixels instead of the 300×300 pixels specified. As you can understand, these transformations affect the size of elements, which we should consider when embedding transformed objects in ready-made page templates.
The rear side has undergone a similar transformation; we moved it 150 pixels back from its original location. It also changed the size of the square itself — now it is 250×250 pixels.
Note that transforming along the same axis and by the same number of pixels did not cause the elements to get bigger or smaller by the same number of pixels. Here there is a direct correlation between the property, the original dimensions, whether the value was positive or negative, and the value of the perspective. A more complete description, with all formulas and matrices, can be found in the official specification.
If you are not going to do your animations in CSS, you do not need to understand it completely. The main thing is to get the gist of how properties affect elements.
Rotation
The functions offered by the CSS specification replicate similar ones for translation/movement.
We rotate elements using the following functions:
- rotateX() — rotate along the x-axis
- rotateY() — rotate along the y-axis
- rotateZ() — rotate along the z-axis
- rotate3d(x, y, z) — rotate along the x, y and z axes
An easy way to see how elements rotate is to use the cube animation as an example. There is an example for every axis:
Notice how we initially lined up the elements. The example uses three cubes, one above the other, and we can see them as we would in real life:
- The bottom face of the top cube is visible to us because it is above our viewpoint
- The top face of the bottom cube is visible to us for the same reason
That is because we set the perspective in the example on a block, which is common to all these cubes.
In this case, the perspective is set to the <body> tag, so the objects are in the same area relative to each other but at different heights.
Scaling
Unsurprisingly, we use the functions to scale elements in 3D space the same way as in the previous examples:
- scaleX() — scaling along the x-axis
- scaleY() — scaling along the y-axis
- scaleZ() — scaling along the z-axis
- scale3d(x, y, z) — scaling along x, y and z axes
The range of values is the same as in two-dimensional space. If you use values from zero to one, you make the element smaller. The values higher than one make them bigger along one of the axes.
Negative values will flip the element:
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Understand movement, rotation, and scaling along three axes","self_study":"For all the examples in the lesson, use different property values:\n\n* `perspective`\n* `perspective-origin`\n\nSee how 3D objects react to changes in these properties along with transformations. Try some transformations. For example, rotate and move. You can use these properties not only for the entire cube but also for each face separately.\n","theory_video_provider":null,"theory_video_uid":null,"theory":"In lessons about transforming two-dimensional objects, we learned how to use several types of transformations:\n\n* Translation, which involved the `translate()` function\n* Rotation, which involved the `rotate()` function\n* Scaling using `scale()`\n\nTransformations of 3D objects are the same in terms of their functionality. We only use these three types with a specific syntax for them. To make it easier for the browser, 3d is added to the function name when transforming `3d` objects. Thus, we get three functions for three-dimensional elements:\n\n* `translate3d()` — translation\n* `rotate3d()` — rotation\n* `scale3d()` — scaling\n\nThe only transformation missing for the `z-axis` is `skew()`.\n\n## The `transform-style` property\n\nWe need an actual 3D object to demonstrate all these transformations correctly, not just the `z-axis`. We will use a cube as an example. To create it, you need to use the `transform-style` property, which takes one of two values:\n\n* The default value `flat` indicates that the element is on the same plane as its parent. It is how we see elements in most cases and how we saw them in the previous lessons\n* The element `preserve-3d` behaves as if it were in its own three-dimensional space, not in the space of its parent. It means that the elements will be independent of each other. They can pass through each other\n\nIt may be a bit confusing at first, but it is easiest to look at both values in the context of the example:\n\n<iframe height=\"530\" style=\"width: 100%;\" scrolling=\"no\" title=\"css_transform_course_perspective-origin\" src=\"https://codepen.io/hexlet/embed/abwPYMr?default-tab=result&editable=true\" frameborder=\"no\" loading=\"lazy\" allowtransparency=\"true\" allowfullscreen=\"true\">\n See the Pen <a href=\"https://codepen.io/hexlet/pen/abwPYMr\">\n css_transform_course_perspective-origin</a> by Hexlet (<a href=\"https://codepen.io/hexlet\">@hexlet</a>)\n on <a href=\"https://codepen.io\">CodePen</a>.