The Magic Flower

While Nano Bananas has been doing a rather poor job of translating my image prompts into what I want, it did a pretty good job in dealing with what I wanted this image transformed into. Figure 1 shows the original image as it is appeared in a Cliff Pickover tweet.

Figure 1

This was my prompt:

This image, showing the numbers from 1 to 81 connected by lines, has been referred to as a magic flower. Can you enclose each number shown in a circle just large enough to contain the number and retaining the white background. Outside of these circles, I want the petals coloured in soft rainbow colours. The number at the centre, 41, should also be surrounded by its small circle but this central area, outside the circle containing 41 but inside the outer boundary, should be coloured yellow. The area outside the petals to the edges of the image should remain while and any text or imperfections should be removed.

Figure 2 shows the satisfying result that is clearly much more visually appealing than the original and the numbers are also easier to identify. This is what Cliff added in his tweet: 

"Magic flower."  Each line segment sums to 123.  Example: 6 + 37 + 80 = 123.  Each numerical entry, from 1 to 81, is depicted only once in the figure.

Figure 2

For once, Nano Bananas delivered the goods. It clearly works better when an actual image is provided that you want modified. For example, in my previous post titled 28003: A Lesson Learned, the program kept creating the number 2803 instead of 28003, despite repeated requests to correct the error. In the end I gave up and got ChatGPT to create what I wanted and that's where the image in the blog post came from. I think what I should have done was to make a rough sketch of what I wanted and uploaded that. I'll do that in future.

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:$$ \text{November 23rd } \rightarrow 1, 1, 2, 3$$