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Contents<br />
Single rational arctangent identities for 1r ..........•..... 1<br />
Jack Samuel Calcut III<br />
The nearring of polynomials in two variables ............ 7<br />
G. Alan Cannon and Tina Stephens<br />
Which graphs have planar shadow graphs? ............. <strong>11</strong><br />
Gina Garza and Natascha Shinkel<br />
When are a"- 1 and am- 1 amicable? ................... 21<br />
Florian Luca<br />
The arithmetic-geometric and logarithmic means ...... 23<br />
Anatoly Shtekhman<br />
Colorful paths in graphs .................................. 29<br />
Eugene Spiegel<br />
Bisecting a triangle ........................................ 31<br />
Anthony Todd<br />
Partitions and Young's lattices .......................... 39<br />
David Warren<br />
Cranks, computers, and Fermat's last theorem ........ 45<br />
John A. Zuehlke<br />
The Problem Department ................................ 47<br />
Edited by Clayton vV. Dodge<br />
Mathacrostic ............................................... 64
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