We had one of my favorite WHAT IS HAPPENING moments in topology today: open balls are not necessarily round and it depends on the metric. They often aren& #39;t ball-shaped. Yes, we call them balls no matter the dimension. https://abs.twimg.com/emoji/v2/... draggable="false" alt="🧐" title="Gesicht mit Monokel" aria-label="Emoji: Gesicht mit Monokel">

Yes, I agree that this is weird as hell https://abs.twimg.com/emoji/v2/... draggable="false" alt="😂" title="Gesicht mit Freudentränen" aria-label="Emoji: Gesicht mit Freudentränen">

We& #39;re really like "Ah yes. The generalization of a ball. We will call it a ball."

I mean, the idea is that thinking about a ball in 3 dimensions should help you get the idea of the definition, but a ball is such a regular life object that explaining it feels like https://abs.twimg.com/emoji/v2/... draggable="false" alt="🤔" title="Denkendes Gesicht" aria-label="Emoji: Denkendes Gesicht">https://abs.twimg.com/emoji/v2/... draggable="false" alt="🧐" title="Gesicht mit Monokel" aria-label="Emoji: Gesicht mit Monokel">https://abs.twimg.com/emoji/v2/... draggable="false" alt="🤔" title="Denkendes Gesicht" aria-label="Emoji: Denkendes Gesicht">https://abs.twimg.com/emoji/v2/... draggable="false" alt="🧐" title="Gesicht mit Monokel" aria-label="Emoji: Gesicht mit Monokel">

Mathematicians often have the same naming energy as this lyric and I love it.