Euclid and Nautilus, 30031
Click on the thumbnail above to expand it.
The size of the outermost purple rectangle is 13" x 11" and its horizontal side is hopefully parallel to the base of your computer monitor.
Some notes from the back of the painting:
Euclid, the great Greek mathematician, is best known for his treatise, the Elements. In Book IX, he proved ingeniously that there are an infinity of prime numbers (Proposition 20). This is still regarded today as one of the most beautiful mathematical proofs ever constructed. Here is an informal statement: Suppose there is some maximal prime P. Let N be the product of all primes at most equal to P. Then N+1 is indivisible by any prime less than or equal to P since it will leave a remainder of one in each case. Therefore N+1 is itself a prime larger than P, or has as a factor some prime larger than P. Hence our assumption that there is some maximal prime P is false. Q.E.D.Nautilus: The beautiful pearly, or chambered, nautilus has a smooth, coiled shell about 25 cm (10 inches) in diameter, consisting of about 36 chambers, the outermost of which it lives in. These chambers are connected by a tube that adjusts the amount of gases in them, allowing the shell to act as a float. The last surviving genus of the ancient order Nautiloidea, Nautilus is important in paleontology for dating the strata in which it appears.