Geometry instrument

Roman dodecahedron model

Calculate a regular dodecahedron's ideal geometry, then compare wall and aperture measurements without pretending the artefact's use is solved.

Ideal solid

Set the measured basis.

Ideal model

Edge
Overall diameter
Solid volume
Surface area
Ideal inner volume
Ideal shell volume
Aperture
Dihedral angle
Model, not recovered functionRoman examples are irregular hollow cast objects with bosses and differently sized holes. The inner-volume estimate assumes a smaller similar regular solid. It does not account for rounded edges, bosses, casting variation, or aperture tunnels.

What is known

Museum and English Heritage records identify the archaeological form and state that its function remains unknown. This calculator answers geometric questions only.

Read the Platonic solids guide · Model versus object · Open the object records