Mathematical visualizations are beautiful representations of technical phenomena. From the visual “perfection” of the golden spiral to the pattern generation of fractals, so many works of art can be boiled down to formulas and equations. Such is the case with N.G. de Bruijn’s medallion and frieze patterns. Given two starting values, two lines of mathematical formulae produce a recursive sequence of complex numbers. We can associate these numbers with the four cardinal directions, following the steps on a plot to produce beautiful patterns. The patterns are of two different types, the closed medallion or repeating frieze, depending on the starting values.

When you need a complex math visualization, Maple is a perfect place to go. A demonstration of medallion and frieze patterns is available in the Maple Application Center, in which you can vary the starting values and watch the outcome change, along with more detailed background information. However, there’s an even simpler way to explore this program with the help of Maple Learn. Maple Learn has the same computational power as Maple, streamlined into an easy-to-use notebook style.

Maple Learn includes many core features, and anything missing can be ported in through Maple. This is done using Maple’s DocumentTools:-Canvas package. The package contains the necessary procedures to convert Maple code into a “canvas”, which can be opened as a Maple Learn sheet. This makes the whole document look cleaner and allows for easy sharing with friends.

The medallion and frieze document, along with the additional contextual information, is now also available in Maple Learn’s Document Gallery, home to over one thousand example documents covering calculus, geometry, physics, and more.

Who else likes art? I love art; doodling in my notebook between projects and classes is a great way to pass the time and keep my creativity sharp. However, when I’m working in Maple Learn, I don’t need to get out my book; I can use the plot window as my canvas and get my drawing fix right then and there.

We’ve done a few blog posts on Maple Learn art, and we’re back at it again in even bigger and better ways. Maple Learn’s recent update added some useful features that can be incorporated into art, including the ability to resize the plot window and animate using automatically-changing variables.

Even with all the previous posts, you may be thinking, “What’s all this? How am I supposed to make art in a piece of math software?” Well, there is a lot of beauty to mathematics. Consider beautiful patterns and fractals, equations that produce surprisingly aesthetically interesting outputs, and the general use of mathematics to create technical art. In Maple Learn, you don’t have to get that advanced (heck, unless you want to). Art can be created by combining basic shapes and functions into any image you can imagine. All of the images below were created in Maple Learn!

There are many ways you can harness artistic power in Maple Learn. Here are the resources I recommend to get you started.

- I’ve recently made some YouTube videos (see the first one below) that provide a tutorial for Maple Learn art. This series is less than 30 minutes in total, and covers - in three respective parts - the basics, some more advanced Learn techniques, and a full walkthrough of how I make my own art.
- Check out the Maple Learn document gallery art collection for some inspiration, the how-to documents for additional help, and the rest of the gallery to see even more Maple Learn in action!

Once you’re having fun and making art, consider submitting your art to the Maple Conference 2022 Maple Learn Art Showcase. The due date for submission is October 14, 2022. The Conference itself is on November 2-3, and is a free virtual event filled with presentations, discussions, and more. Check it out!

Have you ever wondered about the people behind the scenes at Maplesoft? What about the students who help design the products?

This week, we thought we’d introduce ourselves. We are some of the co-op students at Maplesoft, who in between studying believe that Math Matters.

I’ll go first. My name is Pleiades, I’m 21 and my pronouns are they/them. I am a product management intern at Maplesoft, working with Maple Learn and Maple Calculator. I'm not a math student, but my favorite thing about math is how expressive its language is. Mathematical equations and symbols can be used to express incredibly complex ideas, and even if you don't understand the sense, you can still read the "words". My favorite thing about working for Maplesoft is the flexibility. I have many different types of tasks, and I’m able to learn so many different things.

Keep reading, and find out more about my fellow students below!

**Quality Assurance: **

Hello, my name is Matilda (she/her)! I am 19 years old, studying physics and astronomy at the University of Waterloo. I am part of the QA team here at Maplesoft, working as a quality assurance analyst co-op. I find math fascinating as it is a broad field that can be challenging, but also invokes a lot of creativity. As I am a new addition at Maplesoft, I am excited to work with the various Maple products. I am looking forward to meeting new students and individuals, and to help grow not only myself but the company further.

My name is Kat, I’m 20 and my pronouns are she/her. In my spare time, I enjoy reading and rock climbing. I am a QA analyst at Maplesoft, mostly working on Maple 2023. I am a student at UW studying mathematical physics and I would like to also minor in astronomy/astrophysics. My favorite thing about math is the objectivity of it, how there is a set structure and logical solution to any problem. I especially like calculus and trigonometry. I’m excited to be at Maplesoft because I will be learning everything about Maple from the inside perspective, which is used in many 300 and 400-level applied math courses that I will be taking at UW. I also really like the office environment and my coworkers.

**Development:**

Hey, my name is Paul C, I am 22 years old, and I am working as a Web and Mobile developer with Steve Metzger for the next 4 months. At the University of Waterloo, I study Mathematical Physics, though, I love the Computational Mathematics courses I’ve taken at UWaterloo. As for the world of Mathematics, I have always been fond of how everything can be thoroughly proven through basic arguments and logic. I am very excited to be working at Maplesoft, as I have for a long time been intrigued as to how Maple, Symbolab, and WolframAlpha function. So, this position is finally giving me the opportunity to truly explore how such software is developed.

**Sales: **

My name is Robin, I’m 21 years old and my pronouns are he/him. I am currently working as a Business Operations Analyst at Maplesoft, wor