WHO classified the Platonic solids?

Euclid completely mathematically described the Platonic solids in the Elements, the last book (Book XIII) of which is devoted to their properties. Propositions 13–17 in Book XIII describe the construction of the tetrahedron, octahedron, cube, icosahedron, and dodecahedron in that order.

Who discovered Platonic solids?

These solids were introduced by Plato in his work Timaeus (ca. 350 BCE), in which all then known forms of matter—earth, air, fire, water, and ether—are described as being composed of five elemental solids: the cube, the octahedron, the tetrahedron, the icosahedron, and the dodecahedron.

Who first classified the 5 Platonic solids?

Why are they called that? The Greek philosopher Plato, who was born around 430 B.C., wrote about these five solids in a work called Timaeus.

What defines a Platonic solid?

Platonic solid, any of the five geometric solids whose faces are all identical, regular polygons meeting at the same three-dimensional angles. Also known as the five regular polyhedra, they consist of the tetrahedron (or pyramid), cube, octahedron, dodecahedron, and icosahedron.

What are Platonic solids and Plato?

The 5 platonic solids are considered cosmic solids due to their connection to nature that was discovered by Plato. The cube represents the earth, the octahedron represents the air, the tetrahedron represents the fire, the icosahedron represents the water, and the dodecahedron represents the universe.

Is the Earth a dodecahedron?

This is why the empirical earth is a dodecahedron, whereas the real earth is a sphere.

Who discovered the dodecahedron?

Hippasus of Metapontum

When Hippasus of Metapontum (who is credited with discovering the dodecahedron) divulged the secret of the existence of the irrational, he was thrown in the river and drowned. Phi, expressed to about 20,000 places is printed to the surface in the painting.

Did Pythagoras discover the 5 regular solids?

Abstract. Throughout history the regular solids were a point of intrigue by astronomers, mathematicians, artists, and philosophers. The Pythagoreans proved that there are only five regular solids: the cube, triangle, octahedron, dodecahedron, and icosahedron.

What is the theory of proportions Pythagoras?

The idea of geometric proportions is probably Pythagorean in origin; but the so-called golden section—which divides a line at a point such that the smaller part is to the greater as the greater is to the whole—is hardly an early Pythagorean contribution (see golden ratio).

How do you pronounce dodecahedron?

Video quote: Todo aquello en todo ha caído en. La cajita otra canción otra casilla todas cayeron.

How is tetrahedron pronounced?

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How do you spell icosahedral?

noun, plural i·co·sa·he·drons, i·co·sa·he·dra [ahy-koh-suh-hee-druh, ahy-kos-uh-]. a solid figure having 20 faces.

How do you pronounce Rhombicuboctahedron?

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What shape is a d20?

In geometry, an icosahedron (/ˌaɪkɒsəˈhiːdrən, -kə-, -koʊ-/ or /aɪˌkɒsəˈhiːdrən/) is a polyhedron with 20 faces.



Pyritohedral symmetry.

How many faces does a Rhombicuboctahedron have?

26 faces

The Great Rhombicuboctahedron has 12 square faces, 8 regular hexagonal faces, and 6 regular octagonal faces for a total of 26 faces. This solid also has a total of 48 vertices and 72 edges.

How do you pronounce Nonanonacontanonactanonaliagon?

Video quote: No no no no no no no now you're gone yeah easy if you want to say it properly.

How do you spell Rhombicosidodecahedron?

Video quote: Rambha Cosi dodecahedron rambha Cosi dodecahedron rambha Cosi dodecahedron rambha Cosi dodecahedron rambha Cosi dodecahedron.

How do you pronounce GIF?

GIF, an acronym for the Graphics Interchange Format, is popularly pronounced in English as a one-syllable word. The most common pronunciations in English are /dʒɪf/ ( listen) (with a soft g as in gin) and /ɡɪf/ ( listen) (with a hard g as in gift), differing in the phoneme represented by the letter G.

What is the longest word in English language?

pneumonoultramicroscopicsilicovolcanoconiosis

pneumonoultramicroscopicsilicovolcanoconiosis



Appearing in the Oxford English Dictionary, this 45-letter word for a disease is the longest English word that is defined in a major dictionary. It’s a technical word referring to the lung disease more commonly known as silicosis.

How do u say YEET?

Video quote: It yit yeet pretty straightforward.

What word takes 3 hours to say full word?

in addition, What word takes 3 hours to say full word? A word of warning… the “word” takes about 3.5 hours to say. The word is 189,819 letters long. It’s actually the name of a giant protein called Titin.

What word takes 3 hours to say?

Pneumonoultramicroscopicsilicovolcanoconiosis (45 letters)

What is the shortest word?

Eunoia, at six letters long, is the shortest word in the English language that contains all five main vowels. Seven letter words with this property include adoulie, douleia, eucosia, eulogia, eunomia, eutopia, miaoued, moineau, sequoia, and suoidea. (The scientific name iouea is a genus of Cretaceous fossil sponges.)

What is the oldest word?

Mother, bark and spit are some of the oldest known words, say researchers. Continue reading → Mother, bark and spit are just three of 23 words that researchers believe date back 15,000 years, making them the oldest known words.