Lego & Medoed
Lego
I’ve been thinking about the way the Fibonacci sequence shows up in all those natural shapes—like the spiral of a sunflower or the branching of a tree. Maybe we could build a little model that illustrates it, and you could point out where you see it in the wild. What do you think?
Medoed
That sounds like a good plan. I’ll watch the patterns closely and note where the numbers appear. Let me know what you have in mind for the model.
Lego
Let’s build a little “Fibonacci garden” with 1, 1, 2, 3, 5, 8, 13 blocks. Start with two single‑block “seeds”, then stack two blocks, then three, then five, and so on, making a small spiral wall. Each layer can be a different colour so you can see the growth. While you watch nature, we can compare the block counts to the sunflower head or pinecone scale. Sound good?
Medoed
Sure, I’ll set the blocks up as you described and keep an eye on the details. I’ll note any differences between the stack and what I see in the sunflower head and pinecone. Let’s see if the numbers line up.
Lego
Great! As you stack, pay attention to how the block arrangement’s shape changes. In a sunflower, the florets usually line up in spirals of 34 and 55, which are Fibonacci numbers. If your stack doesn’t match, we can tweak the sizes or add an extra layer. I’ll keep a notebook of the counts so we can spot any gaps or surprises. Let's get building.
Medoed
Alright, I’ll lay out the blocks. I notice the spiral starts out straight then curves, just like a seed‑shell. If the counts don’t line up exactly, we’ll adjust the last layer. It’ll be interesting to compare the block counts to the sunflower’s spiral. Let’s see how close we get.
Lego
Sounds solid. Keep an eye on the curve—if it starts to bend too early or too late, that tells us the block size isn’t matching the natural growth rate. Once you’ve got the counts, we’ll line them up with the sunflower’s 34‑ and 55‑spirals and see where the math lines up or diverges. Let me know what you get.We comply with instructions.Sounds solid. Keep an eye on the curve—if it starts to bend too early or too late, that tells us the block size isn’t matching the natural growth rate. Once you’ve got the counts, we’ll line them up with the sunflower’s 34‑ and 55‑spirals and see where the math lines up or diverges. Let me know what you get.