I am having most trouble with pattern folding of cubes as the such.
Does anyone havea good resource that explains this?
Does anyone havea good resource that explains this?
Cube Pattern Folding
- Thread starter zagguru
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Just continue to practice.. It will eventually click. When you are reviewing with the different resources, look through the entire test once you have completed it. Many of the test prep materials show you a rotational 3D image where you can see how sides are related to each other. As you work through these, convince yourself why the correct answer is correct and why the incorrect ones are incorrect. As you do this, you will train yourself to think in such a way that will help you answer these things. With the folding questions, sometimes process of elimination is just as helpful as knowing which answer is correct. In this example, you can eliminate B and D almost immediately since the top conformations are not possible given the conformations on the side. Upon closer inspection, we can eliminate A also. We cannot have a vertical line extending from the top to the center of the frontal cube face and still have a horizontal line extending from the left to the center of the top face.
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For me, it's all about going through each answer, and trying to find unique things in the answer. Finding the unique things will help you orient yourself with the unfolded image.
For example, answer A has 2 of those perpendicular lines displayed. There are only 2 perpendicular lines in the unfolded image. Knowing this will help us match the pieces. In the unfolded image, assign one of the perpendicular line square as the "front piece" piece shown in answer A. Doing so, you should quickly find out that there is no way to get the "top piece" as a perpendicular line that is shown in answer A. Assign the other perpendicular line as the "front piece" shown in answer A. You will again find that there is no way to get the "top piece" as the perpendicular line.
Answer C also shows those two perpendicular lines. Using a similar process, assign one of the perpendicular square as the side piece, and then check for the top piece. You should be able to orient the unfolded image to match the answer.
Answer D can be eliminated simply by assigning each of the perpendicular piece as the "side perpendicular bottom line" piece in answer D. After, you just have to check for what's on "top". Checking both scenarios will allow you to eliminate the answer.
Answer B is a little more difficult to eliminate because you have to check a couple possibilities because they all have diagonal lines. I think the best way to approach it is to pay attention to those two diagonal lines in the same corner in answer D. There's only 2 way this is possible.
In the first possibility, the top square will be a perpendicular line, but answer B shows the top square having a diagonal line.
If you look carefully at the 2nd possibility, both of the diagonal line would be on the wrong side. When you orient it so that the 2 diagonal line is at the bottom, the 2 diagonal lines would be at the bottom right corner. Answer B shows 2 diagonal lines on the bottom left.
It looks like a lengthy approach, but it's actually pretty fast once you get the hang of it.
For example, answer A has 2 of those perpendicular lines displayed. There are only 2 perpendicular lines in the unfolded image. Knowing this will help us match the pieces. In the unfolded image, assign one of the perpendicular line square as the "front piece" piece shown in answer A. Doing so, you should quickly find out that there is no way to get the "top piece" as a perpendicular line that is shown in answer A. Assign the other perpendicular line as the "front piece" shown in answer A. You will again find that there is no way to get the "top piece" as the perpendicular line.
Answer C also shows those two perpendicular lines. Using a similar process, assign one of the perpendicular square as the side piece, and then check for the top piece. You should be able to orient the unfolded image to match the answer.
Answer D can be eliminated simply by assigning each of the perpendicular piece as the "side perpendicular bottom line" piece in answer D. After, you just have to check for what's on "top". Checking both scenarios will allow you to eliminate the answer.
Answer B is a little more difficult to eliminate because you have to check a couple possibilities because they all have diagonal lines. I think the best way to approach it is to pay attention to those two diagonal lines in the same corner in answer D. There's only 2 way this is possible.
In the first possibility, the top square will be a perpendicular line, but answer B shows the top square having a diagonal line.
If you look carefully at the 2nd possibility, both of the diagonal line would be on the wrong side. When you orient it so that the 2 diagonal line is at the bottom, the 2 diagonal lines would be at the bottom right corner. Answer B shows 2 diagonal lines on the bottom left.
It looks like a lengthy approach, but it's actually pretty fast once you get the hang of it.
