Productivity advice: Do what you hate first | Donald Knuth and Lex Fridman

TL;DR

The content discusses using pi and graceful graphs as examples in mathematical problem solving, showcasing the author's approach and challenges faced.

Transcript

is there some elegant basic symbol that you're attracted to some uh give something that gives you pleasure something used a lot pie pie of course uh i try to use pie as often as i can when i need a random example because it doesn't have any uh known characters so for for instance i i don't have here to show you but uh do you do you know the uh the ... Read More

Key Insights

• 👻 Pi can be used as a visual representation in puzzles, allowing for unique and creative problem-solving experiences.
• 📈 Graceful graphs provide a fascinating approach to labeling edges, with the example of the United States graph demonstrating the application of this concept.
• 🙈 Mathematical problem-solving involves both challenges and rewards, as seen in the author's experiences with designing puzzles and writing their book.
• 😚 Productivity during the pandemic may vary, with external factors such as closed libraries and increased reliance on text-based communication affecting efficiency.
• 🥺 The author's scheduling principle emphasizes tackling the most disliked tasks early, leading to a sense of accomplishment and increased productivity.

Questions & Answers

Q: Can you explain the game called masu and how you used pi to design puzzles?

Masu is a puzzle game involving black and white stones, and the author wanted to use it as an example in their book. They used the visual representation of pi to place stones accordingly, ensuring there is a unique solution to the masu puzzle in the shape of the letter pi.

Q: What are graceful graphs, and how did you apply the concept to the United States graph?

Graceful graphs involve assigning numbers to vertices in a way that the differences between them represent the labels of the edges. The author used the United States graph, with each state assigned a number, and aimed to find a graceful labeling where the edge labels followed the digits of pi.

Q: How did your friend solve the problem of finding a graceful labeling for the United States graph?

The author's friend was able to find a perfect solution to the problem, proving that a solution exists. He assigned numbers to the states such that Washington was labeled 31 and Idaho was labeled 41, following the digits of pi.

Q: Can you explain your scheduling principle of doing the thing you hate most on your to-do list by week's end?

The author's principle is to prioritize and complete the most unpleasant tasks on their to-do list by the end of the week. They find satisfaction in finishing these tasks and feel relieved once they are done.

Summary & Key Takeaways

• The author uses pi as a visual example in puzzles, ensuring the stones are placed according to the shape of the Greek letter pi.

• They explore the concept of graceful graphs, where numbers are assigned to vertices and edges based on their differences, using the United States as an example.

• A friend successfully solves the problem of finding a graceful labeling for the United States graph, with the added feature of following the digits of pi.