July 11, 2010

Hexagon Spire

Looking up can present you with remarkable geometric vistas in a variety of settings. One of my most vivid memories is of the interior of a spire that consisted of a sequence of stacked, rotated hexagons of diminishing size, producing a convincing illusion of infinite extent.

The spectacular, soaring spire of the Man in the Community pavilion at Expo '67 in Montreal consisted of a sequence of nested hexagons (video tour of pavilion).

The sequence of inscribed hexagons suggests a variety of math problems. What is the ratio of the areas of the circumscribed regular hexagon to the inscribed regular hexagon? Solution.

Photo by I. Peterson


Adriana said...

your posts make my days more beautiful :) thanks!

Pacha Nambi said...

My friend Jayaraman Narayanan says: "the answer can be given for regular polygon of any number of sides".