\n</iframe>\n\nIn the left example, the green block is above the red block because the elements are in the same two-dimensional space and depend on each other. No matter how you transform the green block, it cannot interact with the red block because it is in front of it.\n\nIn the right example, the `preserve-3d` value for the red block creates its volume context. Child elements do not just exist side by side. They are in a single three-dimensional space that allows them to pass through each other and move relative to shared axes.\n\nThe easiest way to think of it is that `flat` creates a single two-dimensional space, while `preserve-3d` creates a three-dimensional space. It adds new possibilities for positioning elements with each other.\n\nNote that the `transform-style` property is set once for the parent element. Since this property creates the spacing, setting it for the child elements makes no sense.\n\nIn the example above, the red element was such a block. It is also important to remember that we are talking about direct descendants. If we add a new object inside the green block, we define the space for it by the `flat` value.\n\nIt is time to explore how the transformations we already know work in three-dimensional space. Let us take the most primitive three-dimensional object, a cube. We made all of its faces translucent to see how they look in 3D.\n\nNow we are looking at the very center point of its front face. It will be the starting position for the transformations we will be doing below. You can also change the starting point using the `perspective-origin` property. It will have a slight difference:\n\n<iframe height=\"617\" style=\"width: 100%;\" scrolling=\"no\" title=\"css_transform_course_3d_object\" src=\"https://codepen.io/hexlet/embed/mdwYxEL?default-tab=result&editable=true\" frameborder=\"no\" loading=\"lazy\" allowtransparency=\"true\" allowfullscreen=\"true\">\n See the Pen <a href=\"https://codepen.io/hexlet/pen/mdwYxEL\">\n css_transform_course_3d_object</a> by Hexlet (<a href=\"https://codepen.io/hexlet\">@hexlet</a>)\n on <a href=\"https://codepen.io\">CodePen</a>.\n</iframe>\n\n## Translation\n\nWe use functions to translate three-dimensional objects:\n\n* `translateX()`\n* `translateY()`\n* `translateZ()`\n\nAnd their big brother is `translate3d(x, y, z)`. It simply combines all three functions for easy writing. The following two entries are equivalent:\n\n```css\n.block {\n transform: translateX(10px) translateY(10px) translateZ(10px);\n transform: translate3d(10px, 10px, 10px);\n}\n```\n\nThe translation along the `x` and `y` coordinates is obvious. And how does it move along the z-axis? When you change the z-axis position, the browser moves the item closer or further away from its original location. However, if the element moves further away, it gets smaller. If it moves closer, it gets bigger. We can see this effect in the cube. We place the front and back walls of the cube using `translateZ()`.\n\nIn the example below, we slightly rotated the cube and removed all edges except the front and back:\n\n<iframe height=\"616\" style=\"width: 100%;\" scrolling=\"no\" title=\"css_transform_course_3d_object\" src=\"https://codepen.io/hexlet/embed/QWgRZKQ?default-tab=result&editable=true\" frameborder=\"no\" loading=\"lazy\" allowtransparency=\"true\" allowfullscreen=\"true\">\n See the Pen <a href=\"https://codepen.io/hexlet/pen/QWgRZKQ\">\n css_transform_course_3d_object</a> by Hexlet (<a href=\"https://codepen.io/hexlet\">@hexlet</a>)\n on <a href=\"https://codepen.io\">CodePen</a>.\n</iframe>\n\nThe faces have the following properties:\n\n```css\n.front {\n transform: translateZ(150px);\n}\n\n.back {\n transform: translateZ(-150px);\n}\n```\n\nLet us consider how to achieve the cube effect. We moved the front face was moved 150 pixels along the `z-axis` to get closer to the user.