Saturday, February 21, 2026

 

What Can We Say About “Math/Art”? By George Hart

Summary

In the article "What Can We Say About 'Math/Art'?", George Hart, an applied mathematician and sculptor, explores the maturing yet ill-defined field where mathematics and art intersect. Hart argues that while a vibrant community exists, the discipline lacks a coherent formal framework or even a rigorous definition. He suggests that much of what is produced by this community may be better categorized as craft, design, models, or visualization rather than traditional "fine art," but he views this not as a deficit, but as a unique cultural expression that shares the "mathematical landscapes" and joys of discovery familiar to mathematicians. Ultimately, Hart encourages mathematicians to engage in artistic creation as a rewarding form of self-expression and a way to communicate the wonders of mathematics to a broader audience.

Stop 1

Quote: “From a human perspective, I find no contradiction, rather a great resonance, in the blending of mathematics with fine art. It is a central part of my life. Yet when attempting any rational introspection into the nature and power of mathematical art, one is immediately stymied by the fact that the subject seems ill-suited to our usual tools of formal analysis. One can’t even define “art” in the rigorous way that elementary mathematical practice would require. And even without a universal definition of “art,” if we agree that a particular object is art, people may still disagree on whether it is also “mathematical art.” Pg.521

Explanation: The author talks about how closely connected mathematics and fine art really are, even though most people think they are completely separate. Growing up in Nigeria, I was taught to see math as a tool for science subjects like physics, chemistry, and accounting. In contrast, students who weren’t good at math were encouraged to focus on history, languages, or the arts. This made me think of the two as completely different worlds.

Coming to UBC and studying EDCP 552 has changed that. I now see mathematics as a way to understand patterns, rules, and relationships that are also at the heart of art, like sculpture, music, and design. The author, being both a mathematician and a sculptor, shows that these worlds can overlap. Even if we recognize something as art, people might still debate whether it is “mathematical art.” The real barrier is not math or art itself, but the assumptions we carry about them.

Stop 2

Quote:” I trust that as society evolves, more and more people will be freed to create art. And as a fundamental humanist expression, the scope of art needs to be enriched by the viewpoint of mathematicians. Those who have journeyed through mathematical lands have unique stories to tell of what they found and how they now see the world.pg 525

Explanation: I am excited to see mathematics moving beyond simple number manipulation to meet the creative and expressive needs of the 21st century. I was particularly inspired by the recorded Zoom meeting between Susan and Nick Sayers, where everyday materials like bottles and sand were used to create patterns that not only expressed ideas but also solved problems, such as the creation of dune fractals to convey messages, much like expressive art would. This approach reflects the ideas of ethnography, showing how mathematical patterns can connect to human experience and culture. I also thought of a colleague who creates tie-dye fabrics. While skilled, he produces relatively few designs because he has not incorporated mathematics into his process. I can imagine how much richer and more expansive his work could become if he embraced the beauty and structure of mathematics. Hart’s article suggests precisely this: that mathematical thinking, when applied creatively, can transform art and human expression, revealing patterns and possibilities that traditional methods alone might miss.

 

Introduction of a Nigerian Tie Dye Textile Artist

Question: If Mathematics describes patterns in everything around us, then why do we often strip it of creativity, movement, and culture when we teach it?

2 comments:

  1. Hi Clementina,

    Your reflection on George Hart’s article is such a thoughtful look at how we can bridge the gap between "logical" and "creative" identities. I really resonated with your personal story about growing up in Nigeria - it highlights a global issue where math is often cordoned off for "science students," while the arts are reserved for those who supposedly "can't do math."

    Hart’s argument about the lack of a formal definition for "math/art" feels very true to my experience as a secondary teacher. We often get stuck in a "dualistic shutdown" because we don't have a rubric for beauty or self-expression in a geometry unit. Your first stop reminds me that the barrier isn't the difficulty of the subjects, but the rigid boxes we put them in. When you mentioned that studying at UBC changed your view of math as a way to understand patterns and relationships, it made me think about how much our students miss out on when we only teach them math as a tool for accounting or physics.

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  2. Hi Clementina, thank you for sharing your reflection and your experiences at UBC. I think your question is a layered and complex one. To begin answering it, we would likely need to look more deeply into the history of education, colonialism, and broader systems of oppression.

    Mathematics has long been institutionalized and celebrated within traditions dominated by white settler men, and formal education has often functioned as a gatekeeping mechanism—maintaining power and excluding those positioned as the “other.” When mathematics is defined narrowly through rigid, Eurocentric frameworks, those who do not conform to or have access to that definition can be constructed as less educated, less capable, and historically even less human.

    Your question opens up an important conversation about who gets to define mathematics, whose knowledge counts, and how educational systems continue to shape belonging and exclusion.

    I also wonder if we need to move beyond simply asking why we teach mathematics in certain ways, and instead begin asking how we can empower ourselves—and our students—to flourish through math and art. Rather than remaining in critique alone, perhaps the next step is imagining and enacting new possibilities. What would it look like to create spaces where multiple ways of knowing, creating, and expressing mathematics are genuinely valued? How might we design tangible learning experiences that invite curiosity, embodiment, and cultural connection, so that students see themselves not as outsiders to mathematics but as capable contributors to it?

    I’m also thinking about our experiences at UBC—moments that felt expansive, interdisciplinary, and reflective. What might it mean to carry those paradigm-shifting experiences into our own classrooms? How can we translate that sense of openness, experimentation, and critical awareness into learning environments where students are invited not just to learn mathematics, but to reimagine it?

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https://docs.google.com/presentation/d/1aKo1NBUWyKRRUJFRtsMAY4ITfhQYytLp/edit?usp=sharing&ouid=110902289334019534432&rtpof=true&...