VDR Official X
February 9, 2026
3Blue1Brown • An excuse to teach a lesson on information theory and entropy. These lessons are funded by viewers: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks An equally valuable form of support is to simply share the videos. Contents: 0:00 - What is Wordle? 2:43 - Initial ideas 8:04 - Information theory basics 18:15 - Incorporating word frequencies 27:49 - Final performance Original wordle site: https://www.powerlanguage.co.uk/wordle/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Shannon and von Neumann artwork by Kurt Bruns. https://www.instagram.com/p/CZpRKhMJnD6/ Code for this video: https://github.com/3b1b/videos/tree/master/_2022/wordle These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Thanks to these viewers for their contributions to translations German: Thadaeus, styrix560, wolfsgier ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown
Content Summary
This report is generated from research on the following videos, based on the requirements set in Video Deep Research.
Analyze selected videos,
My goal is 📑 Discover Content Intelligence
My role is 🎙️ Consultant/Advisor
I need: 🤵 Client demands assessment, 💼 Client challenge analysis and solution framework
https:...EmEA
Summary
1. Quantifying Discovery Progress
2. Prioritizing High-Impact Actions
3. Aligning Solutions with Human Relevance
Knowledge Snap
Intelligence Principle 1: Quantifying Discovery Value
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Video Title
08:10 - 10:14
The bit serves as the standard unit for measuring the amount of information gained.
08:17 - 10:21
An observation that reduces the total possibilities by half provides one bit of information.
08:30 - 10:34
Reducing the total space of words by half results in gaining one bit of information.
Intelligence Principle 2: Distribution Flattening
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Video Title
12:54 - 14:56
The flatness of a distribution directly correlates with the amount of entropy or uncertainty present.
13:22 - 15:22
A flatter distribution across possible patterns indicates a higher potential for gaining information.
11:32 - 13:32
Average information gain is calculated by summing the relevant terms from a specific distribution.
Intelligence Principle 3: Leveraging Prior Knowledge
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Video Title
18:30 - 20:30
Data is pulled from a public dataset to establish relative word frequencies for modeling.
04:45 - 06:48
Data from external sources is used to model the likelihood of specific final answers.
19:39 - 21:39
Probabilities are assigned to each item based on its likelihood of being the final answer.
Intelligence Principle 4: Information Entropy Dynamics
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Video Title
13:57 - 16:02
The algorithm computes entropy for all possible guesses to find the most effective one.
14:13 - 16:16
The primary objective is to reduce the space of remaining possibilities as much as possible.
15:41 - 17:41
Entropy measurements provide a way to track the current level of uncertainty in the process.
Intelligence Principle 5: Decision Logic Refinement
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Video Title
26:46 - 28:46
Low uncertainty indicates that only a small number of possibilities remain to be considered.
25:52 - 27:52
Calculated bits are compared against expected information to gauge the success of an action.
24:37 - 26:38
The process is refined over time by continuously narrowing down the bits of uncertainty.
Intelligence Principle 6: Predictive Performance Modeling
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Video Title
17:30 - 25:30
Simulations are run by playing through every possible game scenario to test performance.
17:50 - 25:50
The average score across all simulations is used to measure the algorithm's overall effectiveness.
05:53 - 08:00
Most of these are very obscure and even questionable words. But at least for our first pass at.
Architecting Content Intelligence Through Information Theory
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🎯
Defining the Opportunity
00:00 - 02:43
Consultants identify popular tools to serve as primary case studies for deeper discovery.
🛠️
Designing Optimal Strategies
05:38 - 07:44
The goal is to move from casual use to constructing highly efficient algorithmic frameworks.
🔍
Analyzing Letter Patterns
02:48 - 04:52
Early discovery phases involve assessing basic frequency counts to find structural advantages.
📊
Quantifying Discovery Units
10:43 - 12:43
Consultants apply rigorous mathematical units to measure how much uncertainty is reduced by new data.
⚖️
Calculating Expected Outcomes
12:45 - 14:48
Determining the average value of intelligence helps advisors prioritize the most impactful discovery paths.
🌐
Weighting Word Frequencies
18:22 - 20:23
Incorporating real-world usage data ensures that solution frameworks align with actual human behavior.
🚀
Simulating Strategic Models
27:49 - 30:38
Advanced iterations are tested against large datasets to evaluate performance improvements over naive methods.
🚧
Defining Boundary Limitations
29:41 - 30:38
Acknowledging theoretical limits helps consultants manage expectations regarding absolute solution perfection.
