Any math smarties know how this trick works? Seems like the pieces shouldn"t fit.

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Any math smarties know how this trick works? Seems like the pieces shouldn"t fit.

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Mr Wizard taught me so much about life, I consider him a father figure.

the peices aren`t the size they appear to be due to the optical illusion created by the uneven angles of the cut (and slight curvature of the sides) of each piece in relation to the piece next to it. rotating them alters that illusion thus changing the apparent shape of the piece.

Allow me to REPOST my earlier explanation.

The white square is evidence that the entire square is imperfect, so that when the pieces are cut at angles and rearranged, the imbalance in the sides of the square are evident as "negative space" in the final result...

The right side of the square is slightly shorter than the left side, and the top is slightly shorter than the bottom. This difference could add up to a mere 1 sq cm, which is hard to really notice when looking at the larger picture, but when the pieces are cut and rearranged, the 1 sq cm is what is left in the center...

Didn`t anyone ever watch Mr Wizard? I seem to remember him doing an example of this in a

Precisely. The area in the center is displaced into the edges since the lines are angled.

Go back to math class. The area of a shape doesn`t change by simply rotating it.

At the beginning, the 4 yellow shapes had a combined area less than that of the square. By rotating them, the combined area of the 4 shapes grew to the same area of the square. That is mathematically illogical.

The white square is evidence that the entire square is imperfect, so that when the pieces are cut at angles and rearranged, the imbalance in the sides of the square are evident as "negative space" in the final result...

The right side of the square is slightly shorter than the left side, and the top is slightly shorter than the bottom. This difference could add up to a mere 1 sq cm, which is hard to really notice when looking at the larger picture, but when the pieces are cut and rearranged, the 1 sq cm is what is left in the center...

In a perfect environment, you can`t have a yellow area inside the white square that has a small gap in the middle, and then magically by re-arranging the yellow shapes within that white square the area has increased in size enough to fill the gap. That increase in area would have to come from somewhere.

It comes from the fact that this is a visual trick of the eye done in a non-perfect environment caused by our limits of human sight. Like others have previously said, all that white area in the first arrangement is actually being distributed along the black lines around the outside. When you re-arrange the squares just a touch more of the outside line is visible.

Triangle Puzzle

- Any math smarties know how this trick works? Seems like the pieces shouldn`t fit.