gf3-constrained-animation

A skill for creating minimal, GF(3)-constrained animations optimized for Slack emoji GIFs

Capabilities

• Generate ternary-state animations (3 colors, 3 frames) with GF(3) conservation
• Enforce Slack emoji GIF constraints (size, color depth, frame count)
• Apply GF(3) arithmetic to animation transitions (e.g., state sums modulo 3)
• Integrate with Zig for low-level GF(3) operations and performance
• Validate animations using ordered locale principles (e.g., trifurcate decisions)

Implementation

["Use Zig for core GF(3) arithmetic (e.g., modular addition/multiplication) and bit-packing of ternary states." "Leverage Slack GIF Creator primitives (e.g.,

kaleidoscope

,

shake

) with strict constraints: 3 colors, 3 frames, and 64KB max size." "Apply ordered locale patterns to ensure animations adhere to GF(3) conservation (e.g., sum of color states modulo 3 remains constant)." "Implement a validation pipeline: 1) Check GF(3) conservation in state transitions, 2) Enforce Slack constraints via

check_slack_size

, 3) Optimize with

optimize_for_emoji

." "Example workflow: 1) Define 3-keyframe animation (idle, action, reset) in GF(3) states, 2) Use Zig to compute transitions, 3) Render with Slack GIF Creator, 4) Validate with ordered locale checks."]

Parents

• zig-programming
• alife
• slack-gif-creator
• ordered-locale

SDF Interleaving

This skill connects to Software Design for Flexibility (Hanson & Sussman, 2021):

Primary Chapter: 3. Variations on an Arithmetic Theme

Concepts: generic arithmetic, coercion, symbolic, numeric

GF(3) Balanced Triad

gf3-constrained-animation (○) + SDF.Ch3 (○) + [balancer] (○) = 0

Skill Trit: 0 (ERGODIC - coordination)

Secondary Chapters

• Ch4: Pattern Matching
• