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Math Horizons Contents—September 2017

The bingo caller pulls a ball labeled O75 and announces it to the packed room of players. "Bingo!" shouts one excited card holder. In this issue of Math Horizons we learn why it is much more likely that this lucky winner has a horizontal bingo than a vertical bingo.

Also in this issue, Cathy O'Neil talks about her book on the dangers of using big data to make decisions, Weapons of Math Destruction, and what is new in the forthcoming paperback version. Students gush about their experiences studying in the new Budapest Semester in Math Education. On the cover we see the stunning entrance to Barcelona's Park Güell, which was designed by the always-inventive Antonio Gaudi. Read about the mathematics behind Gaudi's work and more in the September issue of Math Horizons. Enjoy! —David Richeson, Editor

Volume 25, Issue 1


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Such supplemental information as solutions for contests, contest winners, editorials, and other reader responses to Math Horizons articles is available here.


Quotientdoku and Remainderdoku

p. 2.
David Nacin injects some mathematics into this clever sudoku variation.
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Taking Aim at Biased Algorithms

p. 5.
Rachel Levy interviews Cathy O’Neil, author of Weapons of Math Destruction.
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Happiness Is Integral But Not Rational

p. 8.
Can a number be happy in a non-integer base? Andre Bland, Zoe Cramer, Philip de Castro, Desiree Domini, Tom Edgar, Devon Johnson, Steven Klee, Joseph Koblitz, and Ranjani Sundaresan
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A Toroidal Walk in the Park

p. 12.
Famed architect Antonio Gaudi used mathematics in his design of Barcelona’s Park Güell. Stephen Luecking
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Immersed in Budapest

p. 15.
Students learn how to teach mathematics the Hungarian way during a semester in Budapest. Ryota Matsuura and Réka Szász
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The Bingo Paradox

p. 18.
Arthur Benjamin, Joseph Kisenwether, and Ben Weiss discover why horizontal bingo winners are more common than vertical ones.
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Alternator Coins

p. 22.
How do you find a coin that alternates between real and fake? Benjamin Chen, Ezra Erives, Leon Fan, Michael Gerovitch, Jonathan Hsu, Tanya Khovanova, Neil Malur, Ashwin Padaki, Nastia Polina, Will Sun, Jacob Tan, and Andrew The
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p. 26.
Natalie Stanley reviews The Power of Networks: Six Principles That Connect Our Lives, by Christopher G. Brinton and Mung Chiang; Ellen Ziliak reviews The Mathematics of Secrets: Cryptography from Caesar Ciphers to Digital Encryption, by Joshua Holden.
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p. 28.
The Math Horizons problem section, edited by Gary Gordon
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Sick of Viral Math

p. 33.
Social media’s viral math problems propagate mathematical myths. Ilona Vashchyshyn and Egan J. Chernoff
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