(Ed Note: This was earlier posted under the incorrect title "On Designing Olympiad Training". How I managed to mess that up is a long story involving some incompetence with Python scripts, but this is fixed now.) Spoiler warnings: USAMO 2014/1, and hints for Putnam 2014 A4 and B2. You may want to work on these… Continue reading On Reading Solutions

## Putnam 2015 Aftermath

(EDIT: These solutions earned me a slot in N1, top 16.) I solved eight problems on the Putnam last Saturday. Here were the solutions I found during the exam, plus my repaired solution to B3 (the solution to B3 I submitted originally had a mistake). Some comments about the test. I thought that the A… Continue reading Putnam 2015 Aftermath

## The Mixtilinear Incircle

This blog post corresponds to my newest olympiad handout on mixtilinear incircles. My favorite circle associated to a triangle is the \$latex {A}&fg=000000\$-mixtilinear incircle. While it rarely shows up on olympiads, it is one of the richest configurations I have seen, with many unexpected coincidences showing up, and I would be overjoyed if they become… Continue reading The Mixtilinear Incircle

## Three Properties of Isogonal Conjugates

In this post I'll cover three properties of isogonal conjugates which were only recently made known to me. These properties are generalization of some well-known lemmas, such as the incenter/excenter lemma and the nine-point circle. 1. Definitions Let \$latex {ABC}&fg=000000\$ be a triangle with incenter \$latex {I}&fg=000000\$, and let \$latex {P}&fg=000000\$ be any point in… Continue reading Three Properties of Isogonal Conjugates

## What leads to success at math contests?

Updated version of generic advice post: Platitudes v3. I think this is an important question to answer, not the least of reasons being that understanding how to learn is extremely useful both for teaching and learning. [1] About a year ago [2], I posted my thoughts on what the most important things were in math… Continue reading What leads to success at math contests?