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1. ## A Riddle Within Reach

Ah, about as close as you can possibly get actually...
2. ## Bowling for equilateral triangles

Maybe it would help to have a picture of the pins to color So if he had that arrangement Captain Ed showed and X's were red striped while O's were black striped, he would have the equilateral triangle of red pins shown in blue (plus a horizontal mirror image of it connecting three black striped pins in an equilateral triangle). And your task is to prove how many cold ones he had when he made that statement.
3. ## A Riddle Within Reach

Maybe something less ultimate
4. ## Bowling for equilateral triangles

Nah, it's pretty straightforward with a moderate amount of logic-ing. I'm surprised it hasn't been solved yet, unless the issue lies in understanding what the question is really asking for.
5. ## I’m not an eagle

Right on! I would count either that one, or since they might not be commonplace to some people...
6. ## I’m not an eagle

Barber's scissors is a pretty good fit. But I'm looking for something that's more commonly associated with perching in a line and flocking with its kind.
7. ## Bowling for equilateral triangles

IDK, I'm just a biologist It doesn't have anything to do with the fact that any two-color coloring of all possible lines connecting the vertices of a hexagon (without any three colinear points) must create a monochromatic triangle, at least as far as I can tell. And there's probably more to the theory than just that. But for this case, we're told the color of the bowling pins' stripes, not lines connecting them, and they sit in a hexagonal tiling with lots of colinearity and every angle being a multiple of 60 degrees.

I'll go with
9. ## I’m not an eagle

Not peas, I can drop stuff that'll make you more splendid than them.
10. ## I’m not an eagle

Why thank you, Shakee. I learn by watching the best. Not a feather -- the "I" in this riddle has a curved beak and sheds the droppings, and isn't an eagle or anything too similar.
11. ## I’m not an eagle

I perch in a line And flock with my kind Behold as my wings are extended By curve of my beak Are smoothened and sleek Relaxing among the ascended My droppings don’t dread Evading your head They won't splatter, but make you quite splendid
12. ## A Gentle Riddle

Moving to the other side from my previous answer... Edit: guess I was a day late and a dollar short. Good riddle, Shakee, and nice solve, Thalia
13. ## A Gentle Riddle

I was thinking of but I also like Wilson's answer with the "lighter than a feather" line (although that clue might still apply to my answer in my case =p)
14. ## Brain Teaser

I was thinking that 5) The Chilean, who is not next door but one to the Belgian... means that there's one pitch between the Chilean and the Belgian. If st3v3n80 is able to ask the friend who gave him the problem these clarification questions, maybe we could sort it out.
15. ## Brain Teaser

I'm coming up with an almost complete solution, but I have ambiguity on who prefers letterbox or virtual caches, which I think could belong to either of two people.
16. ## Bowling for equilateral triangles

Bob, who's a fairly bright guy, went out to the bowling alley with his buddies. They noticed that some of the bowling pins had the typical red stripes and all of the others had black stripes instead. At one point after a new set of 10 pins were laid down, Bob commented that there were no equilateral triangles formed by pins with the same color stripes. How many beers did Bob have by that point? Provide a proof.
17. ## A Lovely Little Riddle

Trying to think like a homeroom student...
18. ## A Lovely Little Riddle

I was thinking the same as Thalia. Let's see if this works. @plainglazed @Wilson @DudleyDude @fabpig Master Shakee hath returned.
19. ## Poisonous apples

I agree with Flamebirde's answer. But I would add a bit more to it.
20. ## The Executioner's Riddle

I'll count being in any way confused for Shakee as high praise. As for this one
21. ## Hot Love Riddle

Pretty sure it's one of these
22. ## Hot Love Riddle

Cats tend to be sort of lazy by nature, so that's my excuse. But to kick things off

24. ## Walk the pattern

Yes, and this has got to be among the most counter-intuitive properties of infinity that I know of.
25. ## Walk the pattern

Good, but now for the kicker. There's a reason I didn't specify the order in which I pulled out the rugs in the OP. After I finished pulling out every rug and walking the pattern forever, I went back and picked up all my rugs. Then instead of alternating odd-gons and 4x-gons, I placed two 4x-gons in a row before placing the next odd-gon. I still turned the same direction on every rug that I did before: still clockwise on every odd-gon and counterclockwise on every 4x-gon, so in the pattern 4-gon, 8-gon, 3-gon, 12-gon, 16-gon, 5-gon, 20-gon, 24-gon, 7-gon, 28-gon, 32-gon with clockwise turns on blue and counterclockwise on red. After that second forever, which way was I facing?
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