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The Lincoln Cathedral (The Cathedral Church of the Blessed Virgin Mary of Lincoln) is a geometric style Gothic cathedral in Canterbury, England.

Lincoln Cathedral

The Lincoln Cathedral (The Cathedral Church of the Blessed Virgin Mary of Lincoln) is a geometric style…

This bowl has a geometric pattern on the outside with a wavy rim. The inside design features engravings of angels and a Trojan warrior.

Decorative Bowl

This bowl has a geometric pattern on the outside with a wavy rim. The inside design features engravings…

This table cloth is made with damask, a weaving technique. It is woven in an arabesque pattern which is a repeating geometric form that is inspired from plants and animals.

Table Cloth

This table cloth is made with damask, a weaving technique. It is woven in an arabesque pattern which…

This floor rug is designed in a geometric style. It is used as a floor covering and for decorative purposes.

Floor Rug

This floor rug is designed in a geometric style. It is used as a floor covering and for decorative purposes.

This Russian vase was contributed to the Crystal Palace in London, England (burnt down, no longer there). The vase has a geometric like design and includes a lid.

Russian Vase

This Russian vase was contributed to the Crystal Palace in London, England (burnt down, no longer there).…

This russian vase was contributed to the Crystal Palace in London, England (burnt down, no longer there). The vase is covered and has a geometric like design with figures all around.

Russian Vase

This russian vase was contributed to the Crystal Palace in London, England (burnt down, no longer there).…

This covered cup was made in Moscow, Russia in a German 15th century style. The cup is footed with a geometric like design.

Covered, Cup

This covered cup was made in Moscow, Russia in a German 15th century style. The cup is footed with a…

This covered cup was made in Moscow, Russia in a German 15th century style. It has a handle and is in a geometric like design.

Covered, Cup

This covered cup was made in Moscow, Russia in a German 15th century style. It has a handle and is in…

This covered cup was made in Moscow, Russia in a German 15th century style. It has a handle and is in a geometric like design.

Covered, Cup

This covered cup was made in Moscow, Russia in a German 15th century style. It has a handle and is in…

This coffee pot was made in Paris, France. It has a geometric like engraving of leaves and scrolls.

Coffee Pot

This coffee pot was made in Paris, France. It has a geometric like engraving of leaves and scrolls.

This sideboard is designed in a Gothic style. It has a floral design with geometric form.

Sideboard

This sideboard is designed in a Gothic style. It has a floral design with geometric form.

Color flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and red; centered on the hoist-side red band in yellow is the national emblem ("soyombo" - a columnar arrangement of abstract and geometric representation for fire, sun, moon, earth, water, and the yin-yang symbol).

Flag of Mongolia, 2009

Color flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and red; centered on…

Black and white outline flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and red; centered on the hoist-side red band in yellow is the national emblem ("soyombo" - a columnar arrangement of abstract and geometric representation for fire, sun, moon, earth, water, and the yin-yang symbol)

Flag of Mongolia, 2009

Black and white outline flag of Mongolia. Three equal, vertical bands of red (hoist side), blue, and…

Silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Tangram Card #2

Silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Solution Tangram Card

Solutions for silhouette outlines of animals (bear, kangaroo, camel, giraffe) made from tangram pieces.…

Solutions for silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Animals Silhouette Solution Tangram Card #2

Solutions for silhouette outlines of animals (fox, rabbit, cat) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Birds Silhouette Solution Tangram Card

Solutions for silhouette outlines of birds (duck, swan, turkey vulture, cormorant, and egret) made from…

Solutions for silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Boats Silhouette Solution Tangram Card

Solutions for silhouette outlines of boats (sailboat, ship, yacht) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Buildings Silhouette Solution Tangram Card

Solutions for silhouette outlines of buildings (house, lighthouse) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Fish Silhouette Solution Tangram Card

Solutions for silhouette outlines of fish (shark, parrot fish, angelfish, flounder, hogfish, beta) made…

Solutions for silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture, cormorant) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Florida Birds Silhouette Solution Tangram Card

Solutions for silhouette outlines of Florida birds (seagull, mocking bird, egret, flamingo, turkey vulture,…

Solutions for silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Household Items Silhouette Solution Tangram Card

Solutions for silhouette outlines of household items (iron, pipe, kettle, cup, candle, hammer) made…

Solutions for silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card

Solutions for silhouette outlines of people (runners) made from tangram pieces. Tangrams, invented by…

Solutions for silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #2

Solutions for silhouette outlines of people (runners, dancers) made from tangram pieces. Tangrams, invented…

Solutions for silhouette outlines of people (woman standing, water skier, woman kneeling, man walking) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #3

Solutions for silhouette outlines of people (woman standing, water skier, woman kneeling, man walking)…

