Assertion: icosahedron's face | /r/HasProperty | equilateral triangles
Facets:
value: with the short side length
type: OTHER
Source sentences:
text: All the faces are equilateral triangles and are all congruent, that is, all the same size.
text: The hexagon faces can be equilateral but not regular with D 2 symmetry.
text: At first glance this may seem absurd, since every face of the icosahedron is an equilateral triangle.
text: The icosahedron has 20 equilateral triangular faces, 12 vertices, and 30 edges.
text: Each face is an Equilateral Triangle
text: The faces of the icosahedron are equilateral triangles with the short side length, and isosceles triangles with one long edge and two short edges.
text: An Icosahedron is a polyhedron with 20 faces which are all equilateral triangles.
text: If the mentioned faces are equilateral triangles we will call it a regular icosahedron.
text: This definition rules out, for example, the square pyramid (since although all the faces are regular, the square base is not congruent to the triangular sides), or the shape formed by joining two tetrahedra together (since although all faces of that triangular bipyramid would be equilateral triangles, that is, congruent and regular, some vertices have 3 triangles and others have 4).
text: The regular icosahedron is a Platonic solid with faces that are equilateral triangles.
text: The five platonic solids, or regular polyhedra, are: the tetrahedron (consisting of four faces that are equilateral triangles), the hexahedron, also known as a cube (consisting of six square faces), the octahedron (consisting of eight faces that are equilateral triangles), the dodecahedron (12 pentagons), and the icosahedron (20 equilateral triangles).
text: The five platonic solids, or regular polyhedra, are: the tetrahedron (consisting of four faces that are equilateral triangles), the hexahedron, also known as a cube (consisting of six square faces), the octahedron (consisting of eight faces that are equilateral triangles), the dodecahedron (12 pentagons), and the icosahedron (20 equilateral triangles).
text: The faces of a regular icosahedron are equilateral triangles
text: Tetrahedron A tetrahedron has four faces that are equilateral triangles.
text: We need to check that the faces are equilateral triangles; if we can prove this, the symmetry of the configuration will establish our result.
text: The faces of a regular icosahedron are equilateral triangles
text: The 20 faces of a regular (perfectly symmetrical) icosahedron are all equilateral triangles.
text: Its faces, like the thetrahedron and the octahedron, are equilateral triangles.
text: Two faces are equilateral, lie on parallel planes, and have a common axis of symmetry.
text: : Two faces are equilateral, lie on parallel planes, and have a common axis of symmetry.
text: It is not possible for all triangular faces to be equilateral.
text: Each face is an equilateral triangle.
text: An icosahedron has 20 equilateral triangular faces.
text: Each face is an Equilateral Triangle