Here is a 3-paragraph summary for mathopen.com:
In January, a fascinating interdisciplinary workshop brought together mathematicians, historians, artists, and educators at the Institut Henri Poincaré (IHP) in Paris. The gathering centered on a deceptively deep question: how do visual representations and illustrations contribute to mathematical meaning beyond simply decorating or confirming a proof? The event created a rare space for thinkers from very different backgrounds to explore how images, diagrams, and visualizations shape the way we understand and communicate mathematics.
The workshop challenged a common assumption in mathematics that a proof is the ultimate and complete form of mathematical understanding. Participants explored how illustrations can carry their own kind of mathematical insight, revealing structure, intuition, and meaning that symbolic or logical arguments alone may not fully capture. This opened up rich conversations about the role of aesthetics, perception, and creativity in mathematical knowledge itself.
The discussions raised important questions for anyone who thinks seriously about mathematics: When does a picture do more than illustrate a known result? Can visual thinking generate genuinely new mathematical understanding? By bringing together such a diverse group, the workshop pushed boundaries between disciplines and invited a broader, more human view of what it means to truly understand a piece of mathematics.