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	<id>http://digida.mgpu.ru/index.php?action=history&amp;feed=atom&amp;title=How_to_Move_a_Sprite_in_a_Spiral</id>
	<title>How to Move a Sprite in a Spiral - История изменений</title>
	<link rel="self" type="application/atom+xml" href="http://digida.mgpu.ru/index.php?action=history&amp;feed=atom&amp;title=How_to_Move_a_Sprite_in_a_Spiral"/>
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	<updated>2026-05-20T07:49:12Z</updated>
	<subtitle>История изменений этой страницы в вики</subtitle>
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	<entry>
		<id>http://digida.mgpu.ru/index.php?title=How_to_Move_a_Sprite_in_a_Spiral&amp;diff=2475&amp;oldid=prev</id>
		<title>Patarakin в 09:04, 29 августа 2022</title>
		<link rel="alternate" type="text/html" href="http://digida.mgpu.ru/index.php?title=How_to_Move_a_Sprite_in_a_Spiral&amp;diff=2475&amp;oldid=prev"/>
		<updated>2022-08-29T09:04:37Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;ru&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Предыдущая версия&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Версия от 12:04, 29 августа 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot;&gt;Строка 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Строка 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;{{Scripting Tutorials&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Description=Как организовать движение агента по спирали&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Field_of_knowledge=Информатика, Робототехника&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Возрастная категория=10&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|Environment=Scratch, Snap!, Лого&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;}}&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This tutorial explains how to move a [[sprite]] in a spiral in [[Scratch]]. A spiral can mean any path that turns around a point, and that always approaches or always recedes from the point, so there are many types of spirals. This tutorial is about [[wikipedia:Logarithmic spiral|Logarithmic spirals]] and [[wikipedia:Archimedean spiral|Archimedean spirals]].&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;This tutorial explains how to move a [[sprite]] in a spiral in [[Scratch]]. A spiral can mean any path that turns around a point, and that always approaches or always recedes from the point, so there are many types of spirals. This tutorial is about [[wikipedia:Logarithmic spiral|Logarithmic spirals]] and [[wikipedia:Archimedean spiral|Archimedean spirals]].&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l40&quot;&gt;Строка 40:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Строка 46:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To make the sprite move towards the center, replace the value of &amp;lt;sb&amp;gt;separation :: grey reporter&amp;lt;/sb&amp;gt; with a negative number and set the initial distance to a large number. To make the sprite turn counterclockwise, set direction change to a negative number.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;To make the sprite move towards the center, replace the value of &amp;lt;sb&amp;gt;separation :: grey reporter&amp;lt;/sb&amp;gt; with a negative number and set the initial distance to a large number. To make the sprite turn counterclockwise, set direction change to a negative number.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;== See Also ==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt; &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;* {{b|Turn () () Degrees}}&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-added&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Scripting Tutorials]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[Category:Scripting Tutorials]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Patarakin</name></author>
	</entry>
	<entry>
		<id>http://digida.mgpu.ru/index.php?title=How_to_Move_a_Sprite_in_a_Spiral&amp;diff=1876&amp;oldid=prev</id>
		<title>Patarakin: 1 версия импортирована</title>
		<link rel="alternate" type="text/html" href="http://digida.mgpu.ru/index.php?title=How_to_Move_a_Sprite_in_a_Spiral&amp;diff=1876&amp;oldid=prev"/>
		<updated>2022-07-21T08:33:18Z</updated>

		<summary type="html">&lt;p&gt;1 версия импортирована&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;ru&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Предыдущая версия&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Версия от 11:33, 21 июля 2022&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;ru&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(нет различий)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Patarakin</name></author>
