Hawaii —

Observation Terrace, Volcano Crater "Dome"

image courtesy of the State of Hawaii

Volcano Crater "Dome"
While you would never guess it when looking at the capitol from the street, the building is designed to look like Punchbowl, a volcano on Oahu that is in sight from the capitol. The roof especially carries out the likeness. It gently rises toward the center where the "crater" is, which is open to the courtyard below.

Observation Terrace
For a state that enjoys so much ideal weather, a simple balcony-style observation deck just isn't enough. The terrace, complete with large potted plants all around, encircles the perimeter of the building on the top floor.

the open roof
from the courtyard below
image courtesy of Laura Freundlich

North Carolina — Dome, Honeysuckle

The Dome
The octagonal tower at the center of this capitol carries a dome that is closer to the building's roof and shallower than many. The taller domes with large and even multiple drums are a style I believe became popular later.

The green color indicates the dome is sheathed in copper. (Careful - not all green domes are copper!)

images courtesy of
Rooftop Systems Engineers, PC

Honeysuckle
The trim on the decorative ring is inspired by the Choragic Monument of Lysicrates in Athens, commonly called the Lanthorn of Demosthenes or Lantern of Diogenes. The Tennessee capitol has ornamentation of the same design. North Carolina's is still one-of-a-kind though, since the effect is quite different.

Follow this link, or this link for more on the Choragic monument of Lysicrates in Athens.