"The Taj Mahal, or Mehal, ('Gem of Buildings'), is a famous mausoleum, erected at Agra, India, by Shah Jehan for his favorite wife. It is 186 feet square with the corners cut off, and consists of two tiers of arches, with a single-arched porch in the middle of each side, the whole surmounted by a dome 58 feet in diameter and about 210 feet in height, flanked by four octagonal kiosks. The interior is divided into four domed chambers in the corners, and a large central arcaded octagon, all connecting by corridors. The central octagon contains two cenotaphs surrounded by a very noticeable openwork marble rail. The only light admitted enters through the delicately pierced marble screens of the windows. The decoration is especially noticeable for the stone mosaics of flower themes and arabesques, much of them in agate, jasper, and bloodstone. The entire structure stands on a white marble platform 18 feet high and 313 feet square, with tapering cylindrical minarets 133 feet high at the corners."—(Charles Leonard-Stuart, 1911)

Taj Mahal

"The Taj Mahal, or Mehal, ('Gem of Buildings'), is a famous mausoleum, erected at Agra, India, by Shah…

Represents the eight directions of location and is found in Turkoman, Chinese, and Caucasian products. It is characteristic of the Turkestan rugs.

Octagon Design

Represents the eight directions of location and is found in Turkoman, Chinese, and Caucasian products.…

Represents the eight directions of location and is found in Turkoman, Chinese, and Caucasian products. It is characteristic of the Turkestan rugs.

Octagon Design

Represents the eight directions of location and is found in Turkoman, Chinese, and Caucasian products.…

Represents the eight directions of location and is found in Turkoman, Chinese, and Caucasian products. It is characteristic of the Turkestan rugs.

Octagon Design

Represents the eight directions of location and is found in Turkoman, Chinese, and Caucasian products.…

An emblem seen the world over in decoration, especially in synagogues. It is common in the Caucasian and Turkoman products, especially in the form of the elongated eight-pointed star. This eight-pointed star in the centre of an octagon is said to have represented the Deity of the ancient Medes. In all probability the six-pointed star was an adaptation of the Shield of David. It is supposed to have been symbolic of divinity. To it may be traced scores of Turkish patterns.

Star Designs

An emblem seen the world over in decoration, especially in synagogues. It is common in the Caucasian…

An emblem seen the world over in decoration, especially in synagogues. It is common in the Caucasian and Turkoman products, especially in the form of the elongated eight-pointed star. This eight-pointed star in the centre of an octagon is said to have represented the Deity of the ancient Medes. In all probability the six-pointed star was an adaptation of the Shield of David. It is supposed to have been symbolic of divinity. To it may be traced scores of Turkish patterns.

Star Designs

An emblem seen the world over in decoration, especially in synagogues. It is common in the Caucasian…

An emblem seen the world over in decoration, especially in synagogues. It is common in the Caucasian and Turkoman products, especially in the form of the elongated eight-pointed star. This eight-pointed star in the centre of an octagon is said to have represented the Deity of the ancient Medes. In all probability the six-pointed star was an adaptation of the Shield of David. It is supposed to have been symbolic of divinity. To it may be traced scores of Turkish patterns.

Star Designs

An emblem seen the world over in decoration, especially in synagogues. It is common in the Caucasian…

"A hive largely and successfully used in Scotland, it is octagonal, and the "Quinby hive" of America is much deeper from back to front than it is wide. The Stewarton is not properly a frame, but a bar-hive, although frames are sometimes fitted to it. It usually consists of three octagon breeding-boxes, 14 inches in diameter by 6 inches deep, each furnished with nine bars placed equidistant, the spaces between being occupied by movable slides of wood working in grooves in the bars." — Encyclopedia Britanica, 1893

Stewarton Hive

"A hive largely and successfully used in Scotland, it is octagonal, and the "Quinby hive" of America…

"A polygon of...eight sides [is] an octagon." —Hallock 1905

Octagon

"A polygon of...eight sides [is] an octagon." —Hallock 1905

Octagon constructed from a square.

Construction of Octagon From Square

Octagon constructed from a square.

Polygon consisting of 8 sides

8-sided Polygon

Polygon consisting of 8 sides

1/8 of a 8 sided polygon

Fractions of 8-sided Polygon

1/8 of a 8 sided polygon

2/8 of a 8 sided polygon

Fractions of 8-sided Polygon

2/8 of a 8 sided polygon

3/8 of a 8 sided polygon

Fractions of 8-sided Polygon

3/8 of a 8 sided polygon

4/8 of a 8 sided polygon

Fractions of 8-sided Polygon

4/8 of a 8 sided polygon

5/8 of a 8 sided polygon

Fractions of 8-sided Polygon

5/8 of a 8 sided polygon

6/8 of a 8 sided polygon

Fractions of 8-sided Polygon

6/8 of a 8 sided polygon

7/8 of a 8 sided polygon

Fractions of 8-sided Polygon

7/8 of a 8 sided polygon

8/8 of a 8 sided polygon

Fractions of 8-sided Polygon

8/8 of a 8 sided polygon

Illustration of an octagon with symmetry with respect to two axes perpendicular to each other. It is symmetrical with respect to their intersection as a center.

Octagon with Symmetry

Illustration of an octagon with symmetry with respect to two axes perpendicular to each other. It is…

Illustrations of a circle with a circumscribed polygon. Or, a circle inscribed in an octagon.

Circle with Circumscribed Polygon

Illustrations of a circle with a circumscribed polygon. Or, a circle inscribed in an octagon.

Illustration of a circle with a polygon (octagon) and square inscribed.

Circle With Polygon and Square Inscribed

Illustration of a circle with a polygon (octagon) and square inscribed.

