This image shows one of Friedrich Froebel's divided cube (this one divided into many smaller cubes and prisms). Froebel's cubes were used to encourage creativity in kindergarten-age children. The children could rearrange the smaller shapes into combinations that showed life, knowledge, and beauty.

Froebel's Divided Cube (Complex)

This image shows one of Friedrich Froebel's divided cube (this one divided into many smaller cubes and…

A hand holding a square pyramid, suspended by a string.

Hand and pyramid

A hand holding a square pyramid, suspended by a string.

Projection of a hexagonal bar.

Projection of Hexagonal Bar

Projection of a hexagonal bar.

Projection of a hexagonal nut.

Projection of Hexagonal Nut

Projection of a hexagonal nut.

"Science has succeeded in classifying the thousands of known crystals in six systems, to each of which belongs a number of forms having some property in common. In order to classify these different crystals, the existence of certain lines within the crystal, called axes, is assumed, around which the form can be symmetrically build up. These axes are assumed to intersect in the center of the crystal, and to pass through from one side to the other." — Hallock, 1905

Hexagonal Prism

"Science has succeeded in classifying the thousands of known crystals in six systems, to each of which…

"...shows a combination of a hexagonal prism (m) with the basal pinacoid (c)." -The Encyclopedia Britannica 1910

Hexagonal Prism and Basal Pinacoid

"...shows a combination of a hexagonal prism (m) with the basal pinacoid (c)." -The Encyclopedia Britannica…

"Hexagonal prism of the first order, consisting of six faces also parallel to the hexad axis, but perpendicular to the other set of three vertical planes of symmetry." -The Encyclopedia Britannica 1910

Hexagonal Prism of the First Order

"Hexagonal prism of the first order, consisting of six faces also parallel to the hexad axis, but perpendicular…

An illustration of a hexagonal prism rolled out, or "stretched out" in the straight line AB.

Development of Hexagonal Prism

An illustration of a hexagonal prism rolled out, or "stretched out" in the straight line AB.

"Holophotal Catadioptric Apparatus Revolving round a Central Flame." —The Encyclopedia Britannica, 1910

Holophotal Catadioptric

"Holophotal Catadioptric Apparatus Revolving round a Central Flame." —The Encyclopedia Britannica,…

This form shows the planes given on a crystal of hydrous nickel sulphate: the basal pinacoid, (c); three pyramids of the second order, (m), (o), and (q); two pyramids of the first order, (n) and (p); and the prisms of the first and second orders, (r) and (s).

Hydrous Nickel Sulphate

This form shows the planes given on a crystal of hydrous nickel sulphate: the basal pinacoid, (c); three…

Also known as Stolzite, this crystal is bounded by the unit pyramid of the first order, P, {111} (o), and by the prism of the third order, (p).

Lead Tungstate

Also known as Stolzite, this crystal is bounded by the unit pyramid of the first order, P, {111} (o),…

"a, prism; b, plane glass; c, spherical lens; d, double-convex; e, plano-convex, f, double-concave; g, plano-concave; h, meniscus; i, concavo-convex lenses." -Comstock 1850

Lenses of Various Forms

"a, prism; b, plane glass; c, spherical lens; d, double-convex; e, plano-convex, f, double-concave;…

"This consists of four faces parallel to the brachy axis." -The Encyclopedia Britannica 1910

Macro-prism and Brachy-pinacoid

"This consists of four faces parallel to the brachy axis." -The Encyclopedia Britannica 1910

"Orthorhombic. Crystals commonly tabular parallel to basal plane, showing also short prisms and low brachydomes." — Ford, 1912

Marcasite

"Orthorhombic. Crystals commonly tabular parallel to basal plane, showing also short prisms and low…

A problem exercise creating a stretched out or developed image of the octagonal light shade by using the hexagonal pyramid development method.

Development Exercise of Octagonal Light Shade

A problem exercise creating a stretched out or developed image of the octagonal light shade by using…

Problem exercise in drawing a development or a stretchout image of the octagonal roof and finding the true shape of hip rafter by using projections or dividers.

