Triceratops
Late Cretaceous · 72–66 million years ago
No. Triceratops (Late Cretaceous) and Smilodon (Pleistocene) are separated by 66 million years.
Smilodon to you: 0.0117 million years.
More time separated them than separates Smilodon from you.
Late Cretaceous · 72–66 million years ago
Pleistocene · 0.129 million years ago until about 11,700 years ago
Smilodon is not a dinosaur.
Silhouette by Ivan Iofrida
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