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2. Rhombicosidodecahedron - Wikipedia

   en.wikipedia.org/wiki/Rhombicosidodecahedron

   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 .

3. List of mathematical shapes - Wikipedia

   en.wikipedia.org/wiki/List_of_mathematical_shapes

   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 prism; Triangular pyramid; Triangular tiling

4. Shape and form (visual arts) - Wikipedia

   en.wikipedia.org/wiki/Shape_and_form_(visual_arts)

   Geometric shapes are precise edged and mathematically consistent curves, [citation needed] they are pure forms and so consist of circles, squares, spirals, triangles, while geometric forms are simple volumes, such as cubes, cylinders, and pyramids. [3] They generally dominate architecture, technology, industry and crystalline structures.

5. Missing square puzzle - Wikipedia

   en.wikipedia.org/wiki/Missing_square_puzzle

   The missing square puzzle is an optical illusion used in mathematics classes to help students reason about geometrical figures; or rather to teach them not to reason using figures, but to use only textual descriptions and the axioms of geometry. It depicts two arrangements made of similar shapes in slightly different configurations.

6. List of uniform polyhedra - Wikipedia

   en.wikipedia.org/wiki/List_of_uniform_polyhedra

   There are generic geometric names for the most common polyhedra. The 5 Platonic solids are called a tetrahedron, hexahedron, octahedron, dodecahedron and icosahedron with 4, 6, 8, 12, and 20 sides respectively. The regular hexahedron is a cube.

7. Cuboctahedron - Wikipedia

   en.wikipedia.org/wiki/Cuboctahedron

   A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron , i.e., an Archimedean solid that is not only vertex-transitive but also edge-transitive . [ 1 ]

8. Cupola (geometry) - Wikipedia

   en.wikipedia.org/wiki/Cupola_(geometry)

   For a cupoloid, if n/d > 2, then the triangles and squares do not cover the entire (single) base, and a small membrane is placed in this base {n/d}-gon that simply covers empty space. Hence the {5/2} - and {7/2} -cupoloids pictured above have membranes (not filled in), while the {5/4} - and {7/4} -cupoloids pictured above do not.

9. Equable shape - Wikipedia

   en.wikipedia.org/wiki/Equable_shape

   For example, if shape has an area of 5 square yards and a perimeter of 5 yards, then it has an area of 45 square feet (4.2 m 2) and a perimeter of 15 feet (since 3 feet = 1 yard and hence 9 square feet = 1 square yard). Moreover, contrary to what the name implies, changing the size while leaving the shape intact changes an "equable shape" into ...