trapezohedron Synonyms
No Synonyms and anytonyms found
trapezohedron Meaning
trapezohedron (n)
a polyhedron whose faces are trapeziums
trapezohedron (n.)
A solid bounded by twenty-four equal and similar trapeziums; a tetragonal trisoctahedron. See the Note under Trisoctahedron.
A tetartohedral solid of the hexagonal system, bounded by six trapezoidal planes. The faces of this form are common on quartz crystals.
trapezohedron Sentence Examples
- The trapezohedron's unique shape consists of two trapezoidal faces and eight triangular faces.
- The mineral garnet often crystallizes in a dodecahedral trapezohedron form.
- The trapezohedron's symmetry group has 24 elements.
- The volume of a trapezohedron can be calculated using the formula V = (1/3) * h * (a1² * a2² + b1² * b2² + c1² * c2²), where h is the height and a1, a2, b1, b2, c1, and c2 are the side lengths of the trapezoidal and triangular faces.
- The rhombic dodecahedron, a type of polyhedron, is a special case of a trapezohedron with congruent trapezoidal faces.
- Trapezohedrons can be used to model molecular structures, such as the shape of an octahedral complex.
- The trapezohedron is one of the five Platonic solids, along with the tetrahedron, cube, octahedron, and dodecahedron.
- The faces of a trapezohedron can be parallelograms, trapezoids, or triangles.
- Trapezohedrons are found in various natural crystals and minerals, such as fluorite, calcite, and diamond.
- The trapezohedron's geometry has been studied and applied in fields such as crystallography, mineralogy, and materials science.
FAQs About the word trapezohedron
a polyhedron whose faces are trapeziumsA solid bounded by twenty-four equal and similar trapeziums; a tetragonal trisoctahedron. See the Note under Trisoctahedr
No synonyms found.
No antonyms found.
The trapezohedron's unique shape consists of two trapezoidal faces and eight triangular faces.
The mineral garnet often crystallizes in a dodecahedral trapezohedron form.
The trapezohedron's symmetry group has 24 elements.
The volume of a trapezohedron can be calculated using the formula V = (1/3) * h * (a1² * a2² + b1² * b2² + c1² * c2²), where h is the height and a1, a2, b1, b2, c1, and c2 are the side lengths of the trapezoidal and triangular faces.