\n\nIt had the side effect now: the face is 382×382 pixels instead of the 300×300 pixels specified. As you can understand, these transformations affect the size of elements, which we should consider when embedding transformed objects in ready-made page templates.\n\nThe rear side has undergone a similar transformation; we moved it 150 pixels back from its original location. It also changed the size of the square itself — now it is 250×250 pixels.\n\nNote that transforming along the same axis and by the same number of pixels did not cause the elements to get bigger or smaller by the same number of pixels. Here there is a direct correlation between the property, the original dimensions, whether the value was positive or negative, and the value of the perspective. A more complete description, with all formulas and matrices, can be found in the official specification.\n\nIf you are not going to do your animations in CSS, you do not need to understand it completely. The main thing is to get the gist of how properties affect elements.\n\n## Rotation\n\nThe functions offered by the CSS specification replicate similar ones for translation/movement.\n\nWe rotate elements using the following functions:\n\n* `rotateX()` — rotate along the `x-axis`\n* `rotateY()` — rotate along the `y-axis`\n* `rotateZ()` — rotate along the `z-axis`\n* `rotate3d(x, y, z)` — rotate along the `x`, `y` and `z` axes\n\nAn easy way to see how elements rotate is to use the cube animation as an example. There is an example for every axis:\n\n<iframe height=\"1042\" style=\"width: 100%;\" scrolling=\"no\" title=\"css_transform_course_3d_object\" src=\"https://codepen.io/hexlet/embed/MWodPdM?default-tab=result&editable=true\" frameborder=\"no\" loading=\"lazy\" allowtransparency=\"true\" allowfullscreen=\"true\">\n See the Pen <a href=\"https://codepen.io/hexlet/pen/MWodPdM\">\n css_transform_course_3d_object</a> by Hexlet (<a href=\"https://codepen.io/hexlet\">@hexlet</a>)\n on <a href=\"https://codepen.io\">CodePen</a>.\n</iframe>\n\nNotice how we initially lined up the elements. The example uses three cubes, one above the other, and we can see them as we would in real life:\n\n* The bottom face of the top cube is visible to us because it is above our viewpoint\n* The top face of the bottom cube is visible to us for the same reason\n\nThat is because we set the perspective in the example on a block, which is common to all these cubes.\n\nIn this case, the perspective is set to the `<body>` tag, so the objects are in the same area relative to each other but at different heights.\n\n## Scaling\n\nUnsurprisingly, we use the functions to scale elements in 3D space the same way as in the previous examples:\n\n* `scaleX()` — scaling along the `x-axis`\n* `scaleY()` — scaling along the `y-axis`\n* `scaleZ()` — scaling along the `z-axis`\n* `scale3d(x, y, z)` — scaling along `x`, `y` and `z` axes\n\nThe range of values is the same as in two-dimensional space. If you use values from zero to one, you make the element smaller. The values higher than one make them bigger along one of the axes.\n\nNegative values will flip the element:\n\n<iframe height=\"1013\" style=\"width: 100%;\" scrolling=\"no\" title=\"css_transform_course_rotate3d\" src=\"https://codepen.io/hexlet/embed/abwrQqW?default-tab=result&editable=true\" frameborder=\"no\" loading=\"lazy\" allowtransparency=\"true\" allowfullscreen=\"true\">\n See the Pen <a href=\"https://codepen.io/hexlet/pen/abwrQqW\">\n css_transform_course_rotate3d</a> by Hexlet (<a href=\"https://codepen.io/hexlet\">@hexlet</a>)\n on <a href=\"https://codepen.io\">CodePen</a>.\n</iframe>\n"},"lessonMember":null,"courseMember":null,"course":{"start_lesson":{"exercise":null,"units":[{"id":8082,"name":"theory","url":"/courses/css-transform/lessons/intro/theory_unit"}],"links":[],"ordered_units":[{"id":8082,"name":"theory","url":"/courses/css-transform/lessons/intro/theory_unit"}],"id":3617,"slug":"intro","state":"approved","name":"Introduction","course_order":100,"goal":"Learning about the course's topics and their application in practice","self_study":null,"theory_video_provider":null,"theory_video_uid":null,"theory":"Transformations using CSS are a feature that came with the arrival of the CSS3 standard. Using them allows you to move, rotate, and distort elements. Both in 2D and 3D. It is a whole new facet for working with pages visuals-wise.