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Mystical systems

Dodecahedron

Direct answer

Dodecahedron: The dodecahedron is the Platonic solid with twelve regular pentagons for faces, three meeting at each of its twenty corners, and thirty edges. Plato gave it to the heavens as a whole.

Mystical SystemsThe Great Almanac DictionaryUpdated 2026-09-26

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At a glance

Also called
twelve sided solid
Found in
Mystical Systems
Related
Platonic Solids, Timaeus, Icosahedron, Golden Ratio
Text and tradition · visual guide Dodecahedron

The dodecahedron is the Platonic solid with twelve regular pentagons for faces, three meeting at each of its twenty corners, and thirty edges. Plato gave it to the heavens as a whole.

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What is a dodecahedron?

The regular dodecahedron is the only one of the five solids built of pentagons, and because the pentagon carries the golden ratio, the ratio runs all through it. It has twelve faces, twenty corners and thirty edges, and it is the partner of the icosahedron, each having as many faces as the other has corners.

Plato treats it apart. Four solids go to the four elements, and of the fifth he says only that the god used it for the whole, arranging the heavens with it. Later writers linked it to the aether, the fifth element, and sacred geometry still calls it the solid of spirit or of the cosmos. Its twelve faces invited a match with the twelve signs of the zodiac, which Plato's text does not itself draw.

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What sets Dodecahedron apart

The dodecahedron is the odd one out in Plato's scheme, and its later fame comes from that. It cannot be built from the two triangles he uses for the other four, so he gives it no element and one cryptic sentence. Everything said since about spirit, aether and the cosmos grows from that sentence. It is also the most demanding of the five to construct, needing the pentagon and with it the golden ratio, which may be why legend makes its disclosure a crime.

Often mistaken for something else: The icosahedron has twenty triangular faces and twelve corners; the dodecahedron has twelve pentagonal faces and twenty corners.

The story behind Dodecahedron

A late legend, told by Iamblichus, says the Pythagorean Hippasus was lost at sea for making public the construction of the figure of twelve pentagons. Euclid builds it in the thirteenth book of the Elements. More than a hundred small hollow bronze dodecahedra with knobbed corners and round holes, of the second to fourth centuries CE, have been found in the north-western Roman provinces. No ancient text mentions them, and their purpose is unknown.

Why Dodecahedron matters

Dodecahedron is the solid where geometry, the golden ratio and the idea of a fifth element meet, which makes it the favourite of later symbolism.

How to read Dodecahedron

Geometers study it with the pentagon and the golden ratio; sacred geometry gives it to the aether; game players know it as the twelve-sided die.

Dodecahedron in practice: an example

A visitor to a museum in Britain, France or Germany who sees a knobbed bronze dodecahedron is looking at an object nobody has yet explained.

Where readings of Dodecahedron go wrong

Confident accounts of what the Roman bronzes were for are guesses, since no record of their use survives.

Sources and editorial method

This entry summarizes the tradition in the Almanac's own words; where no source is listed, it is an editorial summary rather than a primary text, and symbolic readings are named as the tradition's, not as fact.

Source
The Great Almanac Dictionary
Category
Mystical Systems
Aliases
dodecahedron meaning, dodecahedron sacred geometry, roman dodecahedron, dodecahedron fifth element, twelve sided solid
Last updated
2026-09-26

See Dodecahedron in your personal almanac

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Platonic SolidsThe Platonic solids are the five solids whose faces are all the same regular polygon: the tetrahedron, cube, octahedron, dodecahedron and icosahedron. TimaeusThe Timaeus is a dialogue by Plato, written about 360 BCE, in which a craftsman god builds the cosmos by number and proportion and gives each element the shape of a regular solid. IcosahedronThe icosahedron is the Platonic solid with twenty equilateral triangles for faces, five meeting at each of its twelve corners, and thirty edges. Plato assigned it to water. Golden RatioThe golden ratio is the number about 1.618, one plus the square root of five divided by two, which cuts a line so that the whole is to the longer part as the longer is to the shorter. PentagramPentagram means a five-pointed star whose meaning depends heavily on tradition and use.

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Common questions

What is a dodecahedron?

It is a solid with twelve faces. The regular dodecahedron, one of the five Platonic solids, has twelve regular pentagons for faces, twenty corners and thirty edges.

What does the dodecahedron stand for?

In Plato's Timaeus it is the figure used for the heavens as a whole, set apart from the four elements. Later tradition made it the solid of the aether or fifth element, and modern writers call it the solid of spirit.

What were Roman dodecahedra used for?

Nobody knows. Suggestions include a measuring device, a candle holder, a gauge, a game piece and a ritual object, and none is confirmed. They are found mainly in Gaul, Britain and Germany, and no Roman writer describes them.

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