Convex Polygon Test

Convex Hull

It makes them meet.

They divide them farther.

This polygon is convex.

Construct the convex hull of this polygon

And I'm not going to give the formal definition for what is a convex function, c o n v e x, but informally a convex function means a bow shaped function, you know, kind of like a bow shaped.

Select the polygon you want to test for convexity...

Select the polygon of which you want to construct the convex hull...

Check whether this polygon is convex

This polygon is not convex.

And the property of parallel lines is that they never meet.

So the mode is a useful statistic if your distribution of data is what is called multimodal.

So here's GDP per person in America.

Over which you will see no curves or elevations.

In which you shall neither see ups nor downs.

wherein thou wilt see no crookedness neither any curving.'

Wherein thou shalt not see any crookedness or ruggedness.

You will see therein nothing crooked or curved.

You will see in them neither crookedness, nor deviation.

in which you shall find no crookedness or curvature.

Wherein thou seest neither curve nor ruggedness.

You will not see any crookedness or unevenness in it.

with neither crookedness nor any curving to be seen therein'

You will not see therein a depression or an elevation.

that you will see no depression or elevation in it .

You shall not see therein any crookedness or unevenness.

with neither hollows nor upthrust mounds to be seen.

Nothing crooked or curved wilt thou see in their place.

The technical term for this is that this is called a convex function.

These tuned structures allow the spines, friction pads and ultimately the adhesive hairs to grab onto very challenging, difficult surfaces.

Test whether a given polygon is convex

In multimodal distributions, you have a curve that has multiple bumps.

A polygon that corresponds to the convex hull of another polygon

This one is called bimodal because it has exactly 2 bumps.

And here you can see that it's walking over unstructured terrain.

Octahemioctahedron

Tetrahemihexahedron

What about your mouth?

And I'm going to break it down for you for just a second.

I don't care for lawyers, do you?

you live. mmhm.

But then if it was transparent, we see that there are actually six sides of a cube.

If I were to just flip this over like this, so we're

Batman may have made the front page but Bruce Wayne got pushed to page eight.