\n\nTransformations are a basis for creating animations of all types, from small interface animations to complex multi-stage animations.\n\nAs you take the course, you will learn about the following topics:\n\n* 2D and 3D coordinate systems and how they work in browsers\n* Moving, rotating, and distorting objects in a 2D coordinate system\n* Creating 3D objects\n* The concept of perspective and point of view on a given object\n* Creating a pseudo-3D effect\n* Creating the reverse side of a three-dimensional object\n* Using matrices in transformation\n\n## Practice\n\nMany of the lessons in this course will include a practice section with a web view. It is a great idea to do more than the bare minimum. Once you completed a task, try experimenting with the code and the features you learned.\n\nPractice segments here are on screenshot testing. Unlike other courses, this one does not check the values you specify but takes a screenshot of the page with your styles and compares it to the screenshots from the teacher solution. You can easily see how the page should look at different viewport resolutions.\n\nYou can see screenshots of the styles from the teacher solution in the directory \\_\\_tests__/__image_snapshots\\_\\_.\n\nPractice tasks are checked by comparing screenshots. Each exercise contains a reference solution from which the screenshot comes. After you click the Check button, the tests will automatically take a screenshot of your solution and overlay it on the reference image. The tests give an error if the images differ by more than 7%. There are two kinds of errors:\n\n* `Expected the image to be the same size as the snapshot (1280x863), but it was different`. The system tells you that the image sizes do not match. Most likely, there's a problem with the indentation/height or line spacing\n* `Expected image to match or be a close match to snapshot but was different from snapshot`. The screenshots are the same size, but there are inconsistencies between the images. The permissible threshold is 7%\n\nIf you have one of these errors, the system will automatically generate a screenshot. You can find it in `/__tests__/__image_snapshots__/__diff_output__/`. You can navigate to this directory using the left panel inside the exercise.\n\nThe screenshot consists of three parts:\n\n1. On the left is the reference image\n2. On the right is the image with your solution\n3. The center is the result of the overlay. The areas that don't match are highlighted in red. In time, you'll learn to read the test result more quickly\n\n\n\nLook at the spot highlighted in red. It's smaller in the left image than in the right one.\n\nTherefore, when the images were superimposed, there were some differences. This difference affects the position of the other elements. So always move from the top to the bottom of the image. It is possible that fixing one error will fix all the others.\n\n### CodePen\n\nAnother opportunity to apply the skills learned in the course is to use the [CodePen](https://codepen.io) service. You can create your own **pen** and experiment with properties.\n\nAdditionally, there are examples loaded from **CodePen** in each lesson. They're available for review, and you can make edits in real-time and monitor the result. Don't miss out on this opportunity.\n\nDon't forget to practice. Your content skills will allow you to quickly and skillfully design all the content on a page or app.\n"},"id":345,"slug":"css-transform","challenges_count":1,"name":"CSS: Transform (Transform objects)","allow_indexing":true,"state":"approved","course_state":"finished","pricing_type":"paid","description":"This course is about transforming objects on a page using CSS Transforms Module Level 1 and CSS Transforms Module Level 2. Using transforms allows you to create effects on the page, from small visual changes to multi-step complex animations.","kind":"additional","updated_at":"2026-01-20T11:44:13.611Z","language":"html","duration_cache":22080,"skills":["Rotate, move, and distort two-dimensional objects on the page","Create a pseudo-three-dimensional effect using transformations","Transform flat objects into volumetric ones by adding a new axis for them","Use Transformations for three-dimensional objects","Create perspective and control the point of view of the object","Define a transformation point on an 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__m__-_R_rdub_"><style data-mantine-styles="inline">.