Summer of Math Exposition

How Simple Math Makes Tetrachromacy So Colorful

Audience: high-schoolundergraduategraduatemiddle-school

Tags: colorsmathcoordinatesdimensionsvisionaugmentationtechnology

In this video I'm visualizing the dimensional math of tetrachromacy. As an aid to this visualization I'm presenting a new type of color, called "interlaced colors", that I've invented to allow for the functional experience of a specific type of tetrachromatic colors for normal trichromats. "Interlaced colors" are based on the concept of optical color mixing. I'm also using "dichoptic colors" (i.e. when each of your eyes sees the same object in different colors) to visualize the math and space tetrachromacy. Watch this video to better understand how tetrachromacy works, how you can experience it yourself through several methods, and how you can use the presented novel color experiences to intuitively understand dimensional math above three dimensions. This video shows how simple math makes tetrachromacy so incredibly more colorful than normal trichromacy. It demonstrates that although trichromacy is a subset of tetrachromatic colors, thanks to the context of a 4th independent axis (and a novel primary color) to the space of color tetrachromatic colors become almost incomparable to normal trichromatic colors—both in quantity and quality. As such, both "interlaced" and "dichoptic" tetrachromatic colors can be used to render and intuitively understand higher-dimensional math visualizations for which normal trichromatic colors aren't enough.



Analytics

7 Overall score*
24 Rank
22 Votes
12 Comments

Comments

6.5

Overall, I loved the visualizations that you provided for the viewer throughout the video. They made all of the concepts explained come to life and were really the stars of the show. My favorites were the color cone graphs and space/dimension simulations.

5.4

Interesting, but way too long. Irritating voice.

3

The concept was interesting to learn about. I didn’t know that it was possible for people to have 4 rods in their eyes to see different wavelengths. It would be interesting to know what having 4 rods would look like. However, I don’t feel like this simulation with interlaced colors worked for me. I’m not sure if limitations on the computer I was using to view it made the visualization less effective, or if my brain would just need more time to learn how to interpret the interlaced colors, but I didn’t feel like it was effective for me.

Looking at the audience listed for the video, I feel like the explanations here would be above the understanding of average middle school and high school students. There was a lot of jargon. I think most of it was explained eventually, but as it was a new topic for me, I did find myself getting lost at times throughout the video.

The introduction and conclusion are the two parts of the video that I think could be improved the most. At the end of the introduction, I wasn’t sure exactly how the video was relevant to me as a viewer. Giving the viewer something specific and relevant to them to watch for during the video may be a good way to draw them in for the duration of the video. In the conclusion, several new concepts and vocabulary were introduced. As a viewer, when I heard the word “conclusion,” I was preparing for a summary, and then there were more ideas about 6D color spaces, and I had to get back into learning mode. I think touching on those new concepts either earlier in the video or pointing to those new topics as potential for future videos would have made the conclusion smoother. I was also caught off guard by the extra time at the end of the video for solving the color sphere.

Overall, I think it was an interesting concept. You helped me think more about color and how we see the world, so thanks for the new perspective. I hope this feedback is helpful to you for your future videos.

6.5

The premise is really interesting, and I’ve always been curious about tetrachromacy. And all the technical details make sense. The interlacing just doesn’t work for me (at any resolution or distance from the screen). I think I’d need the fancy glasses to see 4d color.

5

It emphasizes the the counterintuitive fact that we all sense the world differently.

The math content is limited (which is fine), but for long it is unclear what is the main story, the combinatorial explosion through adding dimensions, or color perception. It’s the latter, and it is very interesting, but the math connection is somewhat forced.

5.5

This was an interesting curiosity. It seemed like quite a long video that I’m not sure I got much more out of than the short sentence: “maybe you could simulate more colors by interlacing two colors.” Maybe some sort of interactive guided tour or game would have made it feel more immersive.

6.2

This is a very interesting video. The part about some people having four cones in their eyes and seeing more shades of colour was interesting to me.

The language used and dedication to the topic displayed a lot of knowledge and the video was very detailed.

However for me as a viewer the main claim of having invented a new type of colour just didn’t seem to be justified. This led to sense of disappointment in what was a seemingly interesting video.

Also making the graphics tiny and then telling the viewers to use full screen doesn’t seem like the best way to convince people you are an expert in visualisation.

I put this score up because we discussed it in the discord and it made me think a lot about the way we perceive colour. I think by wording this differently in the introduction such as “Do you perceive this different colour.?” ""This is the colour version of a magic eye puzzle. Some people see a new colour here”. Rather than stating that it is true would be a much better experience for the viewer.

9

This is an incredibly awesome video! I really like how you give a very clear use case for this information at the start. Really good flow of information and matching between script and visuals. Really liked this one!

8

Very interesting.

9

An exploration of four color vision for people with ordinary three color vision. Impressive. Would changing the interlaced pattern every eighth of second improve the experience?

7.5

Thanks for this informative exposition on dimensions and colors. I’ve rated your Ranking score as an average of these individual scores: Motivation: 9 Clarity: 7 Novelty: 7 Memorability: 7

7.5

The visuals are very good, I like the explanations as well. I think it’s a bit misleading to claim that this is a new type of colour you invented but I’d still say it’s a novel way of representing tetrachromacy and I still thought it was interesting to watch. And it was fun to look at funny textures as well