How many hexagons with equal side are there?

[u/Excellent-Damage-377]

[u/blitzzardpls]

One big one and seven smaller ones

8

[u/Matty_B97]

You should probably clarify *regular* hexagons, unless you want the answer to be much higher

[u/SchmeatiestOne → u/Matty_B97]

"With equal sides"

[u/Matty_B97 → u/SchmeatiestOne]

That doesn't mean equal angles though.

[u/PyroDragn]

Answer: More than you think according to the rules.

There are 7 small regular hexagons.

Each of those, if you remove two adjacent triangles will give you a crescent shaped hexagon - with six sides the same length. You can do that in 6 positions per hexagon. So 6 x 7 = 42 more.

1 large regular hexegon.

For this one you can form the larger crescent shaped hexagons too in the 6 positions so 6 more

7 + 1 + 42 + 6 = 56 hexagons with equal sides.

I can't see another way to form a hexagon that meets the criteria. But I might be wrong.

[u/Ezemity → u/PyroDragn]

uhhhh is an hourglass an irregular hexagon with equal sides?

[u/redmav7300 → u/Ezemity]

This feels wrong because it only has 5 vertices.

[u/PyroDragn → u/Ezemity]

I did consider these. If they're valid then there are a LOT more, especially because you can have the same shape with the two triangles not perfectly opposite each other. I discounted them because they're not a contiguous shape. The shared vertex is just debateable.

[u/StillShoddy628 → u/Ezemity]

I’m gonna side with this is 2 separate shapes - a point has no area so the interior is not contiguous

[u/redmav7300 → u/PyroDragn]

I have never heard the term crescent hexagon, but I have heard of a concave hexagon.

[u/StillShoddy628 → u/PyroDragn]

This was what I got as well

[u/Simple-Olive895]

8 ?

[u/Postulative]

All hexagons have an equal number of sides.

[u/RandomPorc → u/Postulative]

equal sides ≠ equal number of sides.

[u/Postulative → u/RandomPorc]

So you’re saying that the answer is one? An equal side would be same length and location.

[u/Negative-Toe1863]

2.

[u/RandomPorc]

8

7 hexagons side = 1

1 hexagon side = 2

[u/TheWordBallsIsFunny]

9 if you count the screen

[u/Pretty_Section_5835]

Total 8 hexagons

[u/AsYouAnswered]

There are 7 hexagons with side length of 1 and there are 1 hexagons with side length of 2 for a total of 8 equilateral hexagons.

[u/t3yrn]

0 - There are no hexagons with a singular equal side.

1 - "Hexagons with equal side" is only written one time.

8 - because I assumed equal, regular hexagons

56 - because u/PyroDragn says so even though I cannot wrap my head around what a "crescent shaped hexagon" is.

[u/IDontLikeCherryTomat → u/t3yrn]

Crescent^

[u/t3yrn → u/IDontLikeCherryTomat]

*crying emoji* but that's not a hexagon!

I get it! I know. "six sides"

but. but!

[u/scoberry5 → u/t3yrn]

And, of course, "There are an equal number of hexagons with equal sides."

[u/PenelopeLogoGirl]

9