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A Roman scutum shield.

Roman scutum

A Roman scutum shield.

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sea monster.

Sea Monster

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a Sea Monster.

Sea Monster

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sea monster.

Sea Monster

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sea monster.

Sea Monster

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sea turtle.

Sea Turtle

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sea turtle.

Sea Turtle

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sea turtle.

Sea Turtle

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sea turtle.

Sea Turtle

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a seagull.

Seagull

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a seagull.

Seagull

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a seagull.

Seagull

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a seagull.

Seagull

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

"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

Second Right Square Octahedron

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

"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

Second Right Square Prism

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

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a shark.

Shark

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a shark.

Shark

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a shark.

Shark

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a shark.

Shark

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a ship.

Ship

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a ship.

Ship

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a ship.

Ship

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a ship.

Ship

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

A shovel with a square scoop.

Square-Nosed Shovel

A shovel with a square scoop.

"A signet ring has a square revolving bezel on which are four serpents interlaced." —The Encyclopedia Britannica, 1910

Signet Ring

"A signet ring has a square revolving bezel on which are four serpents interlaced." —The Encyclopedia…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sitting cat.

Sitting Cat

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sitting cat.

Sitting Cat

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sitting cat.

Sitting Cat

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a sitting cat.

Sitting Cat

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a small house.

Small House

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures consisting of triangles, squares, and parallelograms are used to construct the given shape. This tangram depicts a smoking pipe.

Smoking Pipe

Tangrams, invented by the Chinese, are used to develop geometric thinking and spatial sense. Seven figures…

Square with angles labeled. A rectangle with four equal sides.

Square

Square with angles labeled. A rectangle with four equal sides.

Square with diagonal and angles labeled.

Square

Square with diagonal and angles labeled.

Illustration of a square, a rectangle with all sides equal.

Square

Illustration of a square, a rectangle with all sides equal.

Square with diagonal drawn.

Square With Diagonal

Square with diagonal drawn.

An illustration of a square and triangles within the square. This is an example of a problem that can be used to fine the distances of two inaccessible objects without measuring elevation and whether on a horizontal plane or not.

Square

An illustration of a square and triangles within the square. This is an example of a problem that can…

An illustration used to "square a circumference".

Square And Circle

An illustration used to "square a circumference".

An illustration used to "square a cirleplane".

Square And Circle

An illustration used to "square a cirleplane".

Illustration used to construct a square on a given line.

Construction of Square on Given Line

Illustration used to construct a square on a given line.

The Arabian square panel is found on a 16th century wooden door.

Arabian Square Panel

The Arabian square panel is found on a 16th century wooden door.

Arabian mosaic square panel.

Arabian Mosaic Square Panel

Arabian mosaic square panel.

The Assyrian pavement square panel is a divided into eight equal spaces that are decorated with a repeated design.

Assyrian Pavement Square Panel

The Assyrian pavement square panel is a divided into eight equal spaces that are decorated with a repeated…

This bas-relief square panel is a 12th century design that is found on the tomb of Peter the Venerable who was an abbot in France.

Bas-Relief Square Panel

This bas-relief square panel is a 12th century design that is found on the tomb of Peter the Venerable…

The Byzantine square panel design is a bas-relief design found in San Marco, Venice, Italy.

Byzantine Square Panel

The Byzantine square panel design is a bas-relief design found in San Marco, Venice, Italy.

This decorated square panel is found on a 10th century book. This panel is divided into eight equal spaces that are decorated with a repeated design.

Decorated Square Panel

This decorated square panel is found on a 10th century book. This panel is divided into eight equal…

The Gothic square panel is a 15th century design of tiles found in Bloxham church, England.

Gothic Square Panel

The Gothic square panel is a 15th century design of tiles found in Bloxham church, England.

The Greek square panel is found in Athens. This panel is divided into eight equal spaces that are decorated with a repeated design.

Greek Square Panel

The Greek square panel is found in Athens. This panel is divided into eight equal spaces that are decorated…

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis in Athens. The design is of many rays of stars.

Greek Square Panel

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis…

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis in Athens. This panel is divided into eight equal spaces that are decorated with a repeated design.

Greek Square Panel

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis…

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis in Athens. This panel is divided into eight equal spaces that are decorated with a repeated design.

Greek Square Panel

The Greek square panel is found on the coffer of the Propylaea ceiling, the entrance to the Acropolis…

The Greek square panel is found on the coffer of the Parhtenon ceiling, a Greek Temple. This panel is divided into eight equal spaces that are decorated with a repeated design.

Greek Square Panel

The Greek square panel is found on the coffer of the Parhtenon ceiling, a Greek Temple. This panel is…

The inlaid work square panel is a geometrical interlaced band.

Inlaid Work Square Panel

The inlaid work square panel is a geometrical interlaced band.

The inlaid work square panel is a geometrical interlaced band.

Inlaid Work Square Panel

The inlaid work square panel is a geometrical interlaced band.

The Medieval square panel is a tile that is divided into eight equal spaces that are decorated with a repeated design.

Medieval Square Panel

The Medieval square panel is a tile that is divided into eight equal spaces that are decorated with…