Genesis (DCA — Day-Zero Art Blocks)

Math essence

1. Linear gradient between two palette colours in a random direction. 2. (grid_n+1) x 2 grid lines at low alpha. 3. rect_count filled rectangles with random position, size and alpha. 4. curve_count quadratic Bezier curves with random control points. 5. dot_count small filled circles at random positions. 6. (optional) cubic-Bezier 'glowing' signature line in white, drawn twice — once opaque + once with a low-alpha thick pass for the glow.

Parameters

Reference

First 60 lines of reference.py. Full source: library_external/art_blocks/DcaGenesis/reference.py

"""DcaGenesis — DCA's Genesis (Art Blocks #1, 2020).

Genesis was one of the three Art Blocks "Day Zero" collections
(alongside Chromie Squiggle and Construction Token), minted on
November 27–28, 2020 — the very first Art Blocks mints ever.
DCA (Daniel Calderon Arenas, brother of Snowfro / Erick Calderon)
authored Genesis as a 512-piece generative work described by DCA as
a "Generative System" — compositions of grids, gradients, lines,
shapes and colours, harmonised together.

DCA on Genesis (Bright Moments interview):

    "Erick had the idea to use 'Genesis' as the test project while
    he was making Art Blocks. And I liked that a lot."

    "One main visual factor is the large dots at the vertex of each
    triangle, a feature that was later removed."  (early-script output)

Per The Line's 2025 documentation of Genesis:
- 512 mints (limited edition), sold out at launch.
- Curve, Dots, Special are the more interesting rarity traits.
- Glowing Bezier (13 of 99 in the Curve trait) is the canonical
  "grail" trait variant — a white signature-line Bezier through
  the composition.
- White Sprinkles (25), Soft Points (22) of Dots (47) are the
  "salt bae" Genesis variants.

The algorithm — paraphrased from DCA's interviews and the documented
Genesis traits:

    1. Lay out a grid of cells (the Grid trait) with diagonal coverage
       across the canvas.
    2. Place rectangles (RECT1, RECT2) and trapezoids (Colored
       Trapezoid) — the geometric substrate.
    3. Draw curved Bezier paths through the grid (the Curve trait).
    4. Add dots at strategic vertices (the Dots trait, originally
       drawn at every triangle vertex).
    5. Optionally add a Glowing Bezier signature line (the rare
       Glowing Bezier trait).
    6. Background gradient + a soft scatter of "sprinkles" (the
       White Sprinkles / Soft Points traits).

Reference:
- https://verse.works/series/genesis-by-dca
- https://www.theline.wtf/storyline/the-genesis-of-generative-with-dca
- https://www.ensemble.art/story/unseen-visions
- Bright Moments, *BOSQUE DE CHAPULTEPEC BY DCA*: https://www.brightmoments.io/quarterly/dca

NB: This implementation is inspired by the Genesis aesthetic — grid
+ gradient + Bezier curves + dot sprinkles + signature line — but
the canonical Genesis JS script is not public, so the algorithm here
is an interpretation, not a 1:1 reproduction.
"""
from __future__ import annotations

from typing import ClassVar

import numpy as np