About Us

Why We Fold Circles

Folding a circle is an opportunity  to think in a different way—to see what cannot be seen, and to do something unfamiliar.   A circle is usually perceived as a two-dimensional shape; removed from the flat plane, the circle transforms to a three-dimensional form.  Folding a circle reveals dynamic triangular grids and symmetries that mirror structures, forms and systems found in the natural world. There is much beauty and truth of relationships to be found in the circle.

From his first fold in the circle, Bradford Hansen-Smith discovered that everything he had learned about geometry and math could be revealed through this simple act of folding, reforming, and joining circles. He refers to this practice as Wholemovement™—a direct, embodied way to explore and understand  pattern and  proportion through moving the circle in relation to itself.

The roots of circle folding reach back to Friedrich Fröbel, the German educator who created kindergarten in the mid-1800s. Beginning from a center point, Fröbel folded the circle into three diameters. A century later, Buckminster Fuller, an American inventor and philosopher, expanded on Fröbel’s work by proportionally folding three diameters in four individual circles and joining them to form a spherical Vector Equilibrium.

"Wholemovement is the next step in evolving understanding that applies to all human experience as we begin to realize the enormity and coordination in this aggregated universe."

Associate Professor Dr. Md Nor Bakar - University Teknologi Malaysia

"What a wonderful practice, the folding, the all inclusiveness of the circle and the music within!"

Adult Workshop Participant

"The uniqueness about the geometry of Wholemovement is decidedly different from a traditional approach, and suggests that Wholemovement may have a place in the ongoing development of teaching mathematics."

Participant, Wholemovement workshop for National Institute of Education in Singapore

Who We Are

We are a father-daughter partnership exploring the beauty and complexity of relationships and patterns that shape the natural world and the human experience. Our individual skills and perspectives inform our collaboration and our shared commitment to bring the transformative potential of folding circles into practice.

As both artists and educators, we’ve seen firsthand how working with circles opens new ways of learning and insight—on an experiential level—for teachers, students, families, community organizations and individuals alike.

Read more about Ash ...Read more about Bradford ...
A cute photo of father and daughter team Bradford and Ash, with their heads pushed closed together, smiling.

"I cannot begin to tell you how fulfilling it was to teach folding circles."

Chrissy Dart - Middle School Teacher

"I found the blend of art and mathematics refreshing. While math is certainly predominant, the idea of "learning by doing," especially when applied in such an original way, will likely appeal to a range of learning styles."

Homeschooling Parent

"Wholemovement is the next step in evolving understanding that applies to all human experience as we begin to realize the enormity and coordination in this aggregated universe."

Associate Professor Dr. Md Nor Bakar - University Teknologi Malaysia