hawai'i; 2025, june, 14


(♃ finally out of ♊️; ☉ conjunct my ☊ in ♊️; collective ♃ ◼ ♄ and ♂ ◼ ♅ (ouch!) and ☿ in ♋️)

aloha, my dear anons — today we kick off the epic summer of 2025 with a gemini fest

once upon a time, there was a lil girl who loved to write and decipher codes
(and she was very good at it)

her first passions were AI and the universe
her utmost desire was to change the world through technology and science

after many decades of hard work and dedication, she finally finds herself at the right time and place

and with a lil help from her friends, she started living her dream fully
(and reality became her playground
) 🌺

group theory is the study of symmetry, where a group is a set of elements combined with an operation that satisfies certain rules

let's play with the idea of applying high-level concepts from group theory to astronomical configurations, as a lens for exploring patterns within chart(s)

a basic framework

1️⃣ elements in the group are the luminaries, planets, asteroids, lots, etc. (which are themselves divided into subgroups)
2️⃣ operations in the group are the aspects: the angular relationships between two elements, corresponding to symmetries on the circle
(a conjunction is 0°; an opposition is 180° — a reflection or C₂; quintile is 72°; a trine is 120° — a rotation symmetry of a triangle or C₃)
3️⃣ there are 12 constellations, each with 30 degrees of arc (also called "houses") — where each degree has a different significance (e.g., 0° is very different from 29°)
4️⃣ the four qualities and the three modalities create distinct (sub)groupings and symmetries

property I: closure ➡️ if you combine any two elements in the group, the result is still an element within that same group

if you merge the archetypes associated with two constellations, the result remains interpretable within the archetypal framework
if you apply an aspect (a group operation) between two objects, the result is still an aspect within the system

property II: associativity ➡️ (a⋅b)⋅c = a⋅(b⋅c)

consider a complex planetary configuration, say a t-square with three objects
the overall astrological interpretation of that t-square's influence remains consistent, regardless of the order in which the objects are considered

property III: identity ➡️ there is an element that leaves other elements unchanged when applied through the group operation

for example, consider a simple rotation group: scorpio (8) + 5 → aries (1), because 8 + 5 = 13 ≡ 1 mod 12
this operation: is closed (always lands on another constellation), has an identity (rotates by 0), has an inverse (rotates backward), and is associative (the order of rotating doesn't matter)

another example of identity in relation to modalities or qualities can be extrapolated from the constellation in which an object is exalted or in its domicile, as this may be seen as representing its identity state

property IV: inverse ➡️ every element has an inverse that, when combined through the group operation, produces the identity

following the same logic, the constellation where an object is in detriment can be seen as the inverse of its exalted state

to be continued...

meanwhile... can you guess the prompts and the styles for this fellow gemini's birthday celebration?

✨ google gemini version ✨







✨ recraft.ai version ✨