Development Exercise of Octagonal Roof and True Shape of Rafter

Problem exercise in drawing a development or a stretchout image of the octagonal roof and finding the…

"Monoclinic. Crystals are usually prismatic in habit and have as prominent forms, clinopinacoid, base, prism, with often smaller orthodomes." — Ford, 1912

Orthoclase

"Monoclinic. Crystals are usually prismatic in habit and have as prominent forms, clinopinacoid, base,…

This is an orthorhombic crystal of olivine. It is formed by the orthorhombic prism in combination with two pinacoids.

Orthorhombic Crystal of Olivine

This is an orthorhombic crystal of olivine. It is formed by the orthorhombic prism in combination with…

This form shows the fundamental prism (p) on a crystal of topaz, in combination with another prism, (p'); the basal pinacoid, (c); the brachydome, (g); and the four pyramids, (o), (o'), (o''), and (x).

Orthorhombic Crystal of Topaz

This form shows the fundamental prism (p) on a crystal of topaz, in combination with another prism,…

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

Diagram used to prove the theorem: "The opposite faces of a parallelopiped are equal and parallel."

Equal and Parallel Opposite Faces of a Parallelopiped

Diagram used to prove the theorem: "The opposite faces of a parallelopiped are equal and parallel."

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 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…

"A parallelopipedon is a prism whose bases (ends) are parallelograms." —Hallock 1905

Parallelopipedon

"A parallelopipedon is a prism whose bases (ends) are parallelograms." —Hallock 1905

Diagram used to prove the theorem: "The rectangular parallelopipeds which have two dimensions in common are to each other as their third dimension."

Relationship Between 2 Parallelopipeds With Equal Altitudes

Diagram used to prove the theorem: "The rectangular parallelopipeds which have two dimensions in common…

Diagram used to prove the theorem: "The rectangular parallelopipeds are to each other as the product of their three dimensions."

Relationship Between Dimensions of Parallelopipeds

Diagram used to prove the theorem: "The rectangular parallelopipeds are to each other as the product…

Diagram used to prove the theorem: "The volume of a any parallelopiped is equal to the product of its base and its altitude."

Volume of Parallelopiped

Diagram used to prove the theorem: "The volume of a any parallelopiped is equal to the product of its…

Diagram used to prove the theorem: "The volume of a rectangular parallelopiped is equal to the product of its three dimensions."

Volume of Rectangular Parallelopiped

Diagram used to prove the theorem: "The volume of a rectangular parallelopiped is equal to the product…

This crystal is mainly terminated by a rhombohedron of the third order, (x). With this form are associated the prisms of the first and the second order, (m) and (a); another rhombohedron of the third order, (s), and the two rhombohedrons of the first order, (r).

Phenacite

This crystal is mainly terminated by a rhombohedron of the third order, (x). With this form are associated…

"If the base is a square and the prism stands erect—that is, if its sides or lateral planes, as they are called, are perpendicular to the base—the form is termed a right square prism." —The Encyclopedia Britannica, 1903

Primitive Crystal

"If the base is a square and the prism stands erect—that is, if its sides or lateral planes, as…

"When the base is a rectangle instead of a square, the form is a right rectangular prism." —The Encyclopedia Britannica, 1903

Primitive Crystal

"When the base is a rectangle instead of a square, the form is a right rectangular prism." —The…

"When the base is a rhombus, and the prism stands erect, the form is a right rhombic prism." —The Encyclopedia Britannica, 1903

Primitive Crystal

"When the base is a rhombus, and the prism stands erect, the form is a right rhombic prism." —The…

"When the base is a rhomboid, and the prism stands erect, it is only the opposite laeral faces that can be equal. The form is called a right rhomboidal prism." —The Encyclopedia Britannica, 1903

Primitive Crystal

"When the base is a rhomboid, and the prism stands erect, it is only the opposite laeral faces that…

A transparent body, with usually three sides and two equal and parallel triangular ends or bases.

Prism

A transparent body, with usually three sides and two equal and parallel triangular ends or bases.

