Three-Dimensional Shapes: English Vocabulary List

a three-dimensional geometric shape with six rectangular faces, resembling a box or a rectangular prism

"The box is a cuboid."

"A standard brick is a perfect example of a cuboid, a rectangular prism with six flat faces."

(geometry) a round 3D shape like a ball that is slightly flattened at the top and bottom points

"Spheroid is slightly flat."

"Scientists describe Earth as a spheroid because it is slightly flattened at both poles."

(geometry) a solid or hollow shape with two circular bases at each end and straight parallel sides

"A cylinder has two bases."

"The engineer designed a hollow cylinder with a specific radius and height for the structural component."

a three-dimensional shape similar to a stretched or compressed sphere

"Ellipsoid is stretched sphere."

"The planet Earth is not a perfect sphere but rather an ellipsoid due to its rotation."

a solid shape made of flat sides that fit together along their edges

"A cube is a polyhedron."

"A cube is the most common example of a polyhedron that students study in math class."

(geometry) a solid figure formed by three flat faces that intersect in a point

"A trihedron has three faces."

"A trihedron is a geometric figure formed by three planes meeting at a single point."

(geometry) a polyhedron with four flat sides, a triangular pyramid

"The tetrahedron has four triangular faces."

"A tetrahedron is a three-dimensional shape composed entirely of four triangular faces."

(geometry) a solid figure with five flat faces

"A pentahedron has five faces."

"A pentahedron is a polyhedron that has exactly five flat faces like a square pyramid."

(geometry) a solid figure with six flat faces

"A hexahedron has six faces."

"A hexahedron is a polyhedron with six faces and a cube is the most common example of one."

a polyhedron with seven faces or sides

"Heptahedron has seven faces."

"A heptahedron is a polyhedron that has exactly seven faces which is relatively rare in geometry."

a geometric figure with eight triangular faces, twelve edges, and six vertices

"An octahedron has eight triangular faces."

"An octahedron is a polyhedron with eight faces"

a shape with nine flat sides that connect along their edges

"Nonahedron has nine faces."

"A nonahedron is a polyhedron that has nine faces a shape not often seen in nature."

(geometry) a solid shape with ten flat faces

"Decahedron has ten faces."

"A decahedron is a three dimensional shape that has ten flat polygonal faces."

a three-dimensional figure with twelve regular pentagonal faces, thirty edges, and twenty vertices

"A dodecahedron has twelve pentagonal faces."

"A dodecahedron is a three dimensional shape with twelve flat pentagonal faces that are all identical."

a three-dimensional figure with twenty equilateral triangle faces, thirty edges, and twelve vertices

"The icosahedron has twenty triangular faces."

"An icosahedron is a regular polyhedron with twenty equilateral triangle faces"

a three-dimensional shape that wraps around a torus or doughnut-like surface

"Toroidal polyhedron has a hole."

"A toroidal polyhedron has a hole through its center like a donut or a bagel."

a three-dimensional shape that has a pair of parallel bases connected by rectangular faces, with the bases not being perpendicular to the sides

"The oblique prism leans sideways."

"An oblique prism has lateral edges that are not perpendicular to the bases so it leans to one side."

a three-dimensional shape that has a pair of parallel bases connected by rectangular faces, with the bases being perpendicular to the sides

"Right prisms stand straight up."

"A right prism has lateral edges that are perpendicular to the bases making it stand straight up."

a three-dimensional shape that has two identical bases, and all sides are the same shape and size

"Uniform prisms have regular bases."

"A uniform prism has regular polygonal bases and square lateral faces that are all congruent."

a three-dimensional shape with two triangular bases connected by three rectangular faces

"Triangular prism has triangle bases."

"A triangular prism has two triangular bases and three rectangular lateral faces connecting them."

a type of uniform prism that has square bases and rectangular faces that connect the bases

"Square prism has square bases."

"A square prism has two square bases and four rectangular lateral faces like a box."

a type of uniform prism that has pentagonal bases and rectangular faces that connect the bases

"Pentagonal prism has pentagon bases."

"A pentagonal prism has two pentagonal bases and five rectangular lateral faces connecting them."

a type of uniform prism that has hexagonal bases and rectangular faces that connect the bases

"Hexagonal prism has hexagon bases."