__m__-_R_6qrdub_{margin-top:0rem;padding-inline:var(--mantine-spacing-xs);width:100%;}@media(min-width: 48em){.__m__-_R_6qrdub_{margin-top:var(--mantine-spacing-xl);width:80%;}}@media(min-width: 62em){.__m__-_R_6qrdub_{padding-inline:var(--mantine-spacing-xl);}}</style><div style="margin-inline:auto;max-width:var(--mantine-breakpoint-xl)" class="__m__-_R_6qrdub_"><div style="color:var(--mantine-color-dimmed)" class="m_4451eb3a mantine-Center-root" data-inline="true"><div style="--ti-size:var(--ti-size-xs);--ti-bg:transparent;--ti-color:var(--mantine-color-indigo-light-color);--ti-bd:calc(0.0625rem * var(--mantine-scale)) solid transparent;margin-inline-end:calc(0.125rem * var(--mantine-scale));color:inherit" class="m_7341320d mantine-ThemeIcon-root" data-variant="transparent" data-size="xs"><svg xmlns="http://www.w3.org/2000/svg" width="24" height="24" viewBox="0 0 24 24" fill="none" stroke="currentColor" stroke-width="2" stroke-linecap="round" stroke-linejoin="round" class="tabler-icon tabler-icon-lock "><path d="M5 13a2 2 0 0 1 2 -2h10a2 2 0 0 1 2 2v6a2 2 0 0 1 -2 2h-10a2 2 0 0 1 -2 -2v-6"></path><path d="M11 16a1 1 0 1 0 2 0a1 1 0 0 0 -2 0"></path><path d="M8 11v-4a4 4 0 1 1 8 0v4"></path></svg></div><p style="font-size:var(--mantine-font-size-sm)" class="mantine-focus-auto m_b6d8b162 mantine-Text-root">CSS: Transform (Transform objects)</p></div><h1 style="--title-fw:var(--mantine-h1-font-weight);--title-lh:var(--mantine-h1-line-height);--title-fz:var(--mantine-h1-font-size);margin-bottom:var(--mantine-spacing-xl)" class="m_8a5d1357 mantine-Title-root" data-order="1">Theory: 3D transformations and functions</h1><script type="application/ld+json">{"@context":"https://schema.org","@type":"LearningResource","name":"3D transformations and functions","inLanguage":"en","isPartOf":{"@type":"LearningResource","name":"CSS: Transform (Transform 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0"></path></svg></div><div class="m_667c2793 mantine-Alert-body"><div class="m_6a03f287 mantine-Alert-title"><span id="mantine-_R_remqrdub_-title" class="m_698f4f23 mantine-Alert-label">Full access to materials</span></div><div id="mantine-_R_remqrdub_-body" class="m_7fa78076 mantine-Alert-message"><div style="--group-gap:var(--mantine-spacing-md);--group-align:center;--group-justify:space-between;--group-wrap:wrap" class="m_4081bf90 mantine-Group-root"><p class="mantine-focus-auto m_b6d8b162 mantine-Text-root">Sign up and get access to this and dozens of other courses</p><a style="--button-height:var(--button-height-xs);--button-padding-x:var(--button-padding-x-xs);--button-fz:var(--mantine-font-size-xs);--button-bg:linear-gradient(45deg, var(--mantine-color-blue-filled) 0%, var(--mantine-color-cyan-filled) 100%);--button-hover:linear-gradient(45deg, var(--mantine-color-blue-filled) 0%, var(--mantine-color-cyan-filled) 100%);--button-color:var(--mantine-color-white);--button-bd:none" class="mantine-focus-auto mantine-active m_77c9d27d mantine-Button-root m_87cf2631 mantine-UnstyledButton-root" data-variant="gradient" data-size="xs" href="/u/new"><span class="m_80f1301b mantine-Button-inner"><span class="m_811560b9 mantine-Button-label">Sign up</span></span></a></div></div></div></div></div><div class="paywalled m_d08caa0 mantine-Typography-root"><p>In lessons about transforming two-dimensional objects, we learned how to use several types of transformations:</p>
<ul>
<li>Translation, which involved the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">translate()</code> function</li>
<li>Rotation, which involved the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">rotate()</code> function</li>
<li>Scaling using <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">scale()</code></li>
</ul>
<p>Transformations of 3D objects are the same in terms of their functionality. We only use these three types with a specific syntax for them. To make it easier for the browser, 3d is added to the function name when transforming <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">3d</code> objects. Thus, we get three functions for three-dimensional elements:</p>
