There are only five regular polyhedra. They are sometimes called the Platonic solids after the ancient Greek philosopher Plato. Plato, who lived in the fourth century, linked the shapes to basic elements in science. The motto inscribed over the door of Plato's school in Athens read "Let no one ignorant of geometry enter here."
| Name of Regular Polyhedron | Shape of Each Face | Number of Faces | Science Connection/Element |
| tetrahedron | equilateral triangle | 4 | fire |
| cube | square | 6 | earth |
| octahedron | equilateral triangle | 8 | air |
| icosahedron | equilateral triangle | 20 | water |
| dodecahedron | regular pentagron | 12 | universe |


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