Solutions for silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #4

Solutions for silhouette outlines of people (swimmer, reclining man, butler, diver) made from tangram…

Solutions for silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #5

Solutions for silhouette outlines of people (ice skater, saint statue, walking man, reclining man) made…

Solutions for silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

People Silhouette Solution Tangram Card #6

Solutions for silhouette outlines of people (silhouettes of men) made from tangram pieces. Tangrams,…

Solutions for silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Sea Animals Silhouette Solution Tangram Card

Solutions for silhouette outlines of sea animals (sea monster, dolphin, sea turtle, stingray) made from…

Solutions for silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow, rhombus, hexagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Solution Tangram Card

Solutions for silhouette outlines of shapes (rectangle, parallelogram, isosceles triangle, double arrow,…

Solutions for silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram pieces. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Shapes Silhouette Solution Tangram Card #2

Solutions for silhouette outlines of shapes (quadrilateral, hexagon, arrow, pentagon) made from tangram…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Small Dotted Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Solid Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, White with Small Dotted Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, White with Solid Lines

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Small Dotted Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Solid Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Small Dotted Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. 7 figures consisting of triangles, squares, and parallelograms are used to construct the given shapes.

Tangram Pattern, Black with Solid Lines and Instructions

Tangram pattern with black pieces and thin white-dotted lines. Tangrams, invented by the Chinese, are…

Star with 5 points with lines of symmetry.

Star, 5-Point

Star with 5 points with lines of symmetry.

Star with 6 points with lines of symmetry.

Star, 6-Point

Star with 6 points with lines of symmetry.

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points up and toward the right.

Ray Pointing Up and Right

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points down and toward the left.

Ray Pointing Down and Left

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points down and toward the right.

Ray Pointing Down and Right

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points up and toward the left.

Ray Pointing Up and Right

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points toward the left.

Ray Pointing Left

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points toward the right.

Ray Pointing Right

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points down.

Ray Pointing Down

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration points up.

Ray Pointing Up

A ray has one endpoint and extends indefinitely in the other direction. The ray in this illustration…

The object can revolve around an axis (H) to create a projection on the other plane without changing the size, shape, and dimensions.

Revolution About Axis Perpendicular to H

The object can revolve around an axis (H) to create a projection on the other plane without changing…

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may be copied in the new position distance from the ground line to any point in the top view be unchanged, hence the new top view may be found by projecting up from the front view and across from the original top view" —French, 1911

Revolution About Axis Perpendicular to V

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may…

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may be copied in the new position distance from the ground line to any point in the top view be unchanged, hence the new top view may be found by projecting up from the front view and across from the original top view" —French, 1911

Revolution About Axis Forward or Back

"The pyramid be revolved about an axis perpendicular to V, the front view will be unchanged and may…

"A block revolved from its first position about an axis perpendicular to H through 45 degrees, then about an axis perpendicular to P through 45 degrees until the cut face MNO is parallel to the vertical plane. To avoid confusion it is well to letter or number the corresponding points as the views are carried along." —French, 1911

Successive Revolutions of Geometric Shapes

"A block revolved from its first position about an axis perpendicular to H through 45 degrees, then…

"The H projection of the line AB in the space is a line connecting the feet of all the perpendiculars from AB to the plane. These perpendiculars form what is known as the projecting plane. If this projecting plane to be revolved about its H trace, which is the H projection of the line, until it coincides with H, the line will be seen in its true length." —French, 1911

Revolutions into the Plane of Geometric Shapes

"The H projection of the line AB in the space is a line connecting the feet of all the perpendiculars…

"The distance of A and B below H is indicated on the V projection. Thus if to A∧h B∧h the perpendiculars A∧h A;and;r and B∧h B∧r be drawn, A∧r B∧r will be the true length of A B." —French, 1911

Construction of Geometric Revolution

"The distance of A and B below H is indicated on the V projection. Thus if to A∧h B∧h the perpendiculars…

An exercise problem in creating a development or rolled out surface of a cylinder in a 4" by 5" drawing area.

Development Exercise of Cylinder

An exercise problem in creating a development or rolled out surface of a cylinder in a 4" by 5" drawing…

The exercise problem of creating a three piece elbow development or rolled out image of the cylinder using projections or with dividers.

Development Exercise of Cylinder using Three Piece Elbow

The exercise problem of creating a three piece elbow development or rolled out image of the cylinder…

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…

A development or rolled out image exercise problem of the dome and finding the true shape of the hip, or edge, of the dome by using projections or with dividers.

Development Exercise of Dome and True Shape of Hip

A development or rolled out image exercise problem of the dome and finding the true shape of the hip,…

Exercise problem to develop, or rolled out, image of the triangular pyramid by creating an equal length of the edges of each triangle.

Development Exercise of Triangular Pyramid

Exercise problem to develop, or rolled out, image of the triangular pyramid by creating an equal length…