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(2019) Handbook of the mathematics of the arts and sciences, Dordrecht, Springer.
The circle and the square are among the most common shapes used by mankind. Consequently, it is worthwhile to study the mathematical correspondence between the two. This chapter discusses three different ways of mapping a circular region to a square region and vice versa. Each of these mappings has nice closed-form invertible equations and different interesting properties. In addition, this chapter will present artistic applications of these mappings such as converting the Poincaré disk to a square as well as molding rectangular artworks into oval-shaped ones.
Publication details
DOI: 10.1007/978-3-319-70658-0_27-1
Full citation:
Fong, C. (2019)., Homeomorphisms between the circular disc and the square, in B. Sriraman (ed.), Handbook of the mathematics of the arts and sciences, Dordrecht, Springer, pp. 1-26.
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