Question:

How many spheres are rotating in the space shown below? \quad [This question contains an animated GIF image.]

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For animated visual-counting problems: \begin{itemize} \item Watch the full animation more than once, \item Track motion paths instead of static positions, \item Use systematic counting to avoid overlaps. \end{itemize}
Updated On: Jan 30, 2026
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Correct Answer: 19

Solution and Explanation

Step 1: Observe the animated image carefully. Each visible dot represents a sphere rotating in space. Some spheres move along circular paths, while others appear stationary relative to the background but are still part of the rotation. \bigskip Step 2: Count the clearly visible spheres first by marking each dot once to avoid double counting. \bigskip Step 3: Pay special attention to spheres that overlap in position during rotation or momentarily align along the same path—these are often missed at first glance. \bigskip Step 4: After carefully tracking all distinct rotating spheres throughout the animation, the total number of spheres is found to be: \[ \boxed{19} \] \bigskip
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