10 déc 2016 · I said the Euler characteristic is the same for homeomorphic surfaces Remove a little circle by choosing any vertex, drawing a loop around it,
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[PDF] SALT LAKE MATH CIRCLE, April 2002 ThE EulER ChaRactERistic
SALT LAKE MATH CIRCLE, April 2002 ThE EulER ChaRactERistic PaRt I Thomas Pietraho, University of Utah 1 Background Recall our definition of a
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In topology and graph theory, a graph is a collection of points (called vertices) and lines connecting these points (called edges) The Euler characteristic (χ) = # of vertices - # of edges + # of regions Calculate the value of χ for each of the graphs below
[PDF] The Game of Criss-Cross (Euler Characteristic) From: Circle in a Box
(Euler Characteristic) From: Circle in a Box by Sam Vandervelde (MSRI Mathematical Circles Library) The game of Criss-Cross is played on a blank sheet of
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Geometry Junkyard's 20 proofs of Euler's Theorem • Circle in a Box by Sam Vandervelde, Chapter 5 Supplies: • Snap together polygons • Soccer ball • Zome
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10 déc 2016 · I said the Euler characteristic is the same for homeomorphic surfaces Remove a little circle by choosing any vertex, drawing a loop around it,
[PDF] AN INTRODUCTION TO THE EULER CHARACTERISTIC 1 The
From here it is not hard to see why the Euler characteristic of these examples must be 2, given the theorem for planer graphs Given a graph on the circle, we
[PDF] 1 Euler characteristics
Prove that the value of the Euler characteristic χ(S2) = V − E + F in Problem 1 Prove that the unit circle S1 = {(x, y) ∈ E2 : x2 + y2 = 1} is homeomorphic to the
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Benjamin Ratin, MIT PRIMES Circle 2 3 Compact Surfaces and Euler Characteristic crossings, similar to a circle that can be found in figure 1 Another
The Euler Number
number” or “Euler characteristic ” This assigns an integer to complexes homeomorphic to the circle, the solid square, and the annulus These have been built
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