Which type of casket has ends shaped like a half circle?

The type of casket characterized by ends shaped like a half circle is indeed the elliptic casket. This design features a gentle curve at the ends, creating a smooth and flowing silhouette that distinguishes it from other shapes. The elliptic form is often associated with a more traditional or classic aesthetic in funeral services, conveying a sense of elegance and softness.

In contrast, rectangular caskets have straight, flat ends and sides, which present a more box-like appearance. Square caskets, by definition, possess equal-length sides and sharp corners, further differing from the rounded ends of an elliptic design. Lastly, octagonal caskets feature eight sides and corners rather than the rounded ends, making them distinct in appearance. Thus, the elliptic casket stands out specifically due to its unique curved ends, marking it as the correct choice.