Perceptual Ability: Spatial Relations (Pattern Folding) Flashcards
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Read the first 7 Perceptual Ability: Spatial Relations (Pattern Folding) flashcards as text
How many distinct nets (ignoring rotations and reflections) fold into a cube?
Answer: 11
Exactly 11 of the 35 hexominoes fold into a cube.
In a straight row of three squares within a cube net, which two squares end up as opposite faces?
Answer: The first and third
Squares separated by exactly one square in a straight line fold onto opposite faces.
Which shape can NEVER appear inside a valid cube net?
Answer: A 2x2 block of squares
A 2x2 block would place four faces around one vertex, but a cube vertex joins only three faces.
A net has four squares in a row with one extra square attached above the first square and one above the fourth. What happens when it is folded?
Answer: Two flaps overlap and one face is left open
Both flaps land on the same side of the loop, overlapping as the top while the bottom stays open.
How many fold lines (shared interior edges) does every cube net have?
Answer: 5
Six faces connected as a tree always share exactly five edges.
A cube is unfolded into a net. Any two squares sharing an edge in the net become what on the cube?
Answer: Adjacent faces
Squares joined by a fold line meet along a cube edge, so they are adjacent.
How many faces of a cube are adjacent to any single face?
Answer: 4
Each face borders four others and is opposite only one.
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