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View Full Version : Polygons by logic

vrh
07-14-2014, 11:05 AM
Which one should be the next?
http://mkerala.com/n/di/F704/p2.png

kellyanne10
07-14-2014, 11:26 AM
B, is my guess.

vrh
07-14-2014, 11:29 AM
I'm not so sure. Why not D or E?

Puffer
07-14-2014, 09:33 PM
My guess would be B

vrh
07-15-2014, 06:52 AM
My guess would be B
Would you mind to explain your guess?
For example, I would rather choose D over B simply on the basis two pentagons are offered in solutions.

cerine
07-15-2014, 08:28 AM
I would guess B as well. Counting the number of angles/sides, you get 12, 7, 9, 6, __. One possible pattern I see would continue 6, 5, 3, 4, 0, 3, which would make B the right answer. Of course, another possible pattern I see would continue 8, 7, 9, making A the right answer; but since this pattern kind of breaks down after that and the polygons are alternating (at least so far) between one and two per picture, I'm disinclined to go with A. Of course, it's entirely possible that the correct answer is based on a pattern I'm not seeing at all.

07-15-2014, 08:50 AM
Or, it could be A.

If you take away all the edges in the diagram, and see just the points, then you can draw a single convex polygon with all those points as vertices. The pattern is the number of those vertices: 8, 6, 6, 4, 4.

vrh
07-15-2014, 09:58 AM
If anything I'm confident in saying it isn't A or C :)

terri1001
07-15-2014, 11:09 AM
Polygon number three looks like a merge of the first two pictures, with maybe some rotation involved. If so then logically, the fifth polygon will be a merge of pictures 3 and 4. Therefore B is the answer. Or not.

Rimstarzzz
07-15-2014, 12:10 PM
its gotta be either b d or e

Rimstarzzz
07-15-2014, 12:11 PM
Or, it could be A.

If you take away all the edges in the diagram, and see just the points, then you can draw a single convex polygon with all those points as vertices. The pattern is the number of those vertices: 8, 6, 6, 4, 4.

07-15-2014, 01:04 PM

It's not that hard. Construct a convex polygon containing all the points in one of the diagrams:

http://cgm.cs.mcgill.ca/~beezer/cs507/mygifs/figure3.gif

Then count the vertices of the new polygon.

cerine
07-15-2014, 05:55 PM
Except that the resulting convex polygon doesn't use ALL the points from the original -- just the ones that conveniently fit into drawing a convex polygon. Since you said "with all those points" I'm not surprised I was the only one confused.

Puffer
07-16-2014, 06:04 AM
Would you mind to explain your guess?
For example, I would rather choose D over B simply on the basis two pentagons are offered in solutions.

Cerine explains my reasoning perfectly.

I would guess B as well. Counting the number of angles/sides, you get 12, 7, 9, 6, __. One possible pattern I see would continue 6, 5, 3, 4, 0, 3, which would make B the right answer. Of course, another possible pattern I see would continue 8, 7, 9, making A the right answer; but since this pattern kind of breaks down after that and the polygons are alternating (at least so far) between one and two per picture, I'm disinclined to go with A. Of course, it's entirely possible that the correct answer is based on a pattern I'm not seeing at all.

vrh
07-27-2014, 04:34 PM
One more of the same sort:

http://gifyu.com/images/res.png

terri1001
07-28-2014, 07:09 AM

vrh
07-28-2014, 07:43 AM
I don't know it

07-28-2014, 08:27 AM
My suspicions were that the puzzles were made up by the person posting them, and that no real solution is behind them.

Do I win something?

vrh
07-28-2014, 12:05 PM
I didn't make these puzzles.
Althought it may seem they don't make sense, there must be logic behind them. Needless to say, they are tricky.

vrh
09-24-2014, 02:15 PM
One more of the same sort:

http://gifyu.com/images/res.png

There are no repeating poligons in the sequence of boxes. That would eliminate answers B,D,E. And in no case outside colouring and inside colouring are the same as the previous box. That would eliminate answer C. Thus A