The first one tells of King Kalidasa, living thousands of years before Morgan is born, who is constructing a 'pleasure garden' complete with functioning fountains, in a significant engineering effort for the time.
The other story, taking place long after Morgan has died, deals with aliens making contact with Earth.
However, there is a Buddhist temple on the island, and Mahanayake Thero, the head of the order, refuses to give permission to begin construction.
Hearing of the difficulties, a group of people living on Mars contacts Morgan and suggests that the tower be built there instead.
Although the engineer's heart is failing, he rides up the tower to take food and oxygen to a group of stranded students and their professor.
Clarke envisions a microscopically thin (in his demonstrator sample) but strong "hyperfilament" that makes the elevator possible.