Infinite Quarter Series

The infinite quarter series is a series where each term is a quarter of the previous one:
infinite-quarter-series

We can visually represent this series by dividing a canvas (or price of paper) into 4 quadrants and colouring in one quadrant (bottom left). Then we repeat this process by dividing the top right quadrant into 4 and so on.

infinite-quarter-series-visual-representation-square

By doing so infinitely we will colour in a third of the initial canvas. This is because this infinite series converges to the value of 1/3.

Visual Demosntration using Python Turtle


Your Challenge


It is possible to visually represent this series using a triangle instead of a square.
Your task is to adapt the above Python script to represent this series using a triangle.
infinite-quarter-series-using-triangles

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