45² (45 Squared)

Model January 29, 2025
No folding instructions for this model are listed on my page.
This is the primary page for this model.
Paper: Banana Paper
Type: letters and digits, origami painting (implies: abstract, figurative tessellation, figurative, geometric, symbol, tessellation)
Author: Michał Kosmulski
Colors: purple/pink
In albums: New Year Models, Showcase

The model — Images are licensed under the Creative Commons Attribution-NonCommercial 4.0 International License

Precreased 45×45 grid, before adding diagonals — Images are licensed under the Creative Commons Attribution-NonCommercial 4.0 International License

Keeping up my tradition of designing a special model for each new year, I came up with this one, called 45² (pronounced 45 squared). 2025 is a perfect square: 2025 = 45². It is the only such year I expect to see during my lifetime, the previous one being 44² = 1936, and the next being 46² = 2116, so I couldn’t miss the opportunity.

The model is folded from a 45×45 grid, consisting of 45² = 2025 little squares. In order to visualize this, I folded from a full grid rather than using my clean folding techniques that hide the grid. The finished model is 20×25 grid units (vertical×horizontal). I had to cheat a little this since the model resulting from the collapse of just the digits is slightly larger, and folded the edges behind in order to get the desired size.

Finally, the model is folded from banana paper. I selected it due to interesting looks, and since I wanted to test this sheet I got in the summer (long story short: it’s not well suited for tessellations). Finding the time to finish the model took me almost all of January, and this time gave me the impression that I can ascribe additional meaning to this choice since it seems 2025 is going to be completely bananas.

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