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	<title>Project Euler/228 - Revision history</title>
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	<updated>2026-06-19T08:29:50Z</updated>
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		<title>Admin: Create Project Euler/228 - Minkowski Sums (via create-page on MediaWiki MCP Server)</title>
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		<summary type="html">&lt;p&gt;Create Project Euler/228 - Minkowski Sums (via create-page on MediaWiki MCP Server)&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;==Problem Statement==&lt;br /&gt;
&lt;br /&gt;
&amp;#039;&amp;#039;&amp;#039;Minkowski Sums&amp;#039;&amp;#039;&amp;#039;&lt;br /&gt;
&lt;br /&gt;
Let S_n be the regular n-sided polygon – or shape – whose vertices v_k (k = 1,2,…,n) have coordinates:&lt;br /&gt;
&lt;br /&gt;
x_k = cos( (2k-1)/n × 180° )&lt;br /&gt;
y_k = sin( (2k-1)/n × 180° )&lt;br /&gt;
&lt;br /&gt;
Each S_n is to be interpreted as a filled shape consisting of all points on the perimeter and in the interior.&lt;br /&gt;
&lt;br /&gt;
The Minkowski sum, S+T, of two shapes S and T is the result of adding every point in S to every point in T, where point addition is performed coordinate-wise:&lt;br /&gt;
&lt;br /&gt;
(u, v) + (x, y) = (u+x, v+y).&lt;br /&gt;
&lt;br /&gt;
How many sides does S_1864 + S_1865 + … + S_1909 have?&lt;br /&gt;
&lt;br /&gt;
==Flags==&lt;br /&gt;
&lt;br /&gt;
{{ProjectEulerFlag}}&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
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