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"The dihexagonal pyramid is a form of twenty-four isoceles triangular faces, each of which intersects all three of the horizontal axes differently and intersects also the vertical axis." — Ford, 1912

Dihexagonal pyramid

"The dihexagonal pyramid is a form of twenty-four isoceles triangular faces, each of which intersects…

"A complex crystal of apatite with the faces of a third-order pyramid upon it." — Ford, 1912

Apatite

"A complex crystal of apatite with the faces of a third-order pyramid upon it." — Ford, 1912

"The rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position to the alternate faces of a hexagonal pyramid of the first order. There may be two different orientations of rhombohedron. A positive rhombohedron is shown." — Ford, 1912

Positive rhombohedron

"The rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position…

"The rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position to the alternate faces of a hexagonal pyramid of the first order. There may be two different orientations of rhombohedron. A negative rhombohedron is shown." — Ford, 1912

Negative rhombohedron

"The rhombohedron is a form consists of six rhombic-shaped faces, which correspond in their position…

"This form consists of twelve scalene triangular faces. These faces correspond in their position to the alternate pairs of faces of a dihexagonal pyramid." — Ford, 1912

Scalenohedron

"This form consists of twelve scalene triangular faces. These faces correspond in their position to…

"Tourmaline crystals show the forms of the Rhombohedral Class but with hemispherical development. They are also commonly characterized by the presence of three faces of a triangular prism." — Ford, 1912

Tourmaline

"Tourmaline crystals show the forms of the Rhombohedral Class but with hemispherical development. They…

"Tourmaline crystals show the forms of the Rhombohedral Class but with hemispherical development. They are also commonly characterized by the presence of three faces of a triangular prism." — Ford, 1912

Tourmaline

"Tourmaline crystals show the forms of the Rhombohedral Class but with hemispherical development. They…

"Tourmaline crystals show the forms of the Rhombohedral Class but with hemispherical development. They are also commonly characterized by the presence of three faces of a triangular prism." — Ford, 1912

Tourmaline

"Tourmaline crystals show the forms of the Rhombohedral Class but with hemispherical development. They…

"The quartz crystals are said to be right or left handed, depending upon whether these faces are to be observed trunctuating the edges between prism and rhombohedron." — Ford, 1912

Right-handed quartz

"The quartz crystals are said to be right or left handed, depending upon whether these faces are to…

"The quartz crystals are said to be right or left handed, depending upon whether these faces are to be observed trunctuating the edges between prism and rhombohedron." — Ford, 1912

Left-handed quartz

"The quartz crystals are said to be right or left handed, depending upon whether these faces are to…

"An orthorhombic pyramid has eight triangular faces, each of which intersects all three of the crystallographic axes." — Ford, 1912

Pyramid

"An orthorhombic pyramid has eight triangular faces, each of which intersects all three of the crystallographic…

"Curved faces of the hexoctahedron are frequently observed." — Ford, 1912

Diamond

"Curved faces of the hexoctahedron are frequently observed." — Ford, 1912

"Orthohombric. Crystals usually short prismatic to tabular. Sometimes quite complex with many prism, pyramid and dome faces. Frequently twinned, giving tabular crystals with recurring reentrant angles in the prism zone." — Ford, 1912

Bournonite

"Orthohombric. Crystals usually short prismatic to tabular. Sometimes quite complex with many prism,…

"Terminated usually by a combination of a positive and negative rhombohedron, which often are so equally developed as to give the effect of a hexagonal pyramid. Sometimes one rhombohedron predominates or occurs alone. At times the prism faces are wanting, and the combination of the two rhombodendrons gives what appears to be a doubly terminated hexagonal pyramid, known as a quartzoid." — Ford, 1912

Quartz

"Terminated usually by a combination of a positive and negative rhombohedron, which often are so equally…

"Hexagonal-rhombohedral. Crystals are usually the unit rhombohedron (cleavage rhombohedron). Faces often curved, and sometimes so acurately as to form "saddle-shaped" crystals. Other forms rare." — Ford, 1912

Dolomite

"Hexagonal-rhombohedral. Crystals are usually the unit rhombohedron (cleavage rhombohedron). Faces often…

"Orthorhombic. Tabular; consisting of prominent brachypinacoid faces modified by a prism and a low brachydome." — Ford, 1912

Aragonite

"Orthorhombic. Tabular; consisting of prominent brachypinacoid faces modified by a prism and a low brachydome."…

"Monoclinic. Crystals prismatic in habit; the prism faces make angles of 55 and 125 degrees with each other." — Ford, 1912

Amphibole

"Monoclinic. Crystals prismatic in habit; the prism faces make angles of 55 and 125 degrees with each…

