A golden triangle is an isosceles triangle where
the ratio of the length of one of the equal sides to the base of the triangle is
the golden ratio. The three angle of a golden triangle are 36, 72 and 72
degrees. In terms of radians, these are
p/5, 2p/5, and 2p/5.
The triangles formed on the 5 tips of a
pentagram are golden triangles. A regular decagon can be subdivided into
10 equal golden triangles with one vertices of each triangle at the center of
Golden triangles can be dissected into
smaller triangles that are in the form of golden gnomons and golden triangles.
It can be shown that successive points dividing a golden triangle into golden
gnomons and triangles lie on a logarithmic spiral
More Mathematical Recreations