In mathematics, the T-square is a two-dimensional fractal. It has a boundary of infinite length bounding a finite area. Its name comes from the drawing instrument known as a T-square.
T-square, evolution in six steps.
Algorithmic description
thumb|256px|T-square of order 8
It can be generated from using this algorithm:
- Draw a black square.
- For each convex corner in the image, draw another square, centered at that corner, with half the side length of the squares drawn in the previous step.
- Repeat step 2.
thumb|[[Golden ratio|Golden squares with T-branching]]
The method of creation is rather similar to the ones used to create a Koch snowflake or a Sierpinski triangle, "both based on recursively drawing equilateral triangles and the Sierpinski carpet."