This project immerses students in the exploration of fractals, bridging mathematical concepts with artistic expression. By engaging in hands-on creation and analysis, students deepen their understanding of recursion and its visual representation. Through peer critique and gallery exhibitions, they refine their artistic skills and mathematical reasoning, fostering a comprehensive appreciation of fractals' role in both fields. This experience encourages students to connect real-world applications of math with cultural and artistic trends, enhancing their analytical and creative competencies.

Students will explore the concept of recursion through the creation of fractal art, understanding how a digit in a multi-digit number represents ten times what it represents in the place to its right. They will analyze trends in art by examining fractals in various cultural contexts, such as Islamic art and cornrows, and apply these insights to their own artistic creations. Through peer critique, self-assessment, and reflection, students will deepen their understanding of the intersection between mathematics and artistic expression, culminating in a gallery walk to exhibit their work.

Students will create a series of fractal art pieces that visually represent recursion, incorporating mathematical calculations and artistic trends. Throughout the project, students will develop a digital portfolio documenting their creative process, including sketches, calculations, and reflections. The final product will be an artist statement that accompanies their fractal art, explaining the mathematical concepts and artistic choices made. These artworks will be displayed in a gallery walk exhibition, where students will present their creations and engage in peer critique and reflection.

Begin the project by exploring captivating fractal art examples, such as Islamic geometric patterns and the intricate designs found in cornrows, to spark curiosity and discussion. Introduce students to the concept of recursion by examining how these art forms use repeated patterns to create complex designs. Facilitate a hands-on activity where students create their own simple fractal designs using paper and colored pencils, encouraging them to identify the base and recursive cases in their work. Engage students in a discussion about the mathematical principles behind fractals and their significance in both art and nature.

Organize a gallery walk where students display their fractal art projects alongside their digital portfolios. Invite local art museum representatives and community members to view the exhibition. During the event, students present their work, explaining the mathematical concepts of recursion and artistic trends they explored. Encourage attendees to engage with students through questions and feedback, fostering a rich dialogue about the intersection of math and art.