puzzle-15113be4

This is another cool one. Lot's going on, but most of it is noise. Similar to the previous puzzle, in the sense that it solidifies the idea to keep a concrete representation of the input and output, and operations should be applied as apposed to prediction.

See that post for more context:

In this one we have a number challenges:

1. Understand the top-left square is a pattern we're looking for

2. Understand top-left pattern is actually 2x scaled version of the real pattern we'll be matching to

3. Understand the color of the top-left is the color we should transform that pattern into

4. Look in each 3x3 square and highlight it anytime its filled squares contains the pattern

We're gonna need a visual cortex or something.

Some context on why that's going to be important (from my friend Claude):

The visual cortex typically makes up about 20-25% of the cerebral cortex in humans. This substantial portion of the brain is dedicated to processing visual information, highlighting the importance of vision in human perception and cognition.

While the visual cortex is primarily known for processing visual information, its influence extends into higher cognitive functions, including aspects of logic and reasoning. This connection highlights the intricate relationship between visual perception and abstract thought.

1. Visual-spatial reasoning: The visual cortex plays a crucial role in visual-spatial reasoning, which is often a key component of logical problem-solving. This includes:

• Mental rotation tasks

• Pattern recognition

• Spatial relationships between objects

These skills are fundamental to many logic puzzles and mathematical concepts, such as geometry and topology.

2. Abstract symbol processing: The visual cortex is involved in recognizing and interpreting symbols, which is essential for:

• Reading and understanding written language

• Interpreting mathematical notation

• Comprehending diagrams and charts

3. Embodied cognition: There's growing evidence that abstract thinking and reasoning are grounded in sensory and motor experiences. The visual cortex may contribute to this by:

• Providing concrete visual metaphors for abstract concepts

• Supporting mental simulations of physical scenarios to solve logical problems

4. Cross-modal integration: The visual cortex doesn't operate in isolation; it has connections to other brain areas involved in reasoning and decision-making, such as the prefrontal cortex. This integration allows for:

• Combining visual information with other types of data to make logical inferences

• Using visual imagery to support verbal or mathematical reasoning

5. Intuitive physics: The visual system, including the visual cortex, plays a role in our intuitive understanding of physics, which can inform logical reasoning about cause and effect in the physical world.

While the visual cortex contributes to these aspects of logic and reasoning, it's part of a larger network of brain regions involved in higher-order cognition. The prefrontal cortex, parietal lobe, and other areas also play crucial roles in logical reasoning and problem-solving.