Knights of Uqbar, Part 2
Suppose now that seven knights are to join in battle. Where can the knights stand so that each knight is just barely within sword's reach of at least three other knights? What Geogebra tools can help? Remember, the knights don't want to be easy targets for each other; they want to stand as far away as possible while still being within range. Once you've found a layout that works, draw segments to connect all the knights. What shape do you see? You may use only the following tools: New Point, Intersect Two Objects, Segment between Two Points, Line through Two Points, Circle with Center through Point, Compass.
The sword pictures are based on https://en.wikipedia.org/wiki/File:DavidI%26squire.jpg