Year: 2024
Type: article
Abstract: This contribution deals with the calculations of the sums of the areas of infinitely many uniformly decreasing basic planar shapes.Using the formula for the sum of an infinite geometric series, the formulas for the sums of the areas enclosed by an equilateral, isosceles and right triangle, for a square, rectangle, regular hexagon, regular octagon, regular 𝑛-sided polygon, circle and ellipse are derived.Computer algebra system Maple was used for numerical calculations.
Author: Radovan Potůček
Institution: University of Defence
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406591207