Problem 2648. Ulam spiral 2: The revenge

Created by Giuseppe Cardillo

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/image","targetMode":"","relationshipId":"rId1","target":"/media/image1.JPEG"}],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Starting from the problem</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/2644-the-ulam-matrix\"><w:r><w:t>&lt;https://www.mathworks.com/matlabcentral/cody/problems/2644-the-ulam-matrix</w:t></w:r></w:hyperlink><w:r><w:t>&gt;, transform the Ulam Matrix into coordinates to plot the spiral.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"-1\"/><w:attr w:name=\"width\" w:val=\"-1\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>So:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>point 1 will have coordinates (0,0)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>point 2 will have coordinates (1,0)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>point 3 will have coordinates (1,1)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"1\"/></w:numPr></w:pPr><w:r><w:t>point 4 will have coordinates (0,1)</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>and so on...</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray 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"}]}

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Last Solution submitted on Feb 03, 2023

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Solution 518264

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J.R.! Menzinger on 30 Oct 2014

More test cases. Both are very similar ;-)

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Problem 2648. Ulam spiral 2: The revenge

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Problem 2648. Ulam spiral 2: The revenge

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