A teacher at my school had his students graph some polynomials and their inverses. I got to help some of his students with their graphs. After seeing the beautiful symmetry of the graphs together, I excitedly exclaimed to a few of the students, “Isn’t this a cool assignment?”

During my lunch, I put one of the graphs, its inverse, and some of their translations on Desmos and made a simple but lovely piece of art in the process.

Before I was done, I showed it to a couple of students. One of them asked, “Are you saying that math can create art?” I loved replying, “Yes, it can!” Now that student wants to create some works of art, too. It was a privilege to show her how to use Desmos.

These are the inequalities I used to make my work of art:

MANY teachers have figured out that students could learn a lot about functions and their graphs by using Desmos to create drawings, pictures, or artwork. For example, look at this tweet and link shared by Chris Bolognese:

Here's the final @desmos coloring book from my amazing Precalculus students. We are headed to the lower school next week to join them in some coloring fun. Pictures to come! https://t.co/iejf2RYVWX @ColumbusAcademy @CAVikesSTEAM @mathequalslove #iteachmath

— Chris Bolognese (@EulersNephew) December 8, 2018

Now I’ll share some facts about the number 1314:

- 1314is a composite number.
- Primefactorization: 1314= 2 × 3 × 3 × 73,which can be written 1314 = 2 × 3² × 73
- The exponents inthe prime factorization are 1, 2, and 1. Adding one to each and multiplying weget (1 + 1)(2 + 1)(1 + 1) = 2 × 3 × 2 = 12. Therefore 1314has exactly 12 factors.
- Factors of 1314:1, 2, 3, 6, 9, 18, 73, 146, 219, 438, 657, 1314
- Factor pairs: 1314= 1 × 1314,2 × 657, 3 × 438, 6 × 219, 9 × 146, or 18 × 73
- Taking the factorpair with the largest square number factor, we get √1314= (√9)(√146) = 3√146 ≈ 36.24914

1314 is the sum of two squares:

33² + 15² = 1314

1314 is the hypotenuse of a Pythagorean triple:

864-990-1314 which is 18 times (48-55-73) and

can also be calculated from 33² – 15², 2(33)(15), 33² + 15²