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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.
N-shape, the shape that resembles the capital letter N (interchangeable with the Z-shape) O-shape, the shape that resembles the capital letter O. O-ring; P-shape, the shape that resembles the capital letter P. P-trap, a P-shaped pipe under a sink or basin; Pi-shape, the shape that resembles the Greek capital letter Π. Π topology in electronic ...
The name "Kepler triangle" for this shape was used by Roger Herz-Fischler, based on Kepler's 1597 letter, as early as 1979. [7] Another name for the same triangle, used by Matila Ghyka in his 1946 book on the golden ratio, The Geometry of Art and Life, is the "triangle of Price", after pyramidologist W. A. Price. [12]
Triangle; Automedian triangle; Delaunay triangulation; Equilateral triangle; Golden triangle; Hyperbolic triangle (non-Euclidean geometry) Isosceles triangle; Kepler triangle; Reuleaux triangle; Right triangle; Sierpinski triangle (fractal geometry) Special right triangles; Spiral of Theodorus; Thomson cubic; Triangular bipyramid; Triangular ...
Two triangles are said to be similar, if every angle of one triangle has the same measure as the corresponding angle in the other triangle. The corresponding sides of similar triangles have lengths that are in the same proportion, and this property is also sufficient to establish similarity. [39] Some basic theorems about similar triangles are:
Any two equilateral triangles are similar. Two triangles, both similar to a third triangle, are similar to each other (transitivity of similarity of triangles). Corresponding altitudes of similar triangles have the same ratio as the corresponding sides. Two right triangles are similar if the hypotenuse and one other side have lengths in the ...
In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space.Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.
For example, the icosahedron is {3,5+} 1,0, and pentakis dodecahedron, {3,5+} 1,1 is seen as a regular dodecahedron with pentagonal faces divided into 5 triangles. The primary face of the subdivision is called a principal polyhedral triangle (PPT) or the breakdown structure. Calculating a single PPT allows the entire figure to be created.