disphenoid वाक्य
उदाहरण वाक्य
मोबाइल
- Each vertex is surrounded by 4 truncated tetrahedral cells in a tetragonal disphenoid vertex figure.
- For example, the tiling in the 3D case of the function is an orientation of the tetragonal disphenoid honeycomb.
- The snub disphenoid can also constructed from the square antiprism by replacing the two square faces by pairs of equilateral triangles.
- Although a regular tetrahedron can not tessellate space alone, this dual has identical disphenoid tetrahedron cells with isosceles triangle faces.
- We also have that a tetrahedron is a disphenoid if and only if the center in the circumscribed sphere and the inscribed sphere coincide.
- The other three polyhedra with this property are the pentagonal dipyramid, the snub disphenoid, and an irregular polyhedron with 12 vertices and 20 triangular faces.
- Because this construction involves the solution to a cubic equation, the snub disphenoid cannot be constructed with a compass and straightedge, unlike the other seven deltahedra.
- The snub disphenoid ( " J " 84 ) is another deltahedron, constructed by replacing the two squares of a square antiprism by pairs of equilateral triangles.
- Spheres centered at the vertices of the snub disphenoid form a cluster that, according to numerical experiments, has the minimum possible Lennard-Jones potential among all eight-sphere clusters.
- The term "'dodecadeltahedron "'is sometimes used to distinguish the bipyramid from the Platonic solid, although in chemistry this term more often refers to the snub disphenoid.
- Where " V " is the volume of the disphenoid and " T " is the area of any face, which is given by Heron's formula.
- John Horton Conway calls this honeycomb a "'truncated octahedrille "'in his Architectonic and catoptric tessellation list, with its dual called an " oblate tetrahedrille ", also called a disphenoid tetrahedral honeycomb.
- This definition is used in the naming two Johnson solids : snub disphenoid, and snub square antiprism, as well as higher dimensional polytopes such as the 4-dimensional snub 24-cell, or s { 3, 4, 3 }.
- There are no well-covered 5-connected maximal planar graphs, and there are only four 4-connected well-covered maximal planar graphs : the graphs of the regular octahedron, the pentagonal dipyramid, the snub disphenoid, and an irregular polyhedron ( a nonconvex deltahedron ) with 12 vertices, 30 edges, and 20 triangular faces.
- An orientation of the tetragonal disphenoid honeycomb can be obtained by starting with a cubic honeycomb, subdividing it at the planes x = y, x = z, and y = z ( i . e . subdividing each cube into path-tetrahedra ), then squashing it along the main diagonal until the distance between the points ( 0, 0, 0 ) and ( 1, 1, 1 ) becomes the same as the distance between the points ( 0, 0, 0 ) and ( 0, 0, 1 ).
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