Sunday, 23 November 2025

Infographic of the Zeckendorf Representation

Watching a YouTube video on the capabilities of Nano Banana Pro, I thought that I might apply it to the number associated with my diurnal age yesterday: 27992. Using thinking mode and the image generation tool, I gave Gemini the following prompt:

Create an infographic on the Zeckendorf number base representation of a positive integer using the number 27992 as the example. The infographic should explain clearly how the representation is arrived at as well as the Fibonacci numbers that comprise it. The binary form of the representation should also be explained where the 1's and 0's replace the actual Fibonacci numbers. There should be a photo of Zeckendorf along with a brief biography. The colour scheme should be pastel and a 16:9 aspect ratio suitable for placement in a blog post that will be viewed on a desktop computer. There should be a border around the infographic and it is most important that the text should stand out and be easily readable against the background colours. A sans serif font like Ubuntu should be used. 

I was skeptical that such a task could be completed but I was pleasantly surprised by the final product. Figure 1 shows the infographic that Nano Banana Pro created in png format. Double click to see it in a larger view.


Figure 1: public link
Created using Gemini's Nano Banana Pro

This is seriously impressive. The AI did everything asked of it and the task was completed almost instantly. There is also an infographic-generating option within NotebookLM so I'm keen to test that out on some blog posts that I upload in the near future.

Coincidentally, today's date, November 23rd, is regarded as Fibonacci day because of the digits involved:$$ \text{November 23rd } \rightarrow 1, 1, 2, 3$$

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