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Sphereland Name______________________________________ Part III – Curved Worlds Date________________________Period_________ 1. What was the purpose of the Trigonometric Service? Institute established for the purpose of mapping the world accurately by means of trigonometry. 2. What happened that caused Mr. Puncto to lose his job as director of the Trigonometric Service? While measuring triangles in a net, the angles in one triangle added to more that 180°. One who dares to consider such results is not fit for the position. 3. What were some reasons that the deviations were not found sooner? Pg 133 – 134 . Improved instruments . Errors were seen as observational errors . Old way – net of small triangles 4. Mr. Puncto determined that the discrepancy from 180 increased with __the increase in size of the triangles___. 5. What did Hexagon’s grandson suggest that would explain Mr. Puncto’s data? A triangle whose sides are curved 6. Who was Ergo and how did he respond to Mr. Puncto? Professor of mathematics - would not accept explanation that refuted science facts (180°) Up to investigators to find error 7. Who was Professor Supposo and how did he respond to Mr. Puncto? Professor of physics - principles of math were being attacked Considered peculiar triangle and explained why it wouldn’t work 8. What argument did Professor Supposo give that caused him to reject Hexagon’s explanation for the unusual triangle? Pg 145 If side curve out in one triangle, then they curve in in another. 9. While contemplating his dilemma, Hexagaon sees Lineland as _____Circleland__________. Pg 148 10. Which direction did Hexagon believe that the sides of the triangle were curved? in a third direction invisible to him 11. Sphere told Hexagon and Mr. Puncto that Flatland was actually a _spherical surface______. Pg 156 12. What was Sphere’s advice? Pg 160 Not to make everything they knew public because it would not be accepted. 13. How did Hexagon’s grandson line up his toy soldiers and why did he say that he moved them one at a time? Pg 164 Marching in a circle They don’t hear all at the same time - commander’s voice moves past the row of soldiers 14. Where does Hexagon visit in his dream. Pg 167 Flatland 15. What does he notice about the world that he is seeing? Pg 168 It is curved and it is not infinite. 16. What did he observe about light rays? Pg 169 They cannot leave their space so they follow the curve of that space. 17. What did Hexagon do that made Sphere angry? Hexagon said that Sphere must realize that his 3-D space is curved in a direction invisible to him and that light rays were not straight in Spaceland either. Hexagon said that if Sphere did not realize that then Hexagon was much wiser than Sphere. .

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Flatterland: the Play Based on Flatterland: Like Flatland Only More So
Claremont Colleges Scholarship @ Claremont HMC Senior Theses HMC Student Scholarship 2012 Flatterland: The lP ay Kym Louie Harvey Mudd College Recommended Citation Louie, Kym, "Flatterland: The lP ay" (2012). HMC Senior Theses. 27. https://scholarship.claremont.edu/hmc_theses/27 This Open Access Senior Thesis is brought to you for free and open access by the HMC Student Scholarship at Scholarship @ Claremont. It has been accepted for inclusion in HMC Senior Theses by an authorized administrator of Scholarship @ Claremont. For more information, please contact [email protected]. Flatterland: The Play based on Flatterland: Like Flatland Only More So by Ian Stewart Kym Louie Arthur Benjamin, Advisor Art Horowitz, Advisor Thomas Leabhart, Reader May, 2012 Department of Mathematics Copyright c 2012 Kym Louie. The author grants Harvey Mudd College and the Claremont Colleges Library the nonexclusive right to make this work available for noncommercial, educational purposes, provided that this copyright statement appears on the reproduced ma- terials and notice is given that the copying is by permission of the author. To dis- seminate otherwise or to republish requires written permission from the author. Abstract This script is an adaptation of the popular science novel Flatterland: Like Flatland, Only More So by Ian Stewart. It breathes new life into mathemat- ical ideas and topics. By bringing math to the stage, this script presents concepts in a more friendly and accessible manner. This play is intended to generate new interest in and expose new topics to an audience of non- mathematicians. Preface I was ﬁrst introduced to Flatterland by Sue Buckwalter while I was at Phillips Academy.
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A Non-Linear Take on the Flatland and Sphereland Films
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Sphereland Name______Part III – Curved Worlds Date______Period______

Sphereland NamePart III – Curved Worlds DatePeriod__