# Weird transformations WT999999P2

**Geometry**Level 5

There is a weird transformation known as \( WT999999P2 \), also known as **The W9 transformation**. Little is known about it. However, it is known that it is certainly used to transform a square into a smaller square, following few steps and other wierd transformations. Some weird manual indicates the following about the transformation:

**Step 1:**Inscribe a regular octagon in the square, using method**I8-v2**.**Step 2:**Find isosceles triangle by rule**T8**in octagon from step 1**Step 3:**Inscribe a circle in the triangle from step 2**Step 4:**Inscribe a square in the circle from step 3.The initial square is transformed into the square from step 4

Luckily, some images explains what method **I8-v2** and rule **T8** should be. The pictures are provided from the manual (just click on the name of method/rule).

And now, the questions will be asked. If we have a square whose side length is \( 10^5 \), after applying transformation three times, what will be the new side length. If that new length is \( L \), answer shall be entered as \( \left\lfloor L \right\rfloor \).

*If you just grasped: "Oh dear"*

*Because within you, lies a fear,*

*That something is left unclear,*

*It can be asked right over here.*