Mathematicians struggled to find the fewest number of pieces needed to cut an equilateral triangle and rearrange it into a ...

Now, more than 122 years after it was first proposed, Kamata and two other mathematicians have finally proved that a solution with fewer pieces is impossible. Their result was posted to the server ...

In 3D graphics rendering, computing the rate of change of RGB color values between the points of each triangle (vertices) so that the triangles can be filled with color properly in the ...

In this method, the set of cut pieces used in the dissection is reduced to a graph structure that captures the relationship between the edges and vertices of the pieces, forming both the triangle ...

The other four faces are all triangles. The shapes with 8 vertices are the cube and the cuboid. The cube has 6 faces all the same, but the cuboid has different faces.

6 × 2 = 12. A hexagonal prism has 12 vertices. A pyramid has one more face than the number of sides of its base. A triangle-based pyramid has four faces. A square-based pyramid has five faces.