<ul>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">translate3d()</code> — translation</li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">rotate3d()</code> — rotation</li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">scale3d()</code> — scaling</li>
</ul>
<p>The only transformation missing for the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">z-axis</code> is <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">skew()</code>.</p>
<h2 id="heading-2-1">The <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">transform-style</code> property</h2>
<p>We need an actual 3D object to demonstrate all these transformations correctly, not just the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">z-axis</code>. We will use a cube as an example. To create it, you need to use the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">transform-style</code> property, which takes one of two values:</p>
<ul>
<li>The default value <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">flat</code> indicates that the element is on the same plane as its parent. It is how we see elements in most cases and how we saw them in the previous lessons</li>
<li>The element <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">preserve-3d</code> behaves as if it were in its own three-dimensional space, not in the space of its parent. It means that the elements will be independent of each other. They can pass through each other</li>
</ul>
<p>It may be a bit confusing at first, but it is easiest to look at both values in the context of the example:</p>
<iframe height="530" style="width:100%" scrolling="no" title="css_transform_course_perspective-origin" src="https://codepen.io/hexlet/embed/abwPYMr?default-tab=result&editable=true" frameBorder="no" loading="lazy" allowTransparency="true" allowFullScreen="">
See the Pen <a href="https://codepen.io/hexlet/pen/abwPYMr">
css_transform_course_perspective-origin</a> by Hexlet (<a href="https://codepen.io/hexlet">@hexlet</a>)
on <a href="https://codepen.io">CodePen</a>.
</iframe>
<p>In the left example, the green block is above the red block because the elements are in the same two-dimensional space and depend on each other. No matter how you transform the green block, it cannot interact with the red block because it is in front of it.</p>
<p>In the right example, the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">preserve-3d</code> value for the red block creates its volume context. Child elements do not just exist side by side. They are in a single three-dimensional space that allows them to pass through each other and move relative to shared axes.</p>
<p>The easiest way to think of it is that <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">flat</code> creates a single two-dimensional space, while <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">preserve-3d</code> creates a three-dimensional space. It adds new possibilities for positioning elements with each other.</p>
<p>Note that the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">transform-style</code> property is set once for the parent element. Since this property creates the spacing, setting it for the child elements makes no sense.</p>
<p>In the example above, the red element was such a block. It is also important to remember that we are talking about direct descendants. If we add a new object inside the green block, we define the space for it by the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">flat</code> value.</p>
<p>It is time to explore how the transformations we already know work in three-dimensional space. Let us take the most primitive three-dimensional object, a cube. We made all of its faces translucent to see how they look in 3D.</p>
<p>Now we are looking at the very center point of its front face. It will be the starting position for the transformations we will be doing below. You can also change the starting point using the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">perspective-origin</code> property. It will have a slight difference:</p>
<iframe height="617" style="width:100%" scrolling="no" title="css_transform_course_3d_object" src="https://codepen.io/hexlet/embed/mdwYxEL?default-tab=result&editable=true" frameBorder="no" loading="lazy" allowTransparency="true" allowFullScreen="">
See the Pen <a href="https://codepen.io/hexlet/pen/mdwYxEL">
css_transform_course_3d_object</a> by Hexlet (<a href="https://codepen.io/hexlet">@hexlet</a>)
on <a href="https://codepen.io">CodePen</a>.
