Gabriel's Horn (also called Torricelli's trumpet) is a geometric figure which has infinite surface area but finite volume. The name refers to the tradition identifying the Archangel Gabriel as the ... -->

Look at the shapes all around from a different angle. Mathground popularizes geometry, playing with the geometric shapes and putting you out of countenance.

Romanesco, also known as Romanesque cauliflower or Romanesco broccoli, is an edible flower bud of the species Brassica oleracea. First documented in Italy, it is light ... -->

In geometry, the rhombicuboctahedron, or small rhombicuboctahedron, is an Archimedean solid with eight triangular and eighteen square faces. There are 24 identical vertices, with one triangle and three squares ... -->

A quasiperiodic crystal, or, put succinctly, quasicrystal, is a structure that is ordered but not periodic. A quasicrystalline pattern can continuously fill all available space, but it lacks translational ... -->

A planimeter (also known as a platometer) is a measuring instrument used to determine the area of an arbitrary two-dimensional shape.
Principle of the linear planimeter
The working of ... -->

In mathematics, particularly geometry, Viviani's curve, also known as Viviani's window, is a figure eight shaped space curve named after the Italian mathematicianVincenzo Viviani, the intersection of a sphere with ... -->

In geometry, the spiral of Theodorus (also called square root spiral, Einstein spiral or Pythagorean spiral) is a spiral composed ofcontiguous right triangles. It was first constructed by Theodorus of Cyrene.
Construction
The spiral ... -->

A Pythagorean tiling or two squares tessellation is a tessellation of an Euclidean plane by squares of two different sizes, in which each square touches four squares of the other ... -->

A gömböc or gomboc is a convex three-dimensional homogeneous body which, when resting on a flat surface, has just one stable and one unstable point of equilibrium. ... -->