A new educational video from 3Blue1Brown explains the mathematical concept of logarithms and their relationship to the artwork of M.C. Escher.
The presentation bridges the gap between abstract algebra and visual art, demonstrating how logarithmic scaling can be applied to imagery to reveal hidden patterns.
Grant Sanderson, the creator of 3Blue1Brown, uses the video to illustrate how logarithms function and why they are applicable to visual structures. The content draws inspiration from the work of M.C. Escher, a Dutch graphic artist known for his exploration of perspective and tessellation. To provide a deeper academic foundation, the video references research conducted by de Smit and Lenstra, which was published through Leiden University [2].
The mathematical exploration also utilizes a specific reference text, "Magic of MC Escher" by J. L. Locher [1]. By combining this text with the research paper from 2003 [2], the video demonstrates the intersection of geometry and logarithmic functions. The visual aids help viewers understand how complex mathematical operations can be visualized through the lens of art.
Sanderson encourages viewers to engage with the educational material to support the channel. "An equally valuable form of support is to share the videos," 3Blue1Brown said [3].
The video is hosted on YouTube and serves as a tutorial for those seeking to understand how to take a logarithm of an image and the logic behind that process [2].
“The presentation bridges the gap between abstract algebra and visual art.”
This content reflects a growing trend in digital education where complex mathematical theories are simplified through visual storytelling. By linking 2003 academic research from Leiden University with contemporary digital media, the project demonstrates how archival academic papers can be repurposed for public science communication to make high-level mathematics more accessible.