	</entry>
	<entry>
		<id>http://digida.mgpu.ru/index.php?title=How_to_Move_a_Sprite_in_a_Spiral&amp;diff=1875&amp;oldid=prev</id>
		<title>scratch&gt;Jvvg в 21:48, 6 июня 2022</title>
		<link rel="alternate" type="text/html" href="http://digida.mgpu.ru/index.php?title=How_to_Move_a_Sprite_in_a_Spiral&amp;diff=1875&amp;oldid=prev"/>
		<updated>2022-06-06T21:48:13Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Новая страница&lt;/b&gt;&lt;/p&gt;&lt;div&gt;This tutorial explains how to move a [[sprite]] in a spiral in [[Scratch]]. A spiral can mean any path that turns around a point, and that always approaches or always recedes from the point, so there are many types of spirals. This tutorial is about [[wikipedia:Logarithmic spiral|Logarithmic spirals]] and [[wikipedia:Archimedean spiral|Archimedean spirals]].&lt;br /&gt;
&lt;br /&gt;
== Spiral Types ==&lt;br /&gt;
=== Logarithmic Spiral ===&lt;br /&gt;
A logarithmic spiral multiplies its distance from the center by the same number whenever it revolves by the same angle around the center. This means that a line from the center will intersect any point on the spiral at the same angle, so a sprite can move in a logarithmic spiral by moving in a direction that is a fixed angle from towards the center.&lt;br /&gt;
&lt;br /&gt;
The following script makes a sprite move in a logarithmic spiral clockwise and towards the Center sprite. The angle the sprite must turn by depends on the factor by which the distance from the center should be multiplied for each revolution around the center. Replace &amp;lt;sb&amp;gt;factor :: grey reporter&amp;lt;/sb&amp;gt; with this number.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;scratchblocks&amp;gt;&lt;br /&gt;
when green flag clicked&lt;br /&gt;
go to (Start v)&lt;br /&gt;
set [Angle v] to ([atan v] of ((6.283) / ([ln v] of (factor :: grey))))&lt;br /&gt;
forever&lt;br /&gt;
    point towards (Center v)&lt;br /&gt;
    turn ccw (Angle) degrees&lt;br /&gt;
    move (1) steps // If this is too many, the sprite will not reach the center&lt;br /&gt;
end&lt;br /&gt;
&amp;lt;/scratchblocks&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To make the sprite move counterclockwise and towards the center, replace the &amp;lt;sb&amp;gt;turn ccw () degrees&amp;lt;/sb&amp;gt; block with a &amp;lt;sb&amp;gt;turn cw () degrees&amp;lt;/sb&amp;gt; block. To make the sprite move away from the center, replace the number in the &amp;lt;sb&amp;gt;move () steps&amp;lt;/sb&amp;gt; block with a negative number.&lt;br /&gt;
&lt;br /&gt;
=== Archimedean Spiral ===&lt;br /&gt;
An Archimedean spiral changes its distance from the center by the same amount for each revolution. This means that a sprite can move in an Archimedean spiral by keeping variables for direction and distance from the center, changing them at constant rates, and calculating x and y positions using [[Trigonometry#The Functions|trigonometric functions]].&lt;br /&gt;
&lt;br /&gt;
The following script makes a sprite move in an Archimedean spiral clockwise and away from the point (36, 28). The change in distance depends on how far apart the loops of the spiral should be. Replace &amp;lt;sb&amp;gt;separation :: grey reporter&amp;lt;/sb&amp;gt; with this amount, and set the initial direction and distance to correspond to where the spiral should start (this might not be the center).&lt;br /&gt;
&lt;br /&gt;
&amp;lt;scratchblocks&amp;gt;&lt;br /&gt;
when green flag clicked&lt;br /&gt;
set [direction v] to (0)&lt;br /&gt;
set [distance v] to (0)&lt;br /&gt;
set [direction change v] to (1) // this controls the sprite&amp;#039;s speed&lt;br /&gt;
set [distance change v] to ((separation :: grey) * (([abs v] of (direction change)) / (360)))&lt;br /&gt;
forever&lt;br /&gt;
    go to x: (((distance :: variables) * ([sin v] of (direction))) + (36)) y: (((distance :: variables) * ([cos v] of (direction))) + (28))&lt;br /&gt;
    change [direction v] by (direction change)&lt;br /&gt;
    change [distance v] by (distance change)&lt;br /&gt;
end&lt;br /&gt;
&amp;lt;/scratchblocks&amp;gt;&lt;br /&gt;
&lt;br /&gt;
To make the sprite move towards the center, replace the value of &amp;lt;sb&amp;gt;separation :: grey reporter&amp;lt;/sb&amp;gt; with a negative number and set the initial distance to a large number. To make the sprite turn counterclockwise, set direction change to a negative number.&lt;br /&gt;
&lt;br /&gt;
== See Also ==&lt;br /&gt;
* {{b|Turn () () Degrees}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Scripting Tutorials]]&lt;/div&gt;</summary>
		<author><name>scratch&gt;Jvvg</name></author>
	</entry>
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