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Illustration of a conical bifrustum created by three parallel planes of circles with the middle plane largest. The top and bottom circles are congruent. It is constructed from two congruent frustums across a plane of symmetry.

Conical Bifrustum

Illustration of a conical bifrustum created by three parallel planes of circles with the middle plane…

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

Decagonal Bifrustum

Illustration of a decagonal bifrustum created by three parallel planes of decagons with the middle plane…

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

Hexagonal Bifrustum

Illustration of a hexagonal bifrustum created by three parallel planes of hexagons with the middle plane…

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

Square Bifrustum

Illustration of a square bifrustum created by three parallel planes of squares with the middle plane…

Illustration of a decagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are decagons.

Decagonal Bipyramid

Illustration of a decagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent…

Illustration of a decagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are decagons.

Decagonal Bipyramid

Illustration of a decagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed…

Illustration of a hexagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are hexagons.

Hexagonal Bipyramid

Illustration of a hexagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed…

Illustration of a hexagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are hexagons.

Hexagonal Bipyramid

Illustration of a hexagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent…

Illustration of a nonagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are nonagons.

Nonagonal Bipyramid

Illustration of a nonagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed…

Illustration of a nonagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are nonagons.

Nonagonal Bipyramid

Illustration of a nonagonal bipyramid with hidden edges shown. A bipyramid, or dipyramid, is formed…

Illustration of a pentagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are pentagons.

Pentagonal Bipyramid

Illustration of a pentagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent…

Illustration of a pentagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are pentagons.

Pentagonal Bipyramid

Illustration of a pentagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent…

Illustration of a rectangular bipyramid viewed at an angle. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases.

Rectangular Bipyramid

Illustration of a rectangular bipyramid viewed at an angle. A bipyramid, or dipyramid, is formed by…

Illustration of a rectangular bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases.

Rectangular Bipyramid

Illustration of a rectangular bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent…

Illustration of a rectangular bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases.

Rectangular Bipyramid

Illustration of a rectangular bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent…

Illustration of a septagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent pyramids at their bases. The bases in this illustration are heptagons/septagons.

Septagonal/Heptagonal Bipyramid

Illustration of a septagonal bipyramid. A bipyramid, or dipyramid, is formed by joining two congruent…

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid by inserting a decagonal prism between the two congruent halves.

Elongated Decagonal Dipyramid

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid…

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid by inserting a decagonal prism between the two congruent halves.

Elongated Decagonal Dipyramid

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid…

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid by inserting a decagonal prism between the two congruent halves.

Elongated Decagonal Dipyramid

Illustration of an elongated decagonal dipyramid that is formed by elongating a decagonal bipyramid…

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal bipyramid by inserting a heptagonal prism between the two congruent halves.

Elongated Heptagonal/Septagonal Dipyramid

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal…

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal bipyramid by inserting a heptagonal prism between the two congruent halves.

Elongated Heptagonal/Septagonal Dipyramid

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal…

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal bipyramid by inserting a heptagonal prism between the two congruent halves.

Elongated Heptagonal/Septagonal Dipyramid

Illustration of an elongated heptagonal/septagonal dipyramid that is formed by elongating a heptagonal…

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid by inserting a hexagonal prism between the two congruent halves.

Elongated Hexagonal Dipyramid

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid…

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid by inserting a hexagonal prism between the two congruent halves.

Elongated Hexagonal Dipyramid

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid…

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid by inserting a hexagonal prism between the two congruent halves.

Elongated Hexagonal Dipyramid

Illustration of an elongated hexagonal dipyramid that is formed by elongating a hexagonal bipyramid…

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid by inserting a nonagonal prism between the two congruent halves.

Elongated Nonagonal Dipyramid

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid…

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid by inserting a nonagonal prism between the two congruent halves.

Elongated Nonagonal Dipyramid

Illustration of an elongated nonagonal dipyramid that is formed by elongating a nonagonal bipyramid…

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting a square prism between the two congruent halves.

Elongated Square Dipyramid

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting…

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting a square prism between the two congruent halves. The elongated dipyramid pictured here is tilted, or rotated, approximately 45°.

Elongated Square Dipyramid

Illustration of an elongated square dipyramid that is formed by elongating a square bipyramid by inserting…

A tetragonal bipyramidal crystal where the vertical axis is shorter than the horizontal axes.

Tetragonal Bipyramids

A tetragonal bipyramidal crystal where the vertical axis is shorter than the horizontal axes.

A tetragonal bipyramidal crystal where the vertical axis is longer than the horizontal axes.

Tetragonal Bipyramids

A tetragonal bipyramidal crystal where the vertical axis is longer than the horizontal axes.

Represents the relation between the tetragonal bipyramid of the first order when the indices are {111}.

Tetragonal Bipyramids of the First Order

Represents the relation between the tetragonal bipyramid of the first order when the indices are {111}.

Represents the relation between the tetragonal bipyramid of the first order when the indices are {111}.

Tetragonal Bipyramids of the Second Order

Represents the relation between the tetragonal bipyramid of the first order when the indices are {111}.