"Monoclinic. Crystals prismatic in habit; the prism faces make angles of 55 and 125 degrees with each other." — Ford, 1912"

Amphibole

"Monoclinic. Crystals prismatic in habit; the prism faces make angles of 55 and 125 degrees with each…

"Hexagonal. Strong prismatic habit. Frequently vertically striated and grooved. Forms usually present consist only of prism of first order and base. Small pyramid faces of both the first and second orders sometimes occur, but the pyramid faces are rarely prominent." — Ford, 1912

Beryl

"Hexagonal. Strong prismatic habit. Frequently vertically striated and grooved. Forms usually present…

"Tetragonal; tripyramidal. Crystals usually prismatic. Prominent forms are prisms of the first and second order, pyramid of first. Rarely shows the faces of the pyramid of the third order." — Ford, 1912

Wernerite

"Tetragonal; tripyramidal. Crystals usually prismatic. Prominent forms are prisms of the first and second…

"Monoclinic. Crystals are often much elongated parallel to the ortho-axis with a prominent development of the faces of the orthodome zone, giving them a prismatic aspect. Striated parallel to the ortho-axis. Terminated usually at one end of the ortho-axis and most commonly by the two faces of a pyramid." — Ford, 1912

Epidote

"Monoclinic. Crystals are often much elongated parallel to the ortho-axis with a prominent development…

"Orthohombic, hemimorphic. Crystals usually tabular parallel to the brachypinacoid. They show prism faces and are terminated above usually by a combination of macrodomes and brachydomes and base, and below by a pyramid." — Ford, 1912

Calamine

"Orthohombic, hemimorphic. Crystals usually tabular parallel to the brachypinacoid. They show prism…

"Hexagonal-rhombohedral; hemimorphic. Crystals usually prismatic, vertically striated. A triangular prism, with three faces, prominent, which with the tendency of the prism faces to be vertically striated and to round into each other gives the crystals usually a cross section like a spherical triangle." — Ford, 1912

Tourmaline

"Hexagonal-rhombohedral; hemimorphic. Crystals usually prismatic, vertically striated. A triangular…

"Hexagonal-rhombohedral; hemimorphic. Crystals usually prismatic, vertically striated. A triangular prism, with three faces, prominent, which with the tendency of the prism faces to be vertically striated and to round into each other gives the crystals usually a cross section like a spherical triangle. Crystals are commonly terminated by base and low positive and negative rhombohedrons; sometimes scalenohedrons are present. When the crystals are doubly terminated they usually show different forms at the opposite ends of the vertical axis." — Ford, 1912

Tourmaline

"Hexagonal-rhombohedral; hemimorphic. Crystals usually prismatic, vertically striated. A triangular…

"Monoclinic. Crystals varied in habit. Often with prominent basal plane which is steeply inclined and which in combination with short prism and pyramid faces gives a thin wedge-shaped crystal." — Ford, 1912

Titanite

"Monoclinic. Crystals varied in habit. Often with prominent basal plane which is steeply inclined and…

"Monoclinic. Crystals varied in habit. Often with prominent basal plane which is steeply inclined and which in combination with short prism and pyramid faces gives a thin wedge-shaped crystal." — Ford, 1912

Titanite

"Monoclinic. Crystals varied in habit. Often with prominent basal plane which is steeply inclined and…

"Orthohombic. Crystals usually tabular parallel to base; often diamond shaped because of the presence of a short prism. Both macro- and brachydomes usually present, either beveling the corners of the diamond-shaped crystals, or if the prism faces are wanting, beveling the edges of the tavles and forming rectangular prismatic-shaped crystals elongated parallel to either the brachy- or macro-axis." — Ford, 1912

Barite

"Orthohombic. Crystals usually tabular parallel to base; often diamond shaped because of the presence…

"Orthohombic. Crystals usually tabular parallel to base; often diamond shaped because of the presence of a short prism. Both macro- and brachydomes usually present, either beveling the corners of the diamond-shaped crystals, or if the prism faces are wanting, beveling the edges of the tavles and forming rectangular prismatic-shaped crystals elongated parallel to either the brachy- or macro-axis." — Ford, 1912

Barite

"Orthohombic. Crystals usually tabular parallel to base; often diamond shaped because of the presence…

"Orthorhombic. Crystals resemble closely those of barite. Commonly tabular parallel to the base or prismatic parallel to the brachy- or macro-axis with prominent development of the domes. Crystals which are elongated parallel to the brachy-axis are frequently terminated in front by four faces in nearly equal development, consisting of 2 prism faces and 2 of the macrodome." — Ford, 1912

