I was particularly fascinated by how the 10 pins were placed at the start of each frame, neatly arranged in an equilateral triangle with rows of one, two, three and four pins. Ten is called a ...

We start with an equilateral triangle. We subdivide it into four smaller equilateral triangles and remove the central one. Then we repeat step 2 with each of the remaining smaller triangles, and ...

The equilateral triangle is a pattern of indecision. The market is almost equally balanced between bears and bulls. The bearish pressure is shown by the downtrend line.

Different triangles give different sets of circles. An equilateral triangle produces one of the observed crop-circle patterns; three isosceles triangles generate the other crop-circle geometries ...

Rows zero through five of Pascal’s triangle. The pattern continues on into infinity. Two of the sides are filled with 1's and all the other numbers are generated by adding the two numbers above.

To see this in the equilateral-triangle tiling, ... This is a kind of self-similarity — a pattern that repeats at changing scales — which can sometimes be used to show that a particular tiling can’t ...

Dudeney's original solution for transforming an equilateral triangle into a perfect square through dissection involves only four pieces, a solution that has now been proved to be the optimal solution.

Two star patterns that can be found crossing the meridian soon after darkness falls on these late spring ... nearly perfect equilateral triangle the star Denebola in the tail of Leo, the ...

The pursuit-curve pattern for an equilateral triangle. Courtesy of John Sharp. Point P is a Brocard point if angle PAB = angle PBC = angle PCA.

Now, were we to add the second-magnitude star Denebola, from nearby Leo the Lion, we can then trace out a large, nearly perfect equilateral triangle.George Lovi (1939-1993), who for many years ...