"A method of drawing which gives a distorted image of the object represented when it is viewed from directly or nearly so, but a natural image when it is viewed from a certain point, is reflected by a curved mirror, or is seen through a polyhedron."-Whitney, 1902

Anamorphosis

"A method of drawing which gives a distorted image of the object represented when it is viewed from…

A polyhedron with eight faces.

Octahedron

A polyhedron with eight faces.

Orthogonal projection of a closed plane-faced polyhedron.

Polyhedron

Orthogonal projection of a closed plane-faced polyhedron.

Orthogonal projection of a closed plane-faced polyhedron.

Polyhedron

Orthogonal projection of a closed plane-faced polyhedron.

Top and side views of a hexagonal pyramid shaded with dimension lines.

Drawing Lines 3

Top and side views of a hexagonal pyramid shaded with dimension lines.

Illustration of a prism - a polyhedron of which two faces are equal polygons in parallel planes, and the other faces are parallelograms.

Prism

Illustration of a prism - a polyhedron of which two faces are equal polygons in parallel planes, and…

Illustration of a right prism - a prism whose lateral edges are perpendicular to its bases.

Right Prism

Illustration of a right prism - a prism whose lateral edges are perpendicular to its bases.

Illustration of a triangular prism - a prism whose base is a triangle.

Triangular Prism

Illustration of a triangular prism - a prism whose base is a triangle.

Illustration of a right section of a prism.

Right Section of Prism

Illustration of a right section of a prism.

Illustration of a truncated prism - the part of a prism included between the base and a section made by a plane oblique to the base.

Truncated Prism

Illustration of a truncated prism - the part of a prism included between the base and a section made…

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal polygons.

Sections of Prism

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal…

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal polygons.

Sections of Prism

Illustration of the sections of a prism made by parallel planes cutting all the lateral edges into equal…

Illustration showing two prisms are equal if the three faces which include a trihedral angle of the one are respectively equal to three faces which include a trihedral angle of the other, and are similarly placed.

Equal Prisms

Illustration showing two prisms are equal if the three faces which include a trihedral angle of the…

Illustration of a parallelopiped - a prism with a parallelogram as its base

Parallelopiped

Illustration of a parallelopiped - a prism with a parallelogram as its base

Illustration of a parallelopiped - a prism with a parallelogram as its base

Parallelopiped

Illustration of a parallelopiped - a prism with a parallelogram as its base

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane divides the parallelopiped into two equivalent triangular prisms.

Parallelopiped with Plane Passing Through

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane…

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane divides the parallelopiped into two equivalent triangular prisms.

Parallelopiped with Plane Passing Through

Illustration of a parallelopiped with a plane passing through two diagonally opposite edges. The plane…

Illustration of 2 parallelopipeds/rectangular prisms.

Rectangular prisms

Illustration of 2 parallelopipeds/rectangular prisms.

Illustration of 3 parallelopipeds/rectangular prisms.

Rectangular prisms

Illustration of 3 parallelopipeds/rectangular prisms.

Illustration of 2 rectangular prism used to show volume.

Rectangular Prisms Showing Volume

Illustration of 2 rectangular prism used to show volume.

Illustration of a parallelopiped (a prism with a parallelogram as its base) used to demonstrate that the volume of any parallelopiped is equal to the product of its base by its altitude.

Parallelopiped Showing Volume

Illustration of a parallelopiped (a prism with a parallelogram as its base) used to demonstrate that…

Illustration of a prism used to demonstrate that the volume of any prism is equal to the product of its base by its altitude.

Prism Showing Volume

Illustration of a prism used to demonstrate that the volume of any prism is equal to the product of…

Hexahedron - polyhedron with 6 faces.

Hexahedron

Hexahedron - polyhedron with 6 faces.

Hexahedron with faces and vertices shown.

Hexahedron With Faces and Vertices

Hexahedron with faces and vertices shown.

Hexahedron - polyhedron with 6 faces.

Hexahedron

Hexahedron - polyhedron with 6 faces.

Two similar polyhedrons may be decomposed into the same number of tetrahedrons similar, each to each, and similarly placed.

Similar Polyhedrons

Two similar polyhedrons may be decomposed into the same number of tetrahedrons similar, each to each,…

The volumes of two similar tetrahedrons are to each other as the cubes of their homologous (corresponding) edges.

Similar Tetrahedrons

The volumes of two similar tetrahedrons are to each other as the cubes of their homologous (corresponding)…

Pattern that can be cut out and folded to construct a regular tetrahedron. Fold on the dotted lines, and keep the edges in contact by the glued strips of paper.

Pattern for Tetrahedron

Pattern that can be cut out and folded to construct a regular tetrahedron. Fold on the dotted lines,…

Pattern that can be cut out and folded to construct a regular hexahedron. Fold on the dotted lines, and keep the edges in contact by the glued strips of paper.

Pattern for Hexahedron

Pattern that can be cut out and folded to construct a regular hexahedron. Fold on the dotted lines,…

Pattern that can be cut out and folded to construct a regular octahedron. Fold on the dotted lines, and keep the edges in contact by the glued strips of paper.

Pattern for Octahedron

Pattern that can be cut out and folded to construct a regular octahedron. Fold on the dotted lines,…

Pattern that can be cut out and folded to construct a regular dodecahedron. Fold on the dotted lines, and keep the edges in contact by the glued strips of paper.

Pattern for Dodecahedron

Pattern that can be cut out and folded to construct a regular dodecahedron. Fold on the dotted lines,…

Pattern that can be cut out and folded to construct a regular icosahedron. Fold on the dotted lines, and keep the edges in contact by the glued strips of paper.

Pattern for Icosahedron

Pattern that can be cut out and folded to construct a regular icosahedron. Fold on the dotted lines,…

Illustration of regular polyhedrons: tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron.

