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A number of attractive cube 10-compounds can be constructed. The first can be obtained by beginning with an initial cube and rotating it by an angle theta=sin^(-1)(sqrt(3/8)) ...

There are a number of attractive compounds of two regular tetrahedra. The most symmetrical is the arrangement whose outer hull is the stella octangula (left figure), while ...

The triangular orthobicupola is Johnson solid J_(27), consisting of eight equilateral triangles and six squares. If a triangular orthobicupola is oriented with triangles on ...

A symbol consisting of three rational numbers that can be used to describe uniform polyhedra based on how a point C in a spherical triangle can be selected so as to trace the ...

The geometry of Finsler space.

A right-angled parallelepiped with dimensions a×ab×abc, where a, b, and c are integers.

Related to one another by a homomorphism.

A geometric figure which touches only the sides (or interior) of another figure.

A line segment on the boundary of a face, also called a side.

A point at which two polygon edges of a polygon meet.