Abstract
Generalizations of the geometric construction that repeatedly attaches rectangles to a square, originally given by Myer- son, are presented. The initial square is replaced with a rectangle, and also the dimensionality of the construction is increased. By selecting values for the various parameters, such as the lengths of the sides of the original rectangle or rectangular box in dimensions more than two and their relationships to the size of the attached rectangles or rectangular boxes, some interesting formulas are found. Examples are Wallis-type infinite-product formulas for the areas of p-circles with p > 1.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Date
9-2013
Document Type
Article
Department, Program, or Center
School of Mathematical Sciences (COS)
Recommended Citation
J. Fitzhugh and D. Farnsworth, "A Construction That Produces Wallis-Type Formulas," Advances in Pure Mathematics, Vol. 3 No. 6, 2013, pp. 579-585. doi: 10.4236/apm.2013.36074.
Campus
RIT – Main Campus
