they visit the Gniarfs-Dreamers who can project a person's mind into the mind of their choice. Laureline pays them a visit and they hook her up to one of her machines. Soon she has made contact with Valerian's mind. Still on the alien spacecraft, Valérian has managed to free himself from his sphere and then frees the Ambassador. The ship is deserted apart from the two of them. The Ambassador is anxious to get back to Point Central to deliver his speech – there are ten thousand Earth warships waiting to surround Point Central at his order to enforce the proposed federation. The spacecraft lands on an island in the middle of an ocean. They are greeted by what appear to be primitive humanoids. They explain that they built the first segment of Point Central but have since evolved and have lost interest in taking part in galactic politics. They have even forgotten their own name and the name of their planet and know themselves only as Shadows. They tell the Ambassador that they will not allow any one race to exert full control over Point Central and that they have the power to annihilate Earth's fleet if needed. The children of the island take Valérian and the Ambassador to the House of Wisdom. Suddenly the dream is interrupted. Laureline moves on, taking Diol and the Grumpy, who by now is almost burnt-out from the effort of having to transmute so many things, and makes for the Shadows' segment which must be located in the blank section of the map she bought from the Shingouz. On the way, Laureline is surprised to see the Zools congregating for some gathering. Finally finding the entrance she arrives at the Island of the Shadows. Reaching the House of Wisdom, she finds Valérian and the Ambassador. The Ambassador is a changed man from his experience with the Shadows and now proposes to deliver a message of peace to the council. Heading back, there are now more and more Zools gathering in the passageways. Reaching the Hall of Screens, the Ambassador enters to make his speech. Laureline is approached by one of the Shingouz. With the Grumpy dying, she has no more money but convinces the Shingouz to give up his information anyway. The Zools, fed up with corruption on Point Central, have decided to clean up matters, restore the moral code of the council