• 0 Posts
  • 7 Comments
Joined 1 year ago
cake
Cake day: June 11th, 2025

help-circle
  • hakase@lemmy.ziptoWikipedia@lemmy.world•Pizza theorem
    link
    fedilink
    English
    arrow-up
    6
    ·
    edit-2
    2 days ago

    It does assume only one cutting point interior to the pizza:

    “Let p be an interior point of the disk, and let n be a multiple of 4 that is greater than or equal to 8. Form n sectors of the disk with equal angles by choosing an arbitrary line through p, rotating the line ⁠n/2⁠ − 1 times by an angle of ⁠2π/n⁠ radians, and slicing the disk on each of the resulting ⁠n/2⁠ lines.”

    My previous comment may have been ambiguous, so I’ve edited it to be clearer. I meant that very rarely do all of the cuts go through one point - when slices are uneven in my experience, that usually comes along with a few extra mini-triangles in the middle of the pizza where the cuts have missed each other.



  • hakase@lemmy.ziptoComic Strips@lemmy.world•Killer Words
    link
    fedilink
    arrow-up
    17
    ·
    edit-2
    3 days ago

    As others have pointed out, these words are homophonous in most North American English dialects, but for more context, this is due to a phenomenon called flapping.

    Basically, even though /d/ and /t/ are phonemic (that is, contrastive; speakers can use them to distinguish words and hear them as different sounds) in English, in certain positions in the middle of a word (specifically when placed between a stressed vowel and an unstressed vowel), both the /d/ and the /t/ become a different sound, flap/tap. See, e.g. butter, bottle, writing, riding, wedding, loader, etc.

    And, since they both become flap in this position, the contrast between them is neutralized, meaning that they are pronounced identically and speakers can no longer tell them apart, creating many sets of homophones in the process like “latter” and “ladder”.

    There are further interesting complexities in flapping across English dialects, in particular the interaction of flapping with Canadian Raising, so if anyone has any questions or wants me to go into more detail, let me know!