Pythagoras' Tessellation

 This is a tessellation I came up with after having seen and solved one by gatheringfolds. I don't know what she named it because I actually saw it on as the instagram of someone else who had folded her design and they didn't specifically reference the title. 

When I saw it, I really liked it, but even moreso it made me think of what else I could do with one of the components. In this case, the six rhombus pyramid. 

So, after I mapped out her original tessellation, I used that foundation to create this one. 

For my design, I repeated the rhombus pyramids by spacing them out from each other. Then I worked out what shape would fill in the rest. It's  just some very large hexagons. 

I'll probably fold her original idea since I already have the crease pattern diagrammed. But I chose to fold my idea first. 

My diagram follows. 

I drew the crease pattern using one of the hexagons as the center. This would work just fine. But ultimately, I decided to use one of the pyramids as my center point. However, after having completed it, I think the hexagon as the center point would've resulted in a cooler finished model. I might try folding it with the hexagon at the center some time in the future just to see. 

Filed under: January 2025 Origami Tessellations