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ERIC Number: EJ819167
Record Type: Journal
Publication Date: 2008-Dec
Pages: 13
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0268-3679
Rolling Squares
Holton, Derek; Knights, Carol
Teaching Mathematics and Its Applications: An International Journal of the IMA, v27 n4 p174-186 Dec 2008
Here, we investigate what loci are produced when a square of side-length one is allowed to rotate around a square of side-length n, where n is a whole number. We find that if i = 1, 2, 3 or 4 (mod 4), the loci obtained for n [congruent to] i (mod 4) all have the same symmetry and we show how the perimeter of each class can be determined. We also analyse the case of rotation of a square of side-length one about a rectangle of dimensions m x n when m and n are whole numbers. A similar result is obtained for classes of rectangles modulo 4 to that obtained in the square case. Finally, we suggest that this is a useful investigation to undertake with secondary school pupils. We discuss how we have used this investigation with such a group.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education
Audience: Teachers
Language: English
Sponsor: N/A
Authoring Institution: N/A