Equilateral Spiral with Ray
Sequence of equilateral triangles with midpoint ray
Interesting pattern for side lengths:
1,1,1,2,2,3,4,5,7,9,12,16,21,28,37,49,65,86,114,151,200 . . .
As the triangles grow in size, the ratio of successive side lengths
approaches 1.3245, and is reminiscent of the behavior of the ratio
of successive terms of the Fibonacci sequence, phi (approx. 1.618).
The angle made by the Midpoint Spiral Ray and the triangle sides
may tend toward some fixed value (≈25°) also as the side lengths grow.
-inspired by http://easymatica.blogspot.com/2014/03/espiral-triangular.html

1- What does the angle made by the Midpoint Spiral Ray and the triangle sides
tend toward as the side lengths grow?
2- Can the side lengths of the pattern be predicted?