If each edge has the same length and each face is an equilateral triangle, the result is a regular tetrahedron - one of the Platonic solids.
An equilateral triangle of side length one is called a unit triangle.
The Von Koch snowflake is a fractal which is constructed from an equilateral triangle as follows.
Any given triangle, either imagined or on paper, must either be acute, right, or obtuse, and either scalene, isosceles, or equilateral , and so any given triangle cannot represent all triangles.
In 1772, J.L. Lagrange identified a periodic orbit in which three masses are at the corners of an equilateral triangle.
For a given individual, the values of the three coefficients in the ancestry vector q are given by the distances to each of the three sides of the equilateral triangle.
One way to draw a Reuleaux triangle is to start with an equilateral triangle, which has three sides of equal length.
The vibration exciter and geophone were placed near the burrow with burrow opening, exciter and geophone occupying the three corners of an equilateral triangle having sides one meter in length.
Then divide it into three equal pieces, and replace the middle piece with the other two sides of the equilateral triangle that has this middle piece as its base.
Naturally, the axes form equilateral triangles - 27 of them.