Hilton, PeterPedersen, Jean2024-09-042024-09-042003-06-01Teaching Mathematics and Computer Science, Vol. 1 No. 1 (2003) , 1-341589-7389https://hdl.handle.net/2437/379492We give a sustained example, drawn largely from earlier publications, of how we may freely pursue a line of mathematical enquiry if we are not constrained, unnaturally, to confine ourselves to a single mathematical subdiscipline; and we draw conclusions from the study of this example which are relevant at many levels of mathematical instruction. We also include the statement and proof of a new result (Theorem 4.1) in linear algebra which is obviously fundamental to the geometrical investigation which constitutes the leit-motif of the paper.application/pdfpaper-foldingconstruction of quasi-regular polygonsstar polygonspractical geometrynumber theorylinear algebraunity of mathematicsfolyóiratcikkOpen AccessPeter Hilton and Jean Pedersenhttps://doi.org/10.5485/TMCS.2003.0001Teaching Mathematics and Computer Science11Teach. Math. Comp. Sci.2676-8364