# Keyword Analysis & Research: tetrahedrons and spheres

## Frequently Asked Questions

How do you make a tetrahedron?

Using the plane described precisely above as plane #1, the A plane, place a sphere on top of this plane so that it lies touching three spheres in the A-plane. The three spheres are all already touching each other, forming an equilateral triangle, and since they all touch the new sphere, the four centers form a regular tetrahedron.

Why are the sides of a tetrahedron equal to 2 R?

The three spheres are all already touching each other, forming an equilateral triangle, and since they all touch the new sphere, the four centers form a regular tetrahedron. [7] All of the sides are equal to 2 r because all of the sides are formed by two spheres touching.

How many spheres are in a tetrahedral shape?

For every sphere there is one gap surrounded by six spheres (octahedral) and two smaller gaps surrounded by four spheres (tetrahedral). The distances to the centers of these gaps from the centers of the surrounding spheres is √​3⁄2 for the tetrahedral, and √2 for the octahedral, when the sphere radius is 1.

What is the circumcenter of a tetrahedron?

A tetrahedron is defined by the six edge lengths , , , , , . The inscribed and circumscribed spheres of the tetrahedron are constructed. The incenter is shown as a blue dot, and the circumcenter is a red dot.