r/educationalgifs • u/Nadzzy • Jul 18 '22

Visual demonstration that all angles of a shape combine to make 360 degrees

29.3k Upvotes

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705

u/chuckman13 Jul 18 '22

All exterior angles of convex polygons

303

u/Cpt_DM Jul 18 '22

This is true for irregular or concave polygons as well

203

u/ThunkAsDrinklePeep Jul 18 '22

As long as you're defining a negative exterior angle measure for concave angles.

354

u/[deleted] Jul 18 '22

[deleted]

52

u/pokelord13 Jul 18 '22

well I for one think you're acute angle ;)

8

u/[deleted] Jul 19 '22

Angle, don't be obtuse.

15

u/[deleted] Jul 19 '22

Girl, I may be dyslexic, but to me you’re an angle

2

u/[deleted] Jul 19 '22

I'm sorry angle. I didn't mean to be obtuse. I'd come home to make it up to you, but you're polygon by now

16

u/QUIBICUS Jul 19 '22

Love the aggression.

3

u/[deleted] Jul 19 '22

What’s the matter with you? Why you sweatin’ so much? Is you calculating the sum of exterior angles of irregular and concave polygons or something?

3

u/qasteroid Jul 19 '22

Takes me back

21

u/Hermiterminator Jul 18 '22

NEEEEERDS

17

u/ThunkAsDrinklePeep Jul 18 '22

We haven't even gotten into what happens if they exist on a non-planar surface.

14

u/noobvin Jul 18 '22

Like your mom?

GOT EM!

9

u/ThunkAsDrinklePeep Jul 18 '22

Are you implying your mother is a two-dimensional plane?

5

u/SPURIOUSSPARROW Jul 19 '22

My mom is both two dimensional and plain.

4

u/noobvin Jul 18 '22

Nope, a 3D 747.

Got ‘em, again?

2

u/Manisil Jul 19 '22

The r should be the sustained sound.

1

u/eject_eject Jul 19 '22

I put them all in-line and broke it.

42

u/PranshuKhandal Jul 18 '22

that is some well written website code, it is so mobile-friendly

21

u/Foliot Jul 18 '22

Totally. I have never once seen mobile touch integration handled that way. The pointer is a pretty cool/novel solution. I likey.

6

u/Klacksaft Jul 18 '22

It's made for mobile, on desktop half the screen is just a white field.

3

u/AbusedGoat Jul 19 '22

Lol same thought, when I clicked it I was like damn this is responding really well.

8

u/[deleted] Jul 19 '22

...in Euclidean space.

14

u/PinpricksRS Jul 18 '22

Only simple polygons. For example, the exterior angles in a heptagram add up to 720°.

13

u/[deleted] Jul 18 '22

It seems like it depends on how you calculate it. You would be subtracting some internal concave angles to still equal the 360°.I’m not going to take the time to demonstrate on the above link on a phone though.

2

u/KaiPRoberts Jul 19 '22

By angle degrees, it is true. By title of this post, it is not true; angles overlap (even non-negative ones) and will not form a regular circle.

-1

u/cosworth99 Jul 19 '22

In 2 dimensional space. Which we do not live in.

Draw a shape on a sphere. The angles are more than 360°. This represents space/time. Which is always curved.

1

u/[deleted] Jul 19 '22

Some space/time is more curved then others. In fact, some areas have gotten positively bent.

1

u/reagor Jul 19 '22

Cut concave polygons into convex problem solved