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8/10 Pyramids

Complete the matrix

There are three types of circle sets.

Concentric circle set, independent circle set, circle touch externally circle set.

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What is two times two?

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Andisays...

For this one, you have to look at diagonals.

Diagonal in the middle is the unknown, so let's check the other 2. We construct these other 2 diagonals by extending the matrix (kinda like in pacman, where the right side loops back to the left).

To start, we also have to identify the 4 distinct shapes: black triangle, wireframe triangle, solid inner circle and thin outer circle

- (1, 2), (2, 3), (3, 1) are:

thin outer circle & triangle + thin outer circle = thin outer circle + wireframe triangle

- (2, 1), (3, 2), (1, 3) are:

solid inner circle & triangle + solid inner circle = solid inner circle + wireframe triangle

As such, if we follow the pattern, then:

- (1, 1), (2, 2), (3, 3) are:

thin outer circle & solid inner circle & triangle + thin outer circle & solid inner circle = thin outer circle & solid inner circle & wireframe triangle

The solid triangle kinda "spreads" itself over the common shapes of the other 2.

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evil jordansays...

So the way that I see it is that there always are symbols appearing twice and then theres one symbol only which only appears once. Wouldnt this mean that the right answer is F?

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Annsays...

The only pattern I can find: there is 6 of each of the bigger circle sets, three of the smaller, three of each triangle. I find inconsistencies in all other patternes mentioned here.

Also, English is not my first language, but I don't understand what described circle set belongs to what set of circles. I see one set of small thin circles with lines attatched to them, one set of medium circles with thick lines, one set of large circles with thin lines. Why is one of them describes as concentric, and which one is that? Aren't all circles sets here part of a concentric shape/placement at some point in the matrix? Or are the concentric circles the ones cut by a line with the bigger outline disappearing in the first row because of alignment with a big circle? If so, why does the concentric circle appear in the first row? I thought it might be the effect fo the solid triangles, but then why do they also appear in the first column of the last row?

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Beausays...

The independent circles and the outline circles are shown independently and concentrically in every row. So the third option in row three must be the concentric circles. Then you look at the triangles. They are never shown as concentric, so it must be B.

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Dsays...

This one took me a minute. But, when structures 1 and 2 are combined: thick circles cancel each other out; thin circles overlapping with solid triangles , become triangle outlines with small circles; large circles outlines overlapping become smaller outlines; large circle outlines on their own remain. An outlined triangle requires two overlapping solid triangles to be created, so an outlined triangle alone can't become two solid triangles, because there is only one structure left to create. If there had been overlapping triangle/circle outlines it would have been a new outline, or possibly a solid triangle with large circle outlines... but again, that would create two parts, and there's only room for one result.

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