Table of Contents
What is the largest polyhedron?
All dice are polyhedra (Greek for many-sided), but the D120 is a special variety called disdyakis triacontahedron. It features 120 scalene triangular faces and 62 vertices. That creates the largest number of symmetrical faces possible for an icosahedron and the biggest, most complex fair dice possible.
What is the largest shape?
Megagon
| Regular megagon | |
|---|---|
| Type | Regular polygon |
| Edges and vertices | 1000000 |
| Schläfli symbol | {1000000}, t{500000}, tt{250000}, ttt{125000}, tttt{62500}, ttttt{31250}, tttttt{15625} |
| Coxeter diagram |
How do you find the surface of a polyhedron?
The surface area of a polyhedron is equal to the sum of the area of all of its faces. Said another way, the surface area is the total area covered by the net of a polyhedron.
How many surfaces does a polyhedron have?
Every polyhedron has three parts: Face: the flat surfaces that make up a polyhedron are called its faces. These faces are regular polygons….Comprehensive Curriculum.
| Name | No. of faces |
|---|---|
| Octahedron | A polyhedron with 8 faces. |
| Nonahedron | A polyhedron with 9 faces. |
| Decahedron | A polyhedron with 10 faces |
How many faces the Rhombicosidodecahedron have?
In geometry, the rhombicosidodecahedron, is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces. It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.
What is the surface area of the polyhedron explain your reasoning?
The surface area of a polyhedron is the number of square units that covers all the faces of the polyhedron, without any gaps or overlaps. For example, if the faces of a cube each have an area of 9 cm2, then the surface area of the cube is , or 54 cm2.
What is the surface area of the solid?
The total surface area of a solid is the sum of the areas of all of the faces or surfaces that enclose the solid. The faces include the tops and bottoms (bases) and the remaining surfaces. The lateral surface area of a solid is the surface area of the solid without the bases.