Learning Pathway for Content Intelligence Strategy
| Stage | Videos |
|---|---|
1. Contextual Discovery | lesson on information theory and entropy. These lessons are funded by viewers: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks An equally valuable form of support is to simply share the videos. Contents: 0:00 - What is Wordle? 2:43 - Initial ideas 8:04 - Information theory basics 18:15 - Incorporating word frequencies 27:49 - Final performance Original wordle site: https://www.powerlanguage.co.uk/wordle/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Shannon and von Neumann artwork by Kurt Bruns. https://www.instagram.com/p/CZpRKhMJnD6/ Code for this video: https://github.com/3b1b/videos/tree/master/_2022/wordle These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Thanks to these viewers for their contributions to translations German: Thadaeus, styrix560, wolfsgier ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown |
2. Fundamental Information Measurement | lesson on information theory and entropy. These lessons are funded by viewers: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks An equally valuable form of support is to simply share the videos. Contents: 0:00 - What is Wordle? 2:43 - Initial ideas 8:04 - Information theory basics 18:15 - Incorporating word frequencies 27:49 - Final performance Original wordle site: https://www.powerlanguage.co.uk/wordle/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Shannon and von Neumann artwork by Kurt Bruns. https://www.instagram.com/p/CZpRKhMJnD6/ Code for this video: https://github.com/3b1b/videos/tree/master/_2022/wordle These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Thanks to these viewers for their contributions to translations German: Thadaeus, styrix560, wolfsgier ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown |
3. Surprise and Significance | lesson on information theory and entropy. These lessons are funded by viewers: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks An equally valuable form of support is to simply share the videos. Contents: 0:00 - What is Wordle? 2:43 - Initial ideas 8:04 - Information theory basics 18:15 - Incorporating word frequencies 27:49 - Final performance Original wordle site: https://www.powerlanguage.co.uk/wordle/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Shannon and von Neumann artwork by Kurt Bruns. https://www.instagram.com/p/CZpRKhMJnD6/ Code for this video: https://github.com/3b1b/videos/tree/master/_2022/wordle These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Thanks to these viewers for their contributions to translations German: Thadaeus, styrix560, wolfsgier ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown |
4. External Data Correlation | lesson on information theory and entropy. These lessons are funded by viewers: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks An equally valuable form of support is to simply share the videos. Contents: 0:00 - What is Wordle? 2:43 - Initial ideas 8:04 - Information theory basics 18:15 - Incorporating word frequencies 27:49 - Final performance Original wordle site: https://www.powerlanguage.co.uk/wordle/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Shannon and von Neumann artwork by Kurt Bruns. https://www.instagram.com/p/CZpRKhMJnD6/ Code for this video: https://github.com/3b1b/videos/tree/master/_2022/wordle These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Thanks to these viewers for their contributions to translations German: Thadaeus, styrix560, wolfsgier ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown |
5. Mapping Success Probabilities | lesson on information theory and entropy. These lessons are funded by viewers: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks An equally valuable form of support is to simply share the videos. Contents: 0:00 - What is Wordle? 2:43 - Initial ideas 8:04 - Information theory basics 18:15 - Incorporating word frequencies 27:49 - Final performance Original wordle site: https://www.powerlanguage.co.uk/wordle/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Shannon and von Neumann artwork by Kurt Bruns. https://www.instagram.com/p/CZpRKhMJnD6/ Code for this video: https://github.com/3b1b/videos/tree/master/_2022/wordle These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Thanks to these viewers for their contributions to translations German: Thadaeus, styrix560, wolfsgier ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown |
6. Architectural Feasibility Assessment | lesson on information theory and entropy. These lessons are funded by viewers: https://www.patreon.com/3blue1brown Special thanks to these supporters: https://3b1b.co/lessons/wordle#thanks An equally valuable form of support is to simply share the videos. Contents: 0:00 - What is Wordle? 2:43 - Initial ideas 8:04 - Information theory basics 18:15 - Incorporating word frequencies 27:49 - Final performance Original wordle site: https://www.powerlanguage.co.uk/wordle/ Music by Vincent Rubinetti. https://www.vincentrubinetti.com/ Shannon and von Neumann artwork by Kurt Bruns. https://www.instagram.com/p/CZpRKhMJnD6/ Code for this video: https://github.com/3b1b/videos/tree/master/_2022/wordle These animations are largely made using a custom python library, manim. See the FAQ comments here: https://www.3blue1brown.com/faq#manim https://github.com/3b1b/manim https://github.com/ManimCommunity/manim/ You can find code for specific videos and projects here: https://github.com/3b1b/videos/ Thanks to these viewers for their contributions to translations German: Thadaeus, styrix560, wolfsgier ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe Various social media stuffs: Website: https://www.3blue1brown.com Twitter: https://twitter.com/3blue1brown Reddit: https://www.reddit.com/r/3blue1brown Instagram: https://www.instagram.com/3blue1brown_animations/ Patreon: https://patreon.com/3blue1brown Facebook: https://www.facebook.com/3blue1brown |
Detailed Findings and Insights
1. Logarithmic Measurement Advantages
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Video Title
09:43 - 11:43
Logarithms make it simpler to express the information value of highly unlikely events.
09:35 - 11:35
Logarithms are introduced to manage the math behind the word game's discovery process.
2. Entropy as a Debate Advantage
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Video Title
12:22 - 14:27
The term entropy was chosen partly because its mysterious nature offers a debating advantage.
12:07 - 14:13
John von Neumann suggested calling the expected value of information entropy.
3. Obscure Content Management
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Video Title
21:30 - 23:30
Obscure words do not significantly change the level of uncertainty in a well-modeled system.
21:22 - 23:22
Actual uncertainty is not strictly tied to the total number of matching items in a list.
4. Regression for Score Prediction
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Video Title
27:36 - 30:38
A regression is performed to fit a function that models the relationship between uncertainty and scores.
26:14 - 28:14
Data from previous games is plotted to establish a pattern for expected scoring.
5. Human Curation vs. Raw Data
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Video Title
04:06 - 06:06
The game's answers are typically common words rather than obscure five-letter strings.
04:15 - 06:16
The list of potential answers is human-curated, making it different from the list of valid guesses.
6. Search Depth Limitations
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Video Title
28:49 - 30:38
Performing a search two steps ahead helps improve the system's overall performance.
01:31 - 08:04
Don't worry about all the data that it's showing right now, I'll explain that in due time. But.
