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understand you need at leas 3 faces per corner to make a 3d object and all shapes on a regular polyhedron must be regular.
triangles:
tetrahedron,(3 per corner) octohedron,(4 per corner) icosahedron,(5 per corner) there is none with 6per corner because that would be 2d as all shapes must be regular
squares:
cube(3 per corner) is the only one because 2 or 4 would both be 2d.
pentagons:
dodecaahedron(3 per corner) is the only one because the pentagon fits together in no other way.
hexagons(non-existant)
there are none because the simplest way of maching them(3 per corner) is 2d.
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What are the five regular polyhedra?
The five regular polyhedra are Tetrahedron, Hexahedron(cube), octahedron, dodecahedron and Icosahedron.
What do two tetrahedrons joined face to face make?
A regular triangular dipyramid. It is one of the 92 "Johnson solids". Those are the convex polyhedra whose faces are regular polygons, but do not belong to either of the two sets of highly symmetric polyhedra (the Platonic and the Archimedean), or to the perhaps less interesting two infinite families of prisms and antiprisms.
Is a cube a polyhedron?
Yes. It is one of the five regular polyhedra known from ancient Greek times or earlier.See http://www.math.rutgers.edu/~erowland/polyhedra.html .
What has 5 vertices 5 faces and 10 edges?
There is no straightforward answer: the numbers contradict the Euler characteristic for simply connected polyhedra.
What is the difference between a polyhedron and polyhedra?
One polyhedron; many polyhedra. Simple,wasn't that?
What is a 7 regular polyhedra?
There are only 5 regular polyhedra: those with 4, 6, 8, 12 and 20 faces. If you know of 7 polyhedra there may be a Fields Medal (the Nobel prize for mathematicians) for you!
Is a decahedral die a regular polyhedron and why?
No it's not. There are only 5 regular polyhedra, and none of them has 10 sides.
What is a 5 regular polyhedra?
A tetrahedron, cube, octahedron, dodecahdron and icosahedron.
What are the five regular polyhedra?
The five regular polyhedra are Tetrahedron, Hexahedron(cube), octahedron, dodecahedron and Icosahedron.
What are the regular polyhedra?
The plural of "polyhedron" is "polyhedra." There are only 5 regular polyhedra:Tetrahedron, 4 sides, all equilateral trianglesCube (or hexahedron), 6 sides, all squaresOctohedron, 8 sides, all equilateral trianglesDodecahedron, 12 sides, all equilateral pentagonsIcosahedron, 20 sides, all equilateral triangles
What is a regular polyhedra with 12 regular pentagon faces?
dodecahedron
What is unique about the platonic solids?
They are regular polyhedra.
Witch polyhedra has 12 regular pentagons as faces?
dodecahedron
What shapes have identicle faces?
Regular polyhedra have identical faces.
How many polyhedra are there?
5
Is an icosahedron a semi-regular or regular polygon?
An icosahedron is in fact not a polygon at all, but a polyhedron. As a polyhedron it is regular however. The regular icosahedron is one of only five possible regular polyhedra. It has 20 faces, each of which is an equilateral triangle.
Is circle regular or irregular?
Regular, although the term is more usually used with polygons and polyhedra.