</iframe>
<h2 id="heading-2-2">Translation</h2>
<p>We use functions to translate three-dimensional objects:</p>
<ul>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">translateX()</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">translateY()</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">translateZ()</code></li>
</ul>
<p>And their big brother is <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">translate3d(x, y, z)</code>. It simply combines all three functions for easy writing. The following two entries are equivalent:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">.block {
transform: translateX(10px) translateY(10px) translateZ(10px);
transform: translate3d(10px, 10px, 10px);
}</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>The translation along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">x</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">y</code> coordinates is obvious. And how does it move along the z-axis? When you change the z-axis position, the browser moves the item closer or further away from its original location. However, if the element moves further away, it gets smaller. If it moves closer, it gets bigger. We can see this effect in the cube. We place the front and back walls of the cube using <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">translateZ()</code>.</p>
<p>In the example below, we slightly rotated the cube and removed all edges except the front and back:</p>
<iframe height="616" style="width:100%" scrolling="no" title="css_transform_course_3d_object" src="https://codepen.io/hexlet/embed/QWgRZKQ?default-tab=result&editable=true" frameBorder="no" loading="lazy" allowTransparency="true" allowFullScreen="">
See the Pen <a href="https://codepen.io/hexlet/pen/QWgRZKQ">
css_transform_course_3d_object</a> by Hexlet (<a href="https://codepen.io/hexlet">@hexlet</a>)
on <a href="https://codepen.io">CodePen</a>.
</iframe>
<p>The faces have the following properties:</p>
<div style="margin-bottom:var(--mantine-spacing-lg)" class="m_e597c321 mantine-CodeHighlight-codeHighlight" dir="ltr"><div class="m_be7e9c9c mantine-CodeHighlight-controls"><button style="--ai-bg:transparent;--ai-hover:transparent;--ai-color:inherit;--ai-bd:none" class="mantine-focus-auto mantine-active m_d498bab7 mantine-CodeHighlight-control m_8d3f4000 mantine-ActionIcon-root m_87cf2631 mantine-UnstyledButton-root" data-variant="none" type="button" aria-label="Copy code"><span class="m_8d3afb97 mantine-ActionIcon-icon"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" stroke-width="2" stroke="currentColor" fill="none" stroke-linecap="round" stroke-linejoin="round"><path stroke="none" d="M0 0h24v24H0z" fill="none"></path><path d="M8 8m0 2a2 2 0 0 1 2 -2h8a2 2 0 0 1 2 2v8a2 2 0 0 1 -2 2h-8a2 2 0 0 1 -2 -2z"></path><path d="M16 8v-2a2 2 0 0 0 -2 -2h-8a2 2 0 0 0 -2 2v8a2 2 0 0 0 2 2h2"></path></svg></span></button></div><div style="--scrollarea-scrollbar-size:calc(0.25rem * var(--mantine-scale));--sa-corner-width:0px;--sa-corner-height:0px" class="m_f744fd40 mantine-CodeHighlight-scrollarea m_d57069b5 mantine-ScrollArea-root" dir="ltr"><div style="overflow-x:hidden;overflow-y:hidden;overscroll-behavior-inline:none" class="m_c0783ff9 mantine-ScrollArea-viewport" data-scrollbars="xy"><div class="m_b1336c6 mantine-ScrollArea-content"><pre class="m_2c47c4fd mantine-CodeHighlight-pre" style="padding:0"><code class="m_5caae6d3 mantine-CodeHighlight-code">.front {
transform: translateZ(150px);
}
.back {
transform: translateZ(-150px);
}</code></pre></div></div></div><button class="mantine-focus-auto m_c9378bc2 mantine-CodeHighlight-showCodeButton m_87cf2631 mantine-UnstyledButton-root" data-hidden="true" type="button">Expand code</button></div>
<p>Let us consider how to achieve the cube effect. We moved the front face was moved 150 pixels along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">z-axis</code> to get closer to the user.</p>
<p>It had the side effect now: the face is 382×382 pixels instead of the 300×300 pixels specified. As you can understand, these transformations affect the size of elements, which we should consider when embedding transformed objects in ready-made page templates.</p>
<p>The rear side has undergone a similar transformation; we moved it 150 pixels back from its original location. It also changed the size of the square itself — now it is 250×250 pixels.</p>