Regular Polyhedrons

Illustration of regular polyhedrons: tetrahedron, hexahedron, octahedron, dodecahedron, icosahedron.

Illustration of a right decagonal prism with regular decagons for bases and rectangular faces.

Decagonal Prism

Illustration of a right decagonal prism with regular decagons for bases and rectangular faces.

Illustration of 2 similar right decagonal prisms. Both have regular decagons for bases and rectangular faces. The height of the prism and length of the side of the decagon on the smaller decagonal prism are one half that of the larger.

Similar Decagonal Prisms

Illustration of 2 similar right decagonal prisms. Both have regular decagons for bases and rectangular…

Illustration of a right decagonal prism with regular decagons for bases and rectangular faces. The prism is resting on its side, one of the faces.

Decagonal Prism Resting On Its Side

Illustration of a right decagonal prism with regular decagons for bases and rectangular faces. The prism…

Illustration of a hollow right heptagonal/septagonal prism with regular heptagons/septagons for bases and rectangular faces.

Heptagonal/Septagonal Prism

Illustration of a hollow right heptagonal/septagonal prism with regular heptagons/septagons for bases…

Illustration of a regular right heptagonal/septagonal prism with regular heptagons/septagons for bases and square faces. The hidden edges are shown.

Heptagonal/Septagonal Prism

Illustration of a regular right heptagonal/septagonal prism with regular heptagons/septagons for bases…

Illustration of a right heptagonal/septagonal prism with regular heptagons/septagons for bases and rectangular faces. The hidden edges are shown.

Heptagonal/Septagonal Prism

Illustration of a right heptagonal/septagonal prism with regular heptagons/septagons for bases and rectangular…

Illustration of 2 similar right heptagonal/septagonal prisms. Both have regular heptagons/septagons for bases and rectangular faces. The height of the prism and length of the side of the heptagon on the smaller heptagonal prism are one half that of the larger.

Similar Heptagonal/Septagonal Prisms

Illustration of 2 similar right heptagonal/septagonal prisms. Both have regular heptagons/septagons…

Illustration of a right heptagonal/septagonal prism with regular heptagons/septagons for bases and rectangular faces.

Heptagonal/Septagonal Prism

Illustration of a right heptagonal/septagonal prism with regular heptagons/septagons for bases and rectangular…

Illustration of a right hexagonal prism.

Hexagonal Prism

Illustration of a right hexagonal prism.

Illustration of a right hexagonal prism with hidden edges shown.

Hexagonal Prism

Illustration of a right hexagonal prism with hidden edges shown.

Illustration of a right hexagonal prism with a height less than the length of the edge of the hexagon.

Hexagonal Prism

Illustration of a right hexagonal prism with a height less than the length of the edge of the hexagon.

Illustration of a right hexagonal prism with a height greater than the length of the edge of the hexagon.

Hexagonal Prism

Illustration of a right hexagonal prism with a height greater than the length of the edge of the hexagon.

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of the hexagon on the smaller hexagonal prism are one half that of the larger.

Similar Hexagonal Prisms

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of…

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of the hexagon on the smaller hexagonal prism are one half that of the larger.

Similar Hexagonal Prisms

Illustration of 2 similar right hexagonal prisms. The height of the prism and length of the side of…

A cluster of 4 right hexagonal prisms with congruent bases, but varying heights.

4 Hexagonal Prisms

A cluster of 4 right hexagonal prisms with congruent bases, but varying heights.

Illustration of a right hexagonal prism with hexagons for bases and square faces.

Hexagonal Prism

Illustration of a right hexagonal prism with hexagons for bases and square faces.

Illustration of a right hexagonal prism with hexagons for bases and square faces. The hidden edges are shown.

Hexagonal Prism

Illustration of a right hexagonal prism with hexagons for bases and square faces. The hidden edges are…

Illustration of a right hexagonal prism with hexagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the hexagon. The hidden edges are shown.

Hexagonal Prism

Illustration of a right hexagonal prism with hexagons for bases and rectangular faces. The height of…

Illustration of a right nonagonal prism with regular nonagons for bases and rectangular faces. The hidden edges are shown.

Nonagonal Prism

Illustration of a right nonagonal prism with regular nonagons for bases and rectangular faces. The hidden…

Illustration of a right nonagonal prism with regular nonagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the nonagon. The hidden edges are shown.

Nonagonal Prism

Illustration of a right nonagonal prism with regular nonagons for bases and rectangular faces. The height…

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The hidden edges are shown.

Octagonal Prism

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The hidden…

Illustration of 2 right octagonal prisms with congruent bases, but different heights. The height of the smaller prism is one half that of the larger.

2 Octagonal Prisms

Illustration of 2 right octagonal prisms with congruent bases, but different heights. The height of…

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller prism are one half that of the larger.

2 Similar Octagonal Prisms

Illustration of 2 Similar right octagonal prisms. The height and length of the edges of the smaller…

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the octagon. The hidden edges are shown.

Octagonal Prism

Illustration of a right octagonal prism with regular octagons for bases and rectangular faces. The height…

Illustration of a right octagonal prism with octagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the octagon.

Octagonal Prism

Illustration of a right octagonal prism with octagons for bases and rectangular faces. The height of…

Illustration of a right octagonal prism, with octagons for bases and rectangular faces, that is resting on its side (an edge). The height of the prism is greater than the length of a side of the octagon.

Octagonal Prism Resting On Side

Illustration of a right octagonal prism, with octagons for bases and rectangular faces, that is resting…

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The height of the prism is greater than the length of a side of the pentagon. The hidden edges are shown.

Pentagonal Prism

Illustration of a right pentagonal prism with regular pentagons for bases and rectangular faces. The…