
2019 marks the 100th anniversary of the Bauhaus’s founding in the city of Weimar, Germany by architect Walter Gropius. The legacy of the Bauhaus has been felt throughout nearly every design discipline, in part because of the towering stature of its faculty and their many game-changing works of architecture, design, and art, but perhaps more deeply because of the body of theory produced, practiced, refined, and extolled at the school.
The ABC’s of Triangle Square Circle is a new edition of the 1991 collection of essays edited by Ellen Lupton and J. Abbott Miller that uses text, images, and experimental graphic compositions to explain Bauhaus art and design theory. “Triangle Square Circle” is derived from a theory that artist Wassily Kandinsky put forth about the intrinsic properties of the three shapes and their association with a primary color. As Lupton and Miller state in the introduction: “This is a book about theory. A theory is a principle that attempts to explain diverse phenomena, a concise concept capable of shedding light on countless situations.”
Bauhaus theorists saw simple geometric forms as the essence of natural, organic shapes. The bookend essays, Elementary School by J. Abbott Miller gives insight into how Bauhaus theorists reduced landscape and natural forms to simple geometric ones, and Beyond Triangle Square Circle: Fractal Geometry by theoretical physicist Alan Wolf explains how Bauhaus thinkers tried but ultimately failed to acknowledge nature’s complexity in their theories on geometry.
In 1925, Gropius designed a new complex for the Bauhaus school in Dessau, Germany, moving the campus from Weimar. The architecture designed in the international style became the emblem of Bauhaus architecture and thought, despite architecture not being taught at the school until 1927. The building is the centerpiece, a sculpture among a sea of rectilinear patches of grass, with ankle-high fencing to prevent people from walking on the green spaces. The landscape of the Bauhaus campus is a formal exercise, a decoration of the plinth the building sits on.

In Elementary School, J. Abbott Miller focuses on the development of the core principles of the Bauhaus through the creation of Friedrich Frobel’s kindergarten (or child garden).
As Miller explains, the name was “metaphorical as well as literal: early in his career as a teacher, Froebel discovered the importance of play in education and made gardening a central part of his pedagogy.” While gardening was lost in the Bauhaus school, playing with shapes and composition was fundamental to Bauhaus teachings.
The focus of Frobel’s teaching were a series of “Gifts and Occupations” comprised of geometric blocks (gifts) and basic craft activities (occupations). The gifts increased in complexity as the child progressed through the educational system, culminating in enough complexity to construct representations of their world with the blocks. The children began to see the world as a construction of basic elements, a theme continued and propagated by Bauhaus teachings.
Distilling the complexities of the world to their intrinsic properties became a central tenet of the Bauhaus. For Kandinsky, these often resulted in complex representations comprised of basic shapes and lines.

The practice of geometric simplification began in early education and continued through the university for those studying at the Bauhaus.
It is no wonder then that the complexities of natural forms were represented by rectilinear green shapes in the landscape of the Bauhaus campus in Dessau. They didn’t have the geometric language to represent the complexities of natural forms; fractal geometry wasn’t discovered by Benoit Mandelbrot until 1975.
In Beyond Triangle Square Circle: Fractal Geometry, Alan Wolf explains the mathematical principles of fractals as an abstraction of natural geometries that cannot be expressed through an intrinsic or simple geometry, only through an increasingly complex internal relationship between its parts.

Bauhaus’ attempts to distill all natural elements to their essences doesn’t work in a chaotic world. Today, complexity is central to our contemporary understanding of how natural and cultural systems work. For example, landscape and ecological processes, rather than formal qualities, guide projects like Fresh Kills Park by landscape architecture firm James Corner Field Operations.

The Bauhaus’ use of geometry to represent the world still holds, but the geometry we use to represent it has evolved alongside our updated conception of nature as an interwoven set of systems interacting in increasingly complex ways.
As Alan Wolf writes: “since the discovery of fractal geometry in 1975, it is no longer possible to represent nature with a starter Lego set limited to such simple forms as triangle, square, and circle. Now we know that we need an advanced set of building blocks, which includes fractal forms of various types.”