Tastoids ⩐

That's like comparing apples to oranges!

As the age old adage goes, you can't compare apples to oranges.

While perhaps not meant to be taken literally, it is oft' posed in a playful nod to the nuance it requires.

And what then if you do? Not by erasing or otherwise minimizing their differences, but rather by honouring them?

A Matter of Taste

It is challenging to argue we don't live in interesting times.

Our preferences and activities are harvested, ranked, or I daresay even weaponized—the very essence of free-choice thwarted by systems we neither see nor control.

Despite that: You know what you like & you know what youdon't.

As powerful as the algorithmic meddling we face day-to-day is, it is merely a shadow of the true shape of your taste (𝕥).

↪ Your Tastoid

Tastoids (𝕋) –as they were–turn this algorithm inside-out.

The mere expression of taste is in and of itself a deliciously simple snapshot ready to blend, compare, retract and combine, entirely offline, ad-hoc and within your control–all utterly yours.

Tastoids, in Colour

Take for instance, the set of all "colour" Tastoids:

Each expresses a single like of that colour, while expresses a dislike.

Crucially𐞁 while & express a sentiment, their counterparts–unlike and undislike –otherwise un-express the same, such that:

But will they Blend?

Although we can't compare apples to oranges, it is about time that we answered the question: what is "plus" ?

Just as in real-life, ≠ .

While we cannot "add" tastoids, we can certainly blend/⩐ them.

Unlike a real-life blender, are not only willing to blend, but also unblend!

While and blend to ∅, blending with its or yields curious results; a naked doubling of its scalar weight or value, but not both!

A Measure of Taste

Up to now, I've only hinted at matters of length, equality, distance and averages in the universe of tastoids.

On Length & Equality

The length of a tastoid is its total number of elements:

You may have gathered that tastoids can be different, but remain the same.

A taste is strictly equal to itself, = , but ≠ .

While the latter are not equal, they do share the same length and as such are congruent; ≅ ≅ ≅ , all sharing a length = 1ⁱ

A Tastoids Congreuncies

Perhaps most importantly, Tastoids behave like triangles ⟁ in that a 1m and 10m isosceles triangle may not be equal, they are powerfully equivalent.

Similarly no matter their quantity, every tastoid when squashed is congruent to its "other" sizes, à la ≅ { } ≅ { } ≅ …, each sharing an average length = 1

Distance → Preference

In wide world of taste,
  what is distance if not a measure of preference?

As promised, something magical is about to happen…

In comparing how "far away" your tastoid is from another–whether to the unit colours, or to anothers' tastoid–you take a lense to that universe; things you like are drawn closer, while those you don't are pushed further away.

Your perspective here is quite magical.

The object () IS the algorithm.

Order amid Chaos

Any tastoid's average defines a complete and total ordering (⪦) of every one of its 'neighbour' or tastable 'unit'.

A crude approximation for small tastoids, however as your own tastoids grow their algebra edge closer and closer to your true taste. A recommendation system, portable, local & entirely yours.

Your Favourite Color

Try it yourself: pick some of your favourite ⬤ and see your ⪦ change.

t =

In Summary

Tastoids generalize preference itself.

Not only can they sort and order colours, but anything from movies & tv, to restaurants, to ideas, or even potential partners.

Where there is taste, there are Tastoids.

  Interested in funding or research collaboration? Get in touch.