Celestite

"Orthorhombic. Crystals resemble closely those of barite. Commonly tabular parallel to the base or prismatic…

"Monoclinic. Crystals usually tabular parallel to clinopinacoid; in diamond-shaped crystals with edges beveled by prism and pyramid faces." — Ford, 1912

Gypsum

"Monoclinic. Crystals usually tabular parallel to clinopinacoid; in diamond-shaped crystals with edges…

"Monoclinic. Crystals usually tabular parallel to clinopinacoid; in diamond-shaped crystals with edges beveled by prism and pyramid faces. Other forms rare. Sometimes twinned." — Ford, 1912

Gypsum

"Monoclinic. Crystals usually tabular parallel to clinopinacoid; in diamond-shaped crystals with edges…

"Tetragonal; tri-pyramidal. Crystals usually simple pyramids of first order. Closely resemble isometric octahedrons in angles. Faces of the pyramid of third order are small and rare." — Ford, 1912

Scheelite

"Tetragonal; tri-pyramidal. Crystals usually simple pyramids of first order. Closely resemble isometric…

"These are two Turkish women, who have their heads and faces wrapped up." —Carpenter, 1902

Turkish women

"These are two Turkish women, who have their heads and faces wrapped up." —Carpenter, 1902

A banner of the faces of the heroes of the Trojan War.

Heroes of the Trojan War

A banner of the faces of the heroes of the Trojan War.

"These were disgusting birds, with the heads of maidens, with long claws and faces pale with hunger. They were sent by the gods to torment a certain Phineus." —Bulfinch, 1897

Harpies

"These were disgusting birds, with the heads of maidens, with long claws and faces pale with hunger.…

"A modern small house with the 'lean-to' motif. Notice that the long slope faces the front." —Kinne, 1920

Modern house

"A modern small house with the 'lean-to' motif. Notice that the long slope faces the front." —Kinne,…

A polyhedron with eight faces.

Octahedron

A polyhedron with eight faces.

A regular body with six square faces; a rectangular parallelopiped, having all its edges equal.

Cube

A regular body with six square faces; a rectangular parallelopiped, having all its edges equal.

A solid with fourteen faces formed by cutting off the corners of a cube parallel to the coxial octahedron far enough to leave the original faces squares, while adding eight triangular faces at the truncations.

Cuboctahedron

A solid with fourteen faces formed by cutting off the corners of a cube parallel to the coxial octahedron…

A small cubed marked on its faces with spots numbering from one to six, used in gaming from being thrown from a box or hand.

Roman Die

A small cubed marked on its faces with spots numbering from one to six, used in gaming from being thrown…

A regular solid each face of which has the same boundaries as five covertical faces of an ordinary icosahedron.

Great Dodecahedron

A regular solid each face of which has the same boundaries as five covertical faces of an ordinary icosahedron.

A solid consisting of 12 similiar faces, each of which is rhomb, the angle between any two adjacent face being 120 degrees.

Rhombic Dodecahedron

A solid consisting of 12 similiar faces, each of which is rhomb, the angle between any two adjacent…

A solid consisting of similiar faces, each of which is a pentagon.

Pentagonal Dodecahedron

A solid consisting of similiar faces, each of which is a pentagon.

A regular dyocaetriacontahedron formed by cutting off the faces of a regular dodecahedron parallel to those of the coxial icosahedron so as to leave the former decagons.

Truncated Dodecahedron

A regular dyocaetriacontahedron formed by cutting off the faces of a regular dodecahedron parallel to…

Daisies with womens' faces in them.

Daisies

Daisies with womens' faces in them.

A solid having two parallel polygonal bases connected by triangular faces.

Prismatoid

A solid having two parallel polygonal bases connected by triangular faces.

A geometric shape containing twelve faces.

Rhombic Dodecahedron

A geometric shape containing twelve faces.

"Crown-work, in Fortification, is formed to strengthen a weak front, or to occupy ground which might facilitate the enemy's operations. It consists of two faces inclined to each other at an angle, with a bastion in the middle, and half-bastions at the two ends; and it is connected with the main body of the work by two long sides. RMNPS is the crown-work, in front of and protecting the ravelin O. Both of these works are entirely beyong the main ditch of the place, but each has also a ditch of its own." — Chambers' Encyclopedia, 1875

Crown-Work

"Crown-work, in Fortification, is formed to strengthen a weak front, or to occupy ground which might…

