Child Buyers

The title refers to a classic 1960 novel by John Hersey.
“How do you  get young people excited about space?”
— Megan Garber in The Atlantic , Aug. 16, 2012
(Italics added.) (See previous four posts.)
Allyn Jackson on “Simplicity, in Mathematics and in Art,”
in the new August 2013 issue of Notices of the American
Mathematical Society—
“As conventions evolve, so do notions of simplicity.
Franks mentioned Gauss’s 1831 paper that
established the respectability of complex numbers.”
This suggests a related image by Gauss, with a
remark on simplicity—

Here Gauss’s diagram is not, as may appear at first glance,
a 3×3 array of squares, but is rather a 4×4 array of discrete
points (part of an infinite plane array).
Related material that does  feature the somewhat simpler 3×3 array
of squares, not  seen as part of an infinite array—
Marketing the Holy Field

Click image for the original post.
For a purely mathematical view of the holy field, see Visualizing GL(2,p).