Week 36: Golden Angle Scavenger Hunt and Drawing Phi-Nominal Phi-lowers
![a sunflower making a heart](/content/images/size/w960/wp-content/uploads/2020/06/snapseed-14-2.jpg)
![a sunflower making a heart](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/snapseed-14-2.jpg)
The Golden ratio appears in nature all around us. Flowers and other botanicals often grow at an optimal (Golden) angle of about 137.5 degrees. For the 52-weeks of math activity, I encourage learners to seek out the Golden angle on a scavenger hunt. Take pictures or sketch in a nature journal the pinecones, flowers, and other botanicals that grow in Fibonacci/Golden Ratio spirals. Count the petals, trace the spirals, and collage the scavenger hunt together. Nature is one of the best ways to explore math.
![a purple flower with phi petal placement](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/img_9874.jpg)
![a half open sunflower](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/snapseed-12.jpg)
![](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/snapseed-14-2.jpg)
![a dhalia with multiple colors](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/img_4749.jpg)
![a dhalia with half and half coloring](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/img_5039.jpg)
![the inside spiral of a sunflower](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/snapseed-15-2-1.jpg)
Scavenger Hunt
Additionally, I created a Golden Angle grid paper for learners to sketch their own “Phinominal Phi-lowers.” Feel free to print it and play with the spirals and dots. Sometimes seeing flowers, pinecones and succulents can provide inspiration for unique flowers.
For a digital Phi playground and some more background information on Phi (click here).
![](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/phi_grid.png)
![a drawing made by a student on the phi grid paper](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/img_9939.jpg)
![a student drawing](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/img_9942.jpg)
![a colored drawing with phi](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/img_9946.jpg)
![](https://www.fractalkitty.com/content/images/wp-content/uploads/2020/06/img_9916.jpg)