What’s annoying to me about this is that you’re presenting it as a gotchya, but you are, in fact, meeting the definition of a circle. You’re just defining it in non-euclidean space. Which is still valid. So, like, yeah. That’s a circle. It’s just not a euclidean one.
2026-07-07 18:08:33
6551
chilidawg8492 :
Behold, a coffee cup:
2026-07-07 17:37:23
614
RubberMonkeyPants :
That isn’t a geometric plane. Where’s the wings?
2026-07-08 07:18:29
3
travisloch :
Aren’t planes by definition flat? I’m not sure this meets the requirement
2026-07-07 16:04:40
2166
frank :
define plane real quick
2026-07-08 06:44:21
5
Choruatt :
I'm actually impressed with this example, and I find it interesting how many comments don't understand how semantically it's correct.
2026-07-07 20:58:05
18
HomoSapisiens :
The phrase "By definition, this is a circle" is simply false. The definition explicitly says on a plane. A surface with curvature is not a plane, so the definition no longer applies. You changed the assumptions, not the mathematics.
2026-07-08 06:33:32
17
starzwarz :
congrats, you discovered topology. 👏. if you flattened that hill, it'd look like a normal circle
2026-07-07 14:24:39
630
Tom :
Every point is the same distance from the center - so this isn't a circle
2026-07-08 07:27:00
0
lebradragon :
these kinds of circles are used as radius on topology, you did create proper circle that is affected by topology. one of many kinds of circles.
2026-07-07 16:32:11
106
PattiMurph | 2027 Groom :
so thats not a plane. a plane is 2d. a plane requires EXACTLY 3 non-colinear points. it can have more within the plane(obviously) but if any points are not within the plane, it creates a new dimension and new plane.
2026-07-07 20:28:57
8
Vincent :
That is correct but it's not Euclidean which is usually the way we like to imagine circles
2026-07-07 15:34:09
26
ToastyPatrick :
if you define the metric space correctly, a square is a circle
2026-07-07 13:45:10
528
Summit :
No because that doesnt count as a plane mathematically because it moves into 3D space. That isnt the plane the circle resides on and it isnt equal distance from the center
2026-07-07 16:13:24
19
Nashe :
how is that a plane? you added a hill
2026-07-07 13:47:49
10
LUX :
oh I like you
2026-07-08 07:18:07
1
OhnoOhnoOhnonononono :
This is not a plane this is 3D space
2026-07-08 06:57:04
1
Kyann :
my dude, this is a circle, like litteraly
2026-07-08 07:43:51
0
d3m0nlurking :
A mathematical plane in a Euclidean space is defined as a _flat_ two-dimensional surface requiring any three discrete points. By placing that “bump” that space is either non-Euclidean, or not a plane.
2026-07-07 20:03:06
253
Emma :
behold a circle
(taxi-cab geometry)
2026-07-07 21:09:33
54
Narwhalicorm :
That’s not a plane, that’s a surface
2026-07-07 19:42:00
6
Lezze ⭐️ :
wait is that a plane?
2026-07-07 15:22:16
6
Martin :
*on a plane* seemed like an important criteria
2026-07-07 20:14:48
27
Серёга :
Mathematically, a plane is a completely flat, two-dimensional surface that extends infinitely in all directions.💀💀💀
2026-07-07 17:25:53
174
Devin :
not a circle, circles are 2D objects.
2026-07-07 14:47:17
10
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