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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 a total of 62 faces: 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, with 60 vertices , and 120 edges .
Gaussian curve with a two-dimensional domain Many shapes have metaphorical names , i.e., their names are metaphors : these shapes are named after a most common object that has it. For example, "U-shape" is a shape that resembles the letter U , a bell-shaped curve has the shape of the vertical cross section of a bell , etc.
This is a list of two-dimensional geometric shapes in Euclidean and other geometries. For mathematical objects in more dimensions, see list of mathematical shapes. For a broader scope, see list of shapes.
Tessellations of euclidean and hyperbolic space may also be considered regular polytopes. Note that an 'n'-dimensional polytope actually tessellates a space of one dimension less. For example, the (three-dimensional) platonic solids tessellate the 'two'-dimensional 'surface' of the sphere.
Squircle centred on the origin (a = b = 0) with minor radius r = 1: x 4 + y 4 = 1A squircle is a shape intermediate between a square and a circle.There are at least two definitions of "squircle" in use, one based on the superellipse, the other arising from work in optics.
A torus has 1 such hole, while a sphere has 0. The green surface pictured above has 2 holes of the relevant sort. For instance: The sphere and a disc both have genus zero. A torus has genus one, as does the surface of a coffee mug with a handle. This is the source of the joke "topologists are people who can't tell their donut from their coffee ...
A square frustum is a frustum with a square base, but the rest of its faces are quadrilaterals; the square frustum is formed by truncating the apex of a square pyramid. In attempting to classify cuboids by their symmetries, Robertson (1983) found that there were at least 22 different cases, "of which only about half are familiar in the shapes ...
The original Rubik's cube was a mechanical 3×3×3 cube puzzle invented in 1974 by the Hungarian sculptor and professor of architecture Ernő Rubik.Extensions of the Rubik's cube have been around for a long time and come in both hardware and software forms.