This discussion board is a place to discuss our Daily Challenges and the math and science
related to those challenges. Explanations are more than just a solution — they should
explain the steps and thinking strategies that you used to obtain the solution. Comments
should further the discussion of math and science.
When posting on Brilliant:
Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.
Markdown
Appears as
*italics* or _italics_
italics
**bold** or __bold__
bold
- bulleted - list
bulleted
list
1. numbered 2. list
numbered
list
Note: you must add a full line of space before and after lists for them to show up correctly
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.
print "hello world"
Math
Appears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3
2×3
2^{34}
234
a_{i-1}
ai−1
\frac{2}{3}
32
\sqrt{2}
2
\sum_{i=1}^3
∑i=13
\sin \theta
sinθ
\boxed{123}
123
Comments
The idea of how local properties affects and influences global behavior always impresses me. It is amazing that just having a well defined set of rules that govern what is happening within a small area, could have a profound impact on the overall pattern that emerges.
We've seen examples of this in the Game of life and Starlings. It comes to me as no surprise that there can be a small set of local rules which helps led robots to build out amazing structures (without having the complete blueprint). Of course, the difficulty is that since humans do not operate with a 'hive mind', figuring out the important general rules can be much harder in practice.
Easy Math Editor
This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.
When posting on Brilliant:
*italics*or_italics_**bold**or__bold__paragraph 1
paragraph 2
[example link](https://brilliant.org)> This is a quote# I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world"\(...\)or\[...\]to ensure proper formatting.2 \times 32^{34}a_{i-1}\frac{2}{3}\sqrt{2}\sum_{i=1}^3\sin \theta\boxed{123}Comments
The idea of how local properties affects and influences global behavior always impresses me. It is amazing that just having a well defined set of rules that govern what is happening within a small area, could have a profound impact on the overall pattern that emerges.
We've seen examples of this in the Game of life and Starlings. It comes to me as no surprise that there can be a small set of local rules which helps led robots to build out amazing structures (without having the complete blueprint). Of course, the difficulty is that since humans do not operate with a 'hive mind', figuring out the important general rules can be much harder in practice.
Cool idea. But what has been proven?