Euclidea 2.8 Link

In Euclidean geometry, solving problems often involves constructing specific points, lines, or shapes using only a compass and straightedge. The user is asking about (the puzzle game) Level 2.8. In the standard numbering of the Euclidea app:

Let's look at the for Euclidea 2.8 "Angle of 45°": Goal : Construct point $B$ such that $\angle AOB = 45^\circ$. euclidea 2.8

The goal of level 2.8 is to construct a $45^\circ$ angle given a base ray (a line segment with an endpoint), using a strictly limited number of moves. Specifically, you are usually given a point $O$ and a point $A$, defining the ray $OA$. You must construct a point $B$ such that $\angle AOB = 45^\circ$. The goal of level 2

One of the defining features of the 2.8 update is its focus on optimization. In Euclidea, completing a construction is only the first step. To truly master a level, players must achieve the "L" and "E" goals. The "L" goal tracks the number of lines and circles used, while the "E" goal monitors the number of "elementary" steps. This dual scoring system encourages players to find the most elegant solution possible, often requiring them to think several steps ahead to bypass redundant moves. One of the defining features of the 2

Construct a $45^\circ$ angle. : V-star (Victory star) usually implies a move count, often 3 moves (3L) in this level. Tools : Straightedge (Line tool) and Compass (Circle tool).