2×2×2s
- page status: scattered
- #tweetstorm draft
- 🧊 How to make a 2×2×2 model 🧊
Find an existing 2×2 that feels incomplete:
↕️ if it's missing a whole other plane
↳ add a third axis
💠 if it has an axis that is a false duality
↳ make that a diagonal - ↕️ Add Missing Axis approach
Tip: see if you can find two entities that should be in one box but are importantly different. Then see if other boxes have entities with similar differences.- Another way to do Missing Axis is to say "this chart is completely missing the point—I could agree with any position on this chart, or disagree with any position on this chart, based on whether or not they also held X"
- 💠 Diagonalize False duality approach
When to use: "I want both of these apparently opposing things" (or less-frequently, neither)
Tip: find another 2×2 whose diagonal already (even roughly) maps onto the limiting axis, then superimpose it like I did here:
- How to represent a 2x2x2 model:
- Venkat recommends
- Triple Venn
- holy shit, I was trying to nap and realized the most common 2x2x2 representation (and the majority of functionally-2x2x2 models that have ever been created) is hidden in plain site: it's the triple-venn!
- (lots of triple venns are crap and/or not examples of this, to be clear)
- these tend to be used in situations where there's an impled zero-point and not much to say about it
- and where the (1,0,0) & (0,1,0) & (0,0,1) points are have the same names as their axes
- inner-outer
- might be confusing unless the inner-outer dimension has intuitiveness to it, eg you'd literally be inclined to call it "inner" and "outer"
- aha! how we represent the intentions quadrants is one of these!
- if you see this as a 3D structure where the orthogonal dimension is "distance from center" then the yellow labels in the center are labelling the entire vertical column, ie quadrant, and the purple things in the outer corners are essentially gesturing at "how does one improve in this quadrant", and then the red ring is "dysfunctional" and the blue area is "functional"
- wireframe cube corners
- cutaway cube
- idk how tf this one is supposed to work
- no diagonals
- tree
- (example from @notsilverv)
- here it is RGBified
- two squares / two 2x2s side-by-side
- Color Cubes
- HSL & HSV don't work because they aren't naturally cubes; the H axis is polar
- (something like this could work well for eg mapping the enneagram & its health levels... use hue for the types and saturation for health)
- RGB cube
- seems great when:
- you want to really clearly label the axes
- you want to emphasize or exalt one one corner
- like in this really epic caligraphic political cube with a fuckton of discussion, one could easily make medieval black and liberal white, which also fits with medieval as anti-enlightenment
- that would imply RGB for Right Wing, Statist, Conservative
- and CMY for Libertarian, Leftist, Progressive
- With those being constrained to two actual choices; four options. None seem to line up obviously, as one can't get both Tory blue & Libertarian Yellow
- but we could get leftist pink/magenta/fuschia (for bleeding heart) while libertarian is yellow. that would leave
- progressive cyan
- right wing green
- conservative red
- statist blue
- these are similar to the conditions in which a Triple Venn is appropriate
- YUV cube
- seems great when:
- you want to be able to clearly label the faces
- opposing pairs are
- dark & light
- yellowish & blueish
- reddish & tealish
- you want to take a neutral stance towards at least 2 axes
- you have a natural dark-light axis
- video: can get a gif or excerpt from this around 4m08
- Example 2×2×2s
- mine building on Matt Goldenberg's
- this is a great example of adding a dimension to the classic libertarian 2x2
- really epic caligraphic political cube with a fuckton of discussion
- this one is actually pretty weird and possibly-nonlinear, in that it doesn't clearly specify what the axes are at all, and yet the opposites are clearly opposites and the adjacent ones seem to make some amount of sense that they're adjacent...
- there are other political ones here
- I would like to find some more non-political examples
- Searching twitter I find only one thing, but it's good:
- Other stuff
- general advice, from Twitter
- MattG commented to me out loud April 24th, 2020 that he values making 2x2s to make distinctions, and then intentionally trying to break the 2x2s (and do they need to become 2x2x2s, or 2x3s, whatever)
- I'm thinking about Daniel Thorson's Four Facets 2x2 Update: Daniel Thorson made this 2×2 which I feel points at a more coherent version of what these four pithy phrases might mean: and realizing wait, each of the four facets is ITSELF a dimension
- so this is like PCA, sort of
- raises questions of like, what are the 4 things and are you aiming to balance them, or what? what is the purpose of a given 2x2?
- References
- This is a fairly-popular diagram (sometimes with "ikigai" in the middle, although this is apparently misleading ) that represents a 2x2x2x2 with 4 segments not filled in
- this one tries to fill them all in
- Not particularly relevant to 2x2x2s but interesting:
- the I, LPC article
- Misc
- Could make a plugin for Roam for making 2x2s, and/or one for making 2x2x2s
2 linked references
December 8th, 2019
- Played around with 2×2×2s, including advice on how to make them. Will be a #tweetstorm eventually
- Can't decide if I want to solicit more 2x2x2s as examples first, or post the how-to-make first...