Sphereland Part 4

What did Hexagon do with the amazing revelation about his world?

He wrote a book and left the manuscript sealed with the city librarian. He put a label on it saying to open when the theory of the expanding universe is accepted.

11. What are the four stages in the search for the solution to a mathematical problem

1) observing 2) checking 3) concluding 4) sharing

What kind of discrepancies did Mr. Puncto find this time

After time all distances increased, some more than others.

10. What new job did Mr. Puncto get

Agent for the internal revenue service

What change did Hexagon make to the fairy tale "Sleeping Beauty

The forest became penetrable between since the world was expanding. The distance between the trees increased.

What conclusions did they arrive at?

The radar method coincided with the trig and showed that the worlds were moving further away and at different speeds Speed of withdrawal increased with the distance

What did Mr. Puncto and Hexagon observe on their way home that made them understand what was happening to their world

They saw a circular object being filled with gas. As the object expanded, the inscribed letters got larger and the distances between them increased. If you look at them from the top, the close letters appear to move away slower.

What different method of measuring did Mr. Puncto and Hexagon use to verify the discrepancies?

Used radar beams that would "bounce" off an object and then measured the distance by using the time it took the radar signal to go and come back

Mr. Puncto convinced the government to build

second space station

Mr. Puncto got a new job measuring

the distances of the various worlds (charting the space).

After visiting the Space Station, Hexagon noted that because of the great distances to the other worlds the only reliable way to obtain dependable results would be by means of

trig