An irregular solid is cut into seven pieces as shown. The pieces are neither rotated nor scaled, but are kept in a random sequence. Find the correct sequence to get the smooth form. The sequence should be written from left to right.
Show Hint
For sequence puzzles with shapes, look for unique features like flat ends, sharp corners, or the narrowest/widest points. These often serve as anchors (start/end points) for the sequence.
Step 1: Understanding the Concept:
This is a visual puzzle that requires reassembling a sliced object. The goal is to arrange the pieces in an order that recreates the original smooth, continuous form by matching the curved surfaces of adjacent pieces. \
Step 2: Detailed Explanation:
We need to find the correct order of the seven pieces from left to right. Let's analyze the shapes to find a starting and ending piece and then fit the others in between.
Piece 3: This piece has a flat base and curves upwards. This makes it the most logical starting piece (the bottom of the object).
Piece 2: The concave curve on the bottom of piece 2 perfectly matches the convex curve on the top of piece 3. So, the sequence starts with 3-2.
Piece 1: The bottom of piece 1 matches the top of piece 2, continuing the smooth outward curve. The sequence is now 3-2-1.
Piece 4: This is the narrowest piece, forming a 'neck'. Its bottom curve fits onto the top of piece 1. The sequence is 3-2-1-4.
Piece 7: The object starts to widen again after the neck. The bottom of piece 7 fits on top of piece 4. The sequence is 3-2-1-4-7.
Piece 6: Continuing the widening curve, the bottom of piece 6 matches the top of piece 7. The sequence becomes 3-2-1-4-7-6.
Piece 5: This piece has a flat top, making it the logical end piece. Its bottom curve fits perfectly on top of piece 6. This completes the object.
Step 3: Final Answer:
By matching the adjacent surfaces, the correct sequence from left to right (bottom to top of the object) is 3-2-1-4-7-6-5. Therefore, the numerical sequence is 3214765.
