The Tetrahedron (Leaving Cert DCG): Flashcards

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The Tetrahedron
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Definition of a tetrahedron

The simplest 3D shape/polyhedron

No. of faces on a tetrahedron

4 faces

No. of vertices on a tetrahedron

4 vertices

No. of edges on a tetrahedron

6 edges

Type of faces on a regular tetrahedron

Equilateral triangles

Special property: tetrahedron duality

Self-dual

What self-duality creates in a tetrahedron

Identical tetrahedron by connecting face centres

Where inscribed sphere touches

All four triangular faces

Where circumscribed sphere passes through

All four vertices

Inscribed & circumscribed sphere centres

Share the same centre point

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