A flashcard featuring an illustration of a polygon with eight equal sides

Flashcard of a polygon with eight equal sides

A flashcard featuring an illustration of a polygon with eight equal sides

8/8 of a 8 sided polygon with one piece detached

Fractions of 8-sided Polygon

8/8 of a 8 sided polygon with one piece detached

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Illustration of an irregular concave octagon. This polygon has some symmetry.

Irregular Concave Octagon

Illustration of an irregular concave octagon. This polygon has some symmetry.

Illustration of an irregular convex octagon.

Irregular Convex Octagon

Illustration of an irregular convex octagon.

Illustration of an irregular concave octagon.

Irregular Concave Octagon

Illustration of an irregular concave octagon.

Illustration of crossed polygon. This is not generally considered to be a real polygon.

Crossed Polygon

Illustration of crossed polygon. This is not generally considered to be a real polygon.

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Illustration of an irregular convex octagon. This polygon has some symmetry.

Irregular Convex Octagon

Illustration of an irregular convex octagon. This polygon has some symmetry.

Illustration of an irregular concave octagon. This polygon has some symmetry.

Irregular Concave Octagon

Illustration of an irregular concave octagon. This polygon has some symmetry.

Illustration of an irregular concave octagon. This polygon has some symmetry.

Irregular Concave Octagon

Illustration of an irregular concave octagon. This polygon has some symmetry.

Illustration of a octagonal bifrustum created by three parallel planes of octagons with the middle plane largest. The top and bottom octagons are congruent. It can be constructed from two congruent frustums across a plane of symmetry, or as a bipyramid with truncated vertices.

Octagonal Bifrustum

Illustration of a octagonal bifrustum created by three parallel planes of octagons with the middle plane…

Illustration of a right octagonal pyramid, with hidden edges shown, that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Octagonal Pyramid Cut By Plane

Illustration of a right octagonal pyramid, with hidden edges shown, that has been cut by a plane parallel…

Illustration of a right octagonal pyramid that has been cut by a plane parallel to the base. The lower part is known as the frustum.

Octagonal Pyramid Cut By Plane

Illustration of a right octagonal pyramid that has been cut by a plane parallel to the base. The lower…

Illustration of a hollow octagonal pyramid that has been cut by a plane parallel to the base. The top section has been removed and the remaining section has been turned upside down. It is known as the frustum of the pyramid.

Frustum Of A Octagonal Pyramid

Illustration of a hollow octagonal pyramid that has been cut by a plane parallel to the base. The top…

Illustration of a concave equilateral octagon.

Concave Equilateral Octagon

Illustration of a concave equilateral octagon.

Illustration of a regular octagon circumscribed about a square. This could also be described as a square inscribed in a regular octagon.

Octagon Circumscribed About a Square

Illustration of a regular octagon circumscribed about a square. This could also be described as a square…

Illustration of 2 regular concentric octagons.

2 Concentric Octagons

Illustration of 2 regular concentric octagons.

Illustration of 2 regular concentric octagons.

2 Concentric Octagons

Illustration of 2 regular concentric octagons.

Illustration of 3 regular concentric octagons that are equally spaced.

3 Concentric Octagons

Illustration of 3 regular concentric octagons that are equally spaced.

Illustration of 4 regular concentric octagons that are equally spaced.

4 Concentric Octagons

Illustration of 4 regular concentric octagons that are equally spaced.

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 skewed octagonal prism. The prism is non-right.

Skewed Octagonal Prism

Illustration of a skewed octagonal prism. The prism is non-right.

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 octagonal pyramid with hidden edges shown. The base is an octagon and the faces are isosceles triangles.

Octagonal Pyramid

Illustration of a right octagonal pyramid with hidden edges shown. The base is an octagon and the faces…

Illustration of a hollow right octagonal pyramid. The base is an octagon and the faces are isosceles triangles. The pyramid is inverted, meaning that the vertex is at the bottom and the base is on top.

Inverted Octagonal Pyramid

Illustration of a hollow right octagonal pyramid. The base is an octagon and the faces are isosceles…

Illustration of a regular octagon inscribed in a circle. This can also be described as a circle circumscribed about a regular octagon.

Regular Octagon Inscribed In A Circle

Illustration of a regular octagon inscribed in a circle. This can also be described as a circle circumscribed…

Illustration of a regular octagon circumscribed about a circle. This can also be described as a circle inscribed in a regular octagon.

Regular Octagon Circumscribed About A Circle

Illustration of a regular octagon circumscribed about a circle. This can also be described as a circle…

Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases connected by an alternating band of triangles. The bases in this illustration are octagons.

Octagonal Antiprism

Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases…

Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases connected by an alternating band of triangles. The bases in this illustration are octagons.

Octagonal Antiprism

Illustration of an octagonal antiprism. An antiprism is formed by having two parallel congruent bases…

Illustration of a skewed (non-right) octagonal antiprism. An antiprism is formed by having two parallel congruent bases connected by an alternating band of triangles. The bases in this illustration are octagons.

Skewed Octagonal Antiprism

Illustration of a skewed (non-right) octagonal antiprism. An antiprism is formed by having two parallel…

Salvador Envelope (1 centavo) from 1892

Salvador 1 Centavo Envelope, 1892

Salvador Envelope (1 centavo) from 1892

An illustration showing how to construct an octagon on a given line. "Prolong AB to C. With B as center and AB as radius, draw the circle AFDEC; from B, draw BI at right angles to AB; divide the angles ABC and DBC each into two equal parts; then BD is one side of the octagon. With A and E as centers, draw the arcs HKE and AKI, which determine the points H and I, and thus complete the octagon as shown in the illustration."

Construction Of An Octagon

An illustration showing how to construct an octagon on a given line. "Prolong AB to C. With B as center…