This form shows the cube (h), the dodecahedron (d), the tetrahexahedron (f), and the icositetrahedron (l).

Amalgam

This form shows the cube (h), the dodecahedron (d), the tetrahexahedron (f), and the icositetrahedron…

The combination of icositetrahedron and rhombic dodecahedron.

Combination of Icositetrahedron and Rhombic Dodecahedron

The combination of icositetrahedron and rhombic dodecahedron.

The combination of an icositetrahedron and a cube.

Combination of Icositetrahedron and Cube

The combination of an icositetrahedron and a cube.

The combination of an icositetrahedron and an octahedron.

Combination of Icosietetrahedron and Octahedron

The combination of an icositetrahedron and an octahedron.

Crystal; This form is a combination of an icositetrahedron and a rhombic dodecahedron, where the faces of the icositetrahedron replace the trihedral angles of the dodecahedron. The parameters, m, of the icositetrahedron  are less then two.

Dodecahedron

Crystal; This form is a combination of an icositetrahedron and a rhombic dodecahedron, where the faces…

Crystal; This form is a combination of an icositetrahedron and a rhombic dodecahedron, where the faces of the icositetrahedron replace the trihedral angles of the dodecahedron. The parameters, m, of the icositetrahedron  are less then two.

Dodecahedron

Crystal; This form is a combination of an icositetrahedron and a rhombic dodecahedron, where the faces…

"Bounded by twenty-four trapezoidal faces, and hence somethings called a 'trapezohedron.'" -The Encyclopedia Britannica 1910

Icositetrahedron

"Bounded by twenty-four trapezoidal faces, and hence somethings called a 'trapezohedron.'" -The Encyclopedia…

Crystal; If the alternate planes of the hexoctahedron extend until the intersect, a new for will result. This form, the Pentagonal Icositetrahedron, is bounded by twenty-four similar but unsymmetrical sides. Naumann's symbol for this form is (m0n/2)r, y{lkh}; Miller's is (m0n/2)l, y{klh}; h>k>l. This form is known as 'left-handed' because it contains the left, top plane of the front, upper octant.

Lef-Handed Pentagonal Icositetrahedron

Crystal; If the alternate planes of the hexoctahedron extend until the intersect, a new for will result.…

"This is the only simple form in this class which differs geometricalled from those of the holosymmetric class...These are each bounded by twenty-four irregular pentagons, and althrough similar to each other they are respectively right- and left-handed..." -The Encyclopedia Britannica 1910

Pentagonal Icositetrahedron

"This is the only simple form in this class which differs geometricalled from those of the holosymmetric…

Crystal; If the alternate planes of the hexoctahedron extend until the intersect, a new for will result. This form, the Pentagonal Icositetrahedron, is bounded by twenty-four similar but unsymmetrical sides. Naumann's symbol for this form is (m0n/2)r, y{lkh}; Miller's is (m0n/2)l, y{klh}; h>k>l. This form is known as 'right-handed' because it contains the right, top plane of the front, upper octant.

Right-Handed Pentagonal Icositetrahedron

Crystal; If the alternate planes of the hexoctahedron extend until the intersect, a new for will result.…