Typography of Geometry Problem 161: Parallelogram, Midpoints, Octagon, Areas, iPad Apps

Proposition

In the figure below, ABCD is a parallelogram of area S. S₁ is the area of the shaded octagon determined by connecting the midpoints E, F, G, and H with the opposite vertex of the parallelogram ABCD. Prove that S₁ = S / 6.

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Geometric Art using Mobile Apps

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

See also:
Original problem 161