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"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…

A scalene triangle is one having no two of its sides equal.

Scalene

A scalene triangle is one having no two of its sides equal.

A right-angled triangle is any triangle having one right angle. The side opposite the right angle is called the hypotenuse. A right-angled riangle may be isosceles or scalene.

Right-Angled

A right-angled triangle is any triangle having one right angle. The side opposite the right angle is…

Method to construct a scalene triangle

Construct Scalene Triangle

Method to construct a scalene triangle

"Here each face of the octahedron is replaced by six scalene triangles, so that altogether there are fourty-eight faces. This is the greatest number of faces possible for an simple form in crystals." -The Encyclopedia Britannica 1910

Hexakis-octahedron

"Here each face of the octahedron is replaced by six scalene triangles, so that altogether there are…

"The hemihedral form {hkl} of the hexakis-octahedron; it is bounded by twenty-four scalene triangles and is the general form of the class." -The Encyclopedia Britannica 1910

Hexakis-tetrahedron

"The hemihedral form {hkl} of the hexakis-octahedron; it is bounded by twenty-four scalene triangles…

"This is the general form; it is bounded by sixteen scalene triangles, and all the indices are unequal." -The Encyclopedia Britannica 1910

Ditetragonal Bipyramid

"This is the general form; it is bounded by sixteen scalene triangles, and all the indices are unequal."…

"This is bounded by eight scalene triangesl and has the indices{hkl}. It may be considered as the hemihedral form of the ditetragonal bipyramid." -The Encyclopedia Britannica 1910

Tetragonal Scalenohedron

"This is bounded by eight scalene triangesl and has the indices{hkl}. It may be considered as the hemihedral…

"This is the general form and is bounded by eight scalene triangles." -The Encyclopedia Britannica 1910

Orthorhombic Bipyramids

"This is the general form and is bounded by eight scalene triangles." -The Encyclopedia Britannica 1910

"This is the general form and is bounded by eight scalene triangles." -The Encyclopedia Britannica 1910

Orthorhombic Bipyramids

"This is the general form and is bounded by eight scalene triangles." -The Encyclopedia Britannica 1910

"general form...bounded by four scalene triangles." -The Encyclopedia Britannica 1910

Orthorhombic Bisphenoid

"general form...bounded by four scalene triangles." -The Encyclopedia Britannica 1910

"...bounded by twelve scalene triangles, and with the general indices {hkl}." -The Encyclopedia Britannica 1910

Scalenohedron

"...bounded by twelve scalene triangles, and with the general indices {hkl}." -The Encyclopedia Britannica…

"...bounded by twenty-four scalene triangles...This form may be considered as a combination of two scalenohedra, a direct and an inverse." -The Encyclopedia Britannica 1910

Dihexagonal Bipyramid

"...bounded by twenty-four scalene triangles...This form may be considered as a combination of two scalenohedra,…

Illustration showing a scalene triangle (one that has no two sides equal).

Scalene Triangle

Illustration showing a scalene triangle (one that has no two sides equal).

A flashcard featuring an illustration of a Scalene Triangle

Flashcard of a Scalene Triangle

A flashcard featuring an illustration of a Scalene Triangle

This form is bounded by forty-eight similar scalene triangles. Its solid angles are of three kinds: six octahedral, at the extremities of the principal axes; eight hexahedral, at the extremities of the trigonal axes; and twelve tetrahedral, at the extremities of the digonal axes. Naumann's symbol for this form is m 0 n; Dana's, m-n.

Hexoctahedron

This form is bounded by forty-eight similar scalene triangles. Its solid angles are of three kinds:…

A scalene triangle.

Scalene Triangle

A scalene triangle.