Ordinary Shrinking Water Drop


Apparently that happens every time a drop of water hits a bigger body of water.

I have watched this video three times already and I find myself getting more and more fascinated every time I watch it. First of all, the fact that so much beautiful complexity can exist beyond the detection of our eyes is amazing enough, but the nature of the complexity, the wonderful symmetry, and the transformational nature of it blows my mind.

Anyway, what does it have to do with geometry? That’s your job. What questions can we ask about this video? When you think of a question, think about what information we would need to answer the question and beyond that, think about if the video gives us enough to find the needed information.

Post your thoughts in the comments.

Dolphins Blowing Bubble Rings


This fascinated me for lots of reasons.

1. Aren’t bubbles supposed to rise to the top of the water? (This gets brought up in the video, too.)

2. There must be some kind of movement to the rings, meaning there is a technique. That means that the dolphins are TEACHING each other skills that require some level of expertise.

2a. How did the first dolphin perfect the technique?

2b. Why did the first dolphin perfect the technique?

2c. How did the first dolphin train other dolphins?

2d. Why did the first dolphin train other dolphins?

2e. Could the dolphins teach ME to do that?

3. I wonder if they teach each other as to include others or if being able to make a bubble ring is a status symbol in the dolphin culture.

4. What about the rotation of the ring allows it to, seemingly, defy traditional fluid dynamics?


If anyone can answer ANY of these questions (especially 2e.), then add them to the comments.