Does Cyclopentadiene Have sp3 Hybridization While Its Cation and Anion Do Not?

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Why is it that one of the C atoms of cyclopentadiene is sp3 hybridized? Because it's only involved in single bonds?

Why is it then that cyclopentadienyl cation and anion don't contain sp3 hybridized anions?
 
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I would try to think in terms of resonance structures.
 

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