IOM 2021, Блиц — Задача 73

The Blitz-contest of IOM-2021

Условие

Start with a segment 16 cm in length. At each end draw a segment half as long, perpendicular to the original segment and intersecting at the new segment’s midpoint. If this process is continued infinitely, a fractal is created. Counting the original segment as stage 1, what is the total length of all segments after stage 6 is completed?

Stage 3 of the fractal: a horizontal segment with a vertical segment at each end, centred on it (an H shape), and at each of the four ends of the vertical segments a shorter horizontal segment centred on it.
Stage 3:

Отговори

Решение

Оригинал в Архива: iom-2021-blitz-tasks-eng.pdf · официални решения: iom-2021-blitz-answers-eng.pdf