<p>Note that transforming along the same axis and by the same number of pixels did not cause the elements to get bigger or smaller by the same number of pixels. Here there is a direct correlation between the property, the original dimensions, whether the value was positive or negative, and the value of the perspective. A more complete description, with all formulas and matrices, can be found in the official specification.</p>
<p>If you are not going to do your animations in CSS, you do not need to understand it completely. The main thing is to get the gist of how properties affect elements.</p>
<h2 id="heading-2-3">Rotation</h2>
<p>The functions offered by the CSS specification replicate similar ones for translation/movement.</p>
<p>We rotate elements using the following functions:</p>
<ul>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">rotateX()</code> — rotate along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">x-axis</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">rotateY()</code> — rotate along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">y-axis</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">rotateZ()</code> — rotate along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">z-axis</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">rotate3d(x, y, z)</code> — rotate along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">x</code>, <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">y</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">z</code> axes</li>
</ul>
<p>An easy way to see how elements rotate is to use the cube animation as an example. There is an example for every axis:</p>
<iframe height="1042" style="width:100%" scrolling="no" title="css_transform_course_3d_object" src="https://codepen.io/hexlet/embed/MWodPdM?default-tab=result&editable=true" frameBorder="no" loading="lazy" allowTransparency="true" allowFullScreen="">
See the Pen <a href="https://codepen.io/hexlet/pen/MWodPdM">
css_transform_course_3d_object</a> by Hexlet (<a href="https://codepen.io/hexlet">@hexlet</a>)
on <a href="https://codepen.io">CodePen</a>.
</iframe>
<p>Notice how we initially lined up the elements. The example uses three cubes, one above the other, and we can see them as we would in real life:</p>
<ul>
<li>The bottom face of the top cube is visible to us because it is above our viewpoint</li>
<li>The top face of the bottom cube is visible to us for the same reason</li>
</ul>
<p>That is because we set the perspective in the example on a block, which is common to all these cubes.</p>
<p>In this case, the perspective is set to the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight"><body></code> tag, so the objects are in the same area relative to each other but at different heights.</p>
<h2 id="heading-2-4">Scaling</h2>
<p>Unsurprisingly, we use the functions to scale elements in 3D space the same way as in the previous examples:</p>
<ul>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">scaleX()</code> — scaling along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">x-axis</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">scaleY()</code> — scaling along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">y-axis</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">scaleZ()</code> — scaling along the <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">z-axis</code></li>
<li><code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">scale3d(x, y, z)</code> — scaling along <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">x</code>, <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">y</code> and <code style="margin-bottom:var(--mantine-spacing-lg)" class="m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight m_e597c321 mantine-CodeHighlight-codeHighlight m_dfe9c588 mantine-InlineCodeHighlight-inlineCodeHighlight">z</code> axes</li>
</ul>
<p>The range of values is the same as in two-dimensional space. If you use values from zero to one, you make the element smaller. The values higher than one make them bigger along one of the axes.</p>
<p>Negative values will flip the element:</p>
<iframe height="1013" style="width:100%" scrolling="no" title="css_transform_course_rotate3d" src="https://codepen.io/hexlet/embed/abwrQqW?default-tab=result&editable=true" frameBorder="no" loading="lazy" allowTransparency="true" allowFullScreen="">
See the Pen <a href="https://codepen.io/hexlet/pen/abwrQqW">
css_transform_course_rotate3d</a> by Hexlet (<a href="https://codepen.io/hexlet">@hexlet</a>)
on <a href="https://codepen.io">CodePen</a>.
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