calculus and analytic geometry 2sjg/class/1010/wc/geom/clicker2duniv.pdfa)spherical geometry...
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Clicker Question1. In a wraparound universe, we can head off straight toeventually come back around. Which are wraparound?a) spherical geometryb) Euclidean geometryc) a Klein bottled) all of the abovee) exactly two of a), b), c)
Klein bottle tic-tac-toe: Where should o go next on the main board?
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Clicker Question1. In a wraparound universe, we can head off straight toeventually come back around. Which are wraparound?a) spherical geometryb) Euclidean geometryc) a Klein bottled) all of the abovee) exactly two of a), b), c)
Klein bottle tic-tac-toe: Where should o go next on the main board?
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Klein bottle tic-tac-toe: Where should o go next on the main board?
bottom middle to block x
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Klein bottle tic-tac-toe: Where should o go next on the main board?
bottom middle to block x
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Klein bottle tic-tac-toe: Where should o go next on the main board?
also bottom left to block x, so o has no chance of winningDr. Sarah Math 1120: Calculus and Analytic Geometry II
Klein bottle tic-tac-toe: Where should o go next?
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Klein bottle tic-tac-toe: Where should o go next?
o has no chance of winning
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Clicker Question2. What are real-life applications of hyperbolic geometry?a) modeling the internet to reduce the load on routersb) modeling the folds of the brain and Mercury’s orbitc) building crystal structures to store more hydrogen or absorb
more toxic metalsd) more than one of the abovee) none of the above
Latvian/US mathematician Daina Taimina CrochetingAdventures with Hyperbolic Planes
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Clicker Question3. How many dimensions does lineland have in Flatland theMovie?
a) one and I have a good reason whyb) one but I am unsure of whyc) two but I am unsure of whyd) two and I have a good reason whye) other
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Clicker Question4. Which of the following could Arthur Square see at somepoint in time if a donut is dunked with the hole facing him?Hint: What are cross sections? What would Arthur square see?
a)
b)c) bothd) neither
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Clicker Question4. Which of the following could Arthur Square see at somepoint in time if a donut is dunked with the hole facing him?Hint: What are cross sections? What would Arthur square see?
a)
b)c) bothd) neither
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
Clicker Question5. Which of the following arose to demonstrate thePythagorean theorem based on the picture in the Zhou Bi SuanJing or Chou Pei Suan Ching?
a) large square has area c2
b) large square also has area (a − b)2 + 4(ab2 )
c) bothd) neither
Dr. Sarah Math 1120: Calculus and Analytic Geometry II
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