"Right rhombic prism." — Hallock, 1905

Prism

"Right rhombic prism." — Hallock, 1905

"Doubly oblique prism." — Hallock, 1905

Prism

"Doubly oblique prism." — Hallock, 1905

"A prism is a transparent body with two refraction surfaces that lie in intersecting planes. The angle formed by these planes is called the refracting angle." -Avery 1895

Prism

"A prism is a transparent body with two refraction surfaces that lie in intersecting planes. The angle…

"A prism is a piece of glass, having for its sides three plane surfaces and for its ends two equal and parallel triangles." —Quackenbos 1859

Prism

"A prism is a piece of glass, having for its sides three plane surfaces and for its ends two equal and…

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…

Holohedral orthorhombic combination

Prism and Basal Pinacoid

Holohedral orthorhombic combination

An exercise developed to draw a rolled out or development of the pentagon prism in a 4" by 5" surface.

Pentagon Development Prism Exercise

An exercise developed to draw a rolled out or development of the pentagon prism in a 4" by 5" surface.

An exercise in drawing a pentagonal prism development or rolled out image in a 4" by 5" area.

Pentagonal Prism Development Exercise

An exercise in drawing a pentagonal prism development or rolled out image in a 4" by 5" area.

An illustration to exercise a stretched out, or development, image of the triangular prism using 4" by 5 " surface.

Triangular Prism Development Exercise

An illustration to exercise a stretched out, or development, image of the triangular prism using 4"…

An illustration to draw triangle prism's development, or stretched out surfaces, in a 4" by 5" surface.

Triangle Prism Exercise

An illustration to draw triangle prism's development, or stretched out surfaces, in a 4" by 5" surface.

"...a tube with a slit at the further end through which the light enters, and at the other end a collimating lens which brings the rays into a parallel beam (the slit is formed between two parallel edges the distance between which can be varied at will)..." —Whitney, 1889

Prism Spectroscope from the Late 19th Century

"...a tube with a slit at the further end through which the light enters, and at the other end a collimating…

"Cathetal prisms readily yield the phenomena of total reflection as shown, and are often used when light is to be turned through a right angle." -Avery 1895

Cathetal Prism

"Cathetal prisms readily yield the phenomena of total reflection as shown, and are often used when light…

An illustration of a combination formed by different prisms

Combination of Prisms

An illustration of a combination formed by different prisms

"The dietetragonal prism is a form consisting of eight rectangular vertical faces, each of which intersects one horizontal crystallographic axis and is parallel to the other two axes." — Ford, 1912

Ditetragonal prism

"The dietetragonal prism is a form consisting of eight rectangular vertical faces, each of which intersects…

"The dihexagonal prism has twelve rectangular vertical faces, each of which intersects all three of the horizontal crystallographic axes at different lengths." — Ford, 1912

Dihexagonal prism

"The dihexagonal prism has twelve rectangular vertical faces, each of which intersects all three of…

"The prism of the first order consists of four rectangular vertical faces, each of which intersects the two horizontal crystallographic axes equally." — Ford, 1912

First order prism

"The prism of the first order consists of four rectangular vertical faces, each of which intersects…

Prism with hexagonal bases and dimensions 8 and 12 given.

Hexagonal Prism

Prism with hexagonal bases and dimensions 8 and 12 given.

Diagram used to prove the theorem: "The lateral area of a prism is equal to the product of a lateral edge by the perimeter of a right section."

Lateral Area of A Prism

Diagram used to prove the theorem: "The lateral area of a prism is equal to the product of a lateral…

"Crystal faces are described according to their relations to the crystallographic axes. A series of numbers which indicate the relative distances by which a face intersects the different axes are called its parameters." — Ford, 1912

Orthohombie prism

"Crystal faces are described according to their relations to the crystallographic axes. A series of…

Illustration of the intersection of a prism and a plane.

Intersection of a Prism and a Plane

Illustration of the intersection of a prism and a plane.

Rectangular prism/solid.

Rectangular Prism

Rectangular prism/solid.

Prism with rectangular bases and cubes drawn in.

Rectangular Prism

Prism with rectangular bases and cubes drawn in.

Prism with triangular bases.

Right Triangular Prism

Prism with triangular bases.

"The prism of the second order consists of four rectangular vertical faces, each of which intersects one horizontal crystallographic axis and is parallel to the other two axes." — Ford, 1912

Second order prism

"The prism of the second order consists of four rectangular vertical faces, each of which intersects…