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“I make mathematical sculptures by taking abstract ideas from mathematics and transforming them into physical forms. Even viewers who are not mathematicians can get a feel for the logical structures underlying an artwork.”
- George William Hart
George William Hart is a retired American professor of Electrical Engineering at Columbia University in New York City. He co-founded the Museum of Mathematics in New York City, where he also helped design many of its exhibits. He has also worked on multiple projects with his wife, Elisabeth, some of which have inspired several of his mathematical sculptures.
He creates sculptures that tell a mathematical story, hoping they inspire people to see that math is not just useful but also cool. By showing how mathematics can be used to create beautiful and complex structures, he encourages viewers to become curious and explore how it all works. [1]
He is also a mathematican that has his own Youtube Channel (George Hart).
ARTWORKS
Solar Flair
Solar Flair
Solar Flair is an outdoor sculpture with a five-foot diameter, located in Topeka, Kansas. It consists of 60 identical flat pieces made of 3/16-inch thick stainless steel, which are connected using stainless steel bolts and brackets. The pieces interlink, passing through the interior, creating the appearance of arms linking together. [2]
Mathematical Concepts behind the Solar Flair Sculpture:
Polyhedral Symmetry
Polyhedral Symmetry
The Solar Flair sculpture showcases icosahedral or dodecahedral symmetry- types of symmetry found in regular polyhedra.
Modular Construction
Modular Construction
The Solar Flair sculpture is composed of interlocking identical modules, a hallmark mathematical sculpture. This is connected to the concepts of combinatorics and tiling theory.
Radial Symmetry
Radial Symmetry
“Solar Flair” exhibits radial symmetry, suggesting bursts or flares radiating outward. This is mathematically related to polar coordinates and rotational symmetry groups.
IN SUMMARY, THE SOLAR FLAIR IS...
Based in the rhombic triacontahedron
Used Icosahedral Symmetry
Involves modular, interlocking design
Combines Geometry, Symmetry, and Art
Frabjous
Frabjous
The Frabjous is an 11-inch sculpture made from 30 laser-cut Aspen wood pieces, each shaped like an elongated S with two openings. While similar to Bouquet, it’s a unique piece with a dynamic whirling effect that changes its appearance as the viewer moves around it. [2]
This sculpture is deeply rooted in Geometry, Symmetry and Topology.
Polyhedral Geometry
This sculpture is based on a truncated icosahedron. It’s a type of Archimedian solid with a symmetrical, 3D structure composed of hexagons and pentagons.
Interlocking Geometry
Frabjous is made from many identical interlocking curved elements. The way these pieces weave together without glue or fasteners uses mathematical precision and spatial reasoning- an example of modular assembly.
Symmetry and Group Theory
The sculpture is part of the mathematical study of groups; the rotation group of the icosahedron, a group related to the alternating group A5.
Topology and Spatial Visualization
While the sculpture is solid and bounded, the interwoven parts create a topological intricate form; each piece loops through space in a way that challenges our intuition about “ inside” and “outside”.
In summary, the Frabjous is built on:
Truncated Icosahedron Geometry
Icosahedral Symmetry
Modular, Interlocking elements
Spatial and Topological Elegance
in CONCLUSION...
in CONCLUSION...
George W. Hart shows that mathematics is not just about numbers and problem-solving; it can also be a medium for creativity and artistic expression. His sculptures show how mathematical concepts can be transformed into visually captivating art. Through his works, Hart encourages people to see the beauty and creativity in math. He proves that with an understanding of mathematics and a bit of creativity, anyone can create something inspiring. You don’t need to be a professional engineer or artist—passion, knowledge, and creativity are all you need.
Test Your Knowledge!
Test Your Knowledge!
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References
George Hart. “A Mathematician’s View on Math Education.” YouTube, 29 Oct. 2024, www.youtube.com/watch?v=FfT0ZLSupnY.
Hart, G. W. (n.d.). Frabjous. George W. Hart. from https://www.georgehart.com/sculpture/frabjous.html
Hart, G. W. (n.d.). Solar Flair. George W. Hart. from https://www.georgehart.com/sculpture/Solar-Flair/solar-flair.html
Wikipedia contributors. (n.d.). George W. Hart. Wikipedia. from https://en.wikipedia.org/wiki/George_W._Hart
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