this post was submitted on 23 Jan 2025
21 points (100.0% liked)
[Migrated, see pinned post] Casual Conversation
3417 readers
12 users here now
We moved to !casualconversation@piefed.social please look for https://lemm.ee/post/66060114 in your instance search bar
Share a story, ask a question, or start a conversation about (almost) anything you desire. Maybe you'll make some friends in the process.
RULES
- Be respectful: no harassment, hate speech, bigotry, and/or trolling.
- Encourage conversation in your OP. This means including heavily implicative subject matter when you can and also engaging in your thread when possible.
- Avoid controversial topics (e.g. politics or societal debates).
- Stay calm: Don’t post angry or to vent or complain. We are a place where everyone can forget about their everyday or not so everyday worries for a moment. Venting, complaining, or posting from a place of anger or resentment doesn't fit the atmosphere we try to foster at all. Feel free to post those on !goodoffmychest@lemmy.world
- Keep it clean and SFW
- No solicitation such as ads, promotional content, spam, surveys etc.
Casual conversation communities:
Related discussion-focused communities
- !actual_discussion@lemmy.ca
- !askmenover30@lemm.ee
- !dads@feddit.uk
- !letstalkaboutgames@feddit.uk
- !movies@lemm.ee
founded 2 years ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
Pi as in math like Euler’s identity, cannot be changed. It arises from the definition of e and imaginary numbers, both of which arise from the natural numbers which arise directly from axioms.
Pi as in the ratio of a circle’s circumference to its diameter, however, could be changed, in which case you would change the fundamental geometry of space. This would be neither hyperbolic nor spherical space because those spaces still use the mathematical pi for determining angles (along with hyperbolic trig functions of course).
The geometry would likely be much closer to Chebyshev or Taxicab space since the ratio of circumference to diameter in those spaces is 4 (I think…). Because of this, I suspect that using a distance function like in Chebyshev or Manhattan but with a triangular grid instead of a square one would yield this exact situation where geometric pi=3. This would be confusing as hell but now I’m curious and have coincidentally already started exploring the concept of metric spaces so I’ll look into it. Though I’ll probably get distracted and forget…
Edit: Found it, Chebyshev distance on hexagonal grid would give a circumference/diameter ratio of 3. So a metric space with a distance function like that is the geometry you want.