"A hexagonal prism has two hexagonal bases and six rectangular faces like a honeycomb cell shape."

a three-dimensional geometric figure with six identical rhombus-shaped faces

"Rhombohedron has six rhombus faces."

"A rhombohedron is a six faced polyhedron where each face is a congruent rhombus."

a three-dimensional figure with six parallelogram faces, where each face is parallel to the opposite face

"Parallelepiped has three pairs of parallelograms."

"A parallelepiped is a six faced figure where each face is a parallelogram like a slanted box."

a three-dimensional shape often seen in cooling towers, sculptures, or lampshades, known for its curved design

"A hyperboloid looks like a cooling tower."

"A hyperboloid is a curved surface that looks like a cooling tower or an hourglass shape."

a 3D shape with identical, regular polygon faces and the same number of faces meeting at each corner

"A cube is a platonic solid."

"There are only five platonic solids tetrahedron cube octahedron dodecahedron and icosahedron."

a three-dimensional geometric shape composed of multiple intersecting polygons that form a star-like structure

"Star polyhedron has star-shaped faces."

"A star polyhedron has star shaped faces or star shaped vertex figures creating a non convex form."

a type of regular polyhedron in geometry, which is formed by extending the faces of a regular convex polyhedron to create new faces or facets

"Kepler-Poinsot polyhedra are non-convex regular forms."

"The Kepler-Poinsot polyhedra are four regular non convex star polyhedra discovered by Kepler and Poinsot."

a non-convex polyhedron in geometry that has an unusual property of having no faces that are triangles, despite being composed of triangular faces

"Szilassi polyhedron has seven faces."

"The Szilassi polyhedron is a non convex polyhedron with seven faces each of which touches every other face."

a three-dimensional shape made up of 14 faces, 21 vertices, and 36 edges, with a symmetrical arrangement of polygons

"Csaszar polyhedron has no diagonals."

"The Csaszar polyhedron is a toroidal polyhedron with no diagonals and every pair of vertices connected by an edge."

a convex polyhedron in geometry that has regular polygons as its faces and is vertex-transitive

"Uniform polyhedra have identical vertices."

"A uniform polyhedron has regular polygonal faces and identical vertices meaning the same arrangement of faces meets at each vertex."

a semi-regular convex polyhedron in geometry that has a combination of regular polygons as its faces, with identical vertices and edges, and is vertex-transitive

"Archimedean solids have identical vertices."

"Archimedean solids are highly symmetric convex polyhedra with two or more types of regular faces meeting at identical vertices."

a non-convex Archimedean solid with icosahedral symmetry, consisting of 80 equilateral triangles and 12 regular pentagons

"This is a snub dodecahedron."

"The complex structure of the snub dodecahedron, with its many triangles and pentagons, makes it a fascinating geometric object."

a three-dimensional geometric shape with a triangular base and triangular faces that meet at a common vertex or apex point

"Triangular-based pyramid has four faces."

"A triangular based pyramid has four faces all of which are triangles and is also called a tetrahedron."

a three-dimensional geometric shape with a square base and four triangular faces that meet at a common vertex or apex point

"Square pyramid has five faces."

"A square pyramid has a square base and four triangular faces that meet at a single point above the base."

a three-dimensional geometric shape with a pentagonal base and five triangular faces that meet at a common vertex or apex point

"The pentagonal pyramid has five faces."

"A pentagonal pyramid has a pentagonal base and five triangular faces that meet at a single apex."

a three-dimensional geometric shape formed by extending the faces of a regular dodecahedron to create additional triangular faces or spikes

"Look at the stellated dodecahedron."

"The artist sculpted a stellated dodecahedron, its sharp points and star-like appearance creating a dramatic visual effect."

a three-dimensional geometric shape with a hexagonal base and triangular faces that meet at a common vertex

"Hexagonal pyramid has seven faces."

"A hexagonal pyramid has a hexagonal base and six triangular faces that rise to meet at a single point."

a three-dimensional geometric shape with a heptagonal base and triangular faces that meet at a common vertex

"Heptagonal pyramid has eight faces."

"A heptagonal pyramid has a seven sided base and seven triangular faces that meet at one apex."

a geometric shape consisting of an octagonal base and triangular faces that converge to a single point or vertex at the top

"Octagonal pyramid has nine faces."

"An octagonal pyramid has an eight sided base and eight triangular faces that converge at a single point."