UFD, extension with sqrt(-67) - primes

data176/D67 (Click on image for high-quality PDF version)

Geometry

6³, with colouring added, black for the zero, red for the units and blue for the primes..

This Unique Factorization Domain consists of the numbers a+b√{-67}, where a and b are either both integers or both n+0.5. The y axis is quashed to give a hexagonal layout.

For general details about this class of tiling, see.

References

Publications referenced:

Page 33, A16 of Richard K Guy. Unsolved Problems in Number Theory, Springer Verlag, 1994. ISBN 038794289. [guy] {pp285}

v54