"Curtain, in Fortification, is the portion of rampart or wall between two bastions or two gates. In a regular siege, to batter down the curtain is one of the main operations depended on; and many of the external works constructed by the defenders are intended to frustrate, or at least embarrass, this operation. In the annexed cut, which shows a ground-plan of some of the elements of a regular fortification, FF' is the curtain; HAEF, a bastion. The component parts of the bastion are thus designated: AH and AE, two faces; EF and GH, two flanks; A, the salient; FG, the gorge; and H and E, the shoulders. mn is the rampart; mo, the parapet on the rampart; QPQ', the ditch; NO, the covery-way; RWR', the glacis; KLL', a ravelin." — Chambers' Encyclopedia, 1875

Curtain

"Curtain, in Fortification, is the portion of rampart or wall between two bastions or two gates. In…

"An optical instrument employed to facilitate the sketching of objects from nature by producing a reflected picture of them upon paper. Wollaston's apparatus is one of the commonest. The essential part is a totally-reflecting prism with four angles, one of which is 90 degrees, the opposite one 135 degrees, and the other two each 67 degrees. One of the two faces which contain the right angle is turned towards the object to be sketched." — Winston's Encyclopedia, 1919

Camera Lucida

"An optical instrument employed to facilitate the sketching of objects from nature by producing a reflected…

"If again the light was to revolve, then a revolving chandelier was employed having a certain number of flat faces, on each of which was fixed a number separate lamps and reflectors with their axes parallel to each other. When the chandelier revolved, and one of the flat sides was turned towards the sailor, he would, when at some distance from the shore, receive a flash at once form each of the mirrors which were on that face, but when the face was turned away from him a dark period would intervene until the next face came round again." —The Encyclopedia Britannica, 1910

Revolving Light

"If again the light was to revolve, then a revolving chandelier was employed having a certain number…

"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…

The face of a boy.

Boy

The face of a boy.

The face of a man.

Man

The face of a man.

This object is a cube, having therefore all its faces of equal dimensions; and as both sides recede, "angular perspective" is employed. The point of sight, horizontal line, and point of station, having been fixed upon, the line A is first to be drawn, touching the bottom of the nearest corner, and is for the geometrical scale or height of the cube, which, in this instance, will be called twelve feet; that is, twelve feet must be marked on the scale from the corner on either side. 1) The ground line of the square, taken from the centre of the geometrical scale line to the horizontal line; by its junction with which is determined the vanishing point or that side. 2) A line drawn from the above vanishing point to the point of station. 3) A line drawn at right angles at the point of station to the line 2, as far as the horizontal line, its intersection with which will give the correct vanishing point to the other side. 4) The ground line of the cube running to the last vanishing point. 5) The nearest corner of the cube, twelve feet in height, being equal to the width. The points of measurement are next to be ascertained, and to be marked in the usual way; and the lines B drawn from the ends of the geometrical scale towards the point of measurement give the perspective width or depth of both sides. This is found at their cutting of the ground lines 1 and 4. The line 6 represents the top line of one side of the cube, and runs from the nearest corner to the vanishing point. 7) The other top line; and it is drawn to the other vanishing point. 8) The far corner line raised vertically from the crossing of the lines B and 1. 9) The other corner line raised vertically from the intersection of the lines B and 4. The lines 1, 4, 5, 6, 7, 8, 9, being strengthened, the figure is complete.

Angular Perspective

This object is a cube, having therefore all its faces of equal dimensions; and as both sides recede,…

This painting, by Francesco Raibolini, was painted soon after 1500 for the Benedictines of Parma. The emotional expressions on the faces of the figures is apparent here. The piece can now be found in the Accademia in Parma.

Deposition from the Cross

This painting, by Francesco Raibolini, was painted soon after 1500 for the Benedictines of Parma. The…

Within the banner are floral arrangements made to look like bearded men.

Banner

Within the banner are floral arrangements made to look like bearded men.

The goniometer is an instrument for measuring the angles of crystals. Nicolaus Stena in 1669 determined the interfacial angles of quartz crystals by cutting sections perpendicular to the edges, he plane angles of the sections being then the angles between faces which are perpendicular to the sections.

Horizontal-Circle Goniometer

The goniometer is an instrument for measuring the angles of crystals. Nicolaus Stena in 1669 determined…

The goniometer is an instrument for measuring the angles of crystals. Nicolaus Stena in 1669 determined the interfacial angles of quartz crystals by cutting sections perpendicular to the edges, he plane angles of the sections being then the angles between faces which are perpendicular to the sections.

Vertical Circle Goniometer

The goniometer is an instrument for measuring the angles of crystals. Nicolaus Stena in 1669 determined…

Represents the combination of an octrahedron and a cube, with the cube faces predominate.

Cube in Combination with Octahedron

Represents the combination of an octrahedron and a cube, with the cube faces predominate.