Kinda forgot the sides being parallel part. Like missing a step in assembling IKEA furniture, its not gonna turn out right.
Those arc sides are parallel in polar coordinates.
You don’t normally need to specify that the sides are parallel if you specify four right angles.
Also pretty sure definition of a shape requires only one enclosed or contiguous area.
This one is enclosed and contiguous though, the lines of the triangle end where the circular line starts. (The rest is just a drafting residue.)
No, it is 2 contiguous regions. The line of separation is the bounding line of a “shape.”
Otherwise, the entire whitespace outside of the region is also part of the shape, as is anything it touches.
OK, imagine the space outside of the shape is black, or see through or whatever.
Well then the line of separation means nothing and then you’ve lost two right angles to the contiguous void.
Why? Does a cube floating in the void not have angles?
Without a distinction of where the cube begins or ends it does not because there is no cube and there are no angles.
The angle of the triangle that protrudes into the circular part is not a right angle.
My apologies you’re correct, you lose two right angles.
Easy there Diogenes.
The angle of the arc in degrees is (180π-90)/π², or if you’re a person of culture, the angle is (2π-1)/2π
so that doesn’t seem like 90 but I’m just guessing
That angle doesn’t count. It’s just for constructing the straight lines; it’s not part of the “square”.
270°≠90°
You could say a regular square has 4 270° exterior angles
When you miss one important constraint in your CAD project.
Oh man I felt this.
This is a square in polar coordinates
This has an infinite number of sides
Anarchy geometry
deleted by creator
If anyone makes this community, let me know please.
i will make it, but i won’t tell you
NOOOOOoooo…!
Plato boutta flip the table.
This is what AI would give you after countless tries strating with a triangle and having gone up the Pentagon and down to two pairs of unconnected parallel lines…but what if all equally sized lines were connected? Bam! This
Fun Fact: It is very difficult to get any of the image generators to make a pentagon.
I thought this couldn’t be true, so using one of the newer models (4bit flux) I told it to make a 5 sided star, and then put lines around the outside
lol this is very weird, did they forbid it from looking at pentagons in the training data or something? it can’t do The Pentagon either, it gives it 8-12 sides instead
I don’t really know, but I think it’s mostly to do with pentagons being under-represented in the world in general. That and the specific way that a pentagon breaks symmetry. But it’s not completely impossible to get em to make one. After a lot of futzing around, o1 wrote this prompt, which seems to work 50% of the time with FLUX [pro]:
An illustration of a regular pentagon shape: a flat, two-dimensional geometric figure with five equal straight sides and five equal angles, drawn with black lines on a white background, centered in the image.
quick test, with that prompt and flux schnell gguf 4 bit again:
- pentagon: 1
- hexagon: 9
- heptagon: 2
- octagon: 7
- decagon: 1
it seems a lot stupider than pro lol
thinking outside the square
A square has all right angles inside the structure. This thing has two inside and two outside.
If you add that to the definition, you could still have a “square” with a segment of a circle connecting the edges in the middle
Then that section would be of a shorter length.
Ah, got me
Parallelogram.
But arent the ones from the circle 90 degrees on the inside of the circle as well? The squares could’ve just as well been placed on the other side of the (circle) lines.
No, the two angles are not equal. Outside/inside angles add up to two π radians. A square has four interior angles of 1/2 π radians, and four exterior angles of 3/2 π radians.
This is true, however now it has 4 inside and two outside the structure, so it now has something a square doesn’t has.
Out of 4 lines
Could be a square in a two dimensional space with different rules.
Is a corner with an angle of 180 degrees a corner? If yes, then all shapes have infinite corners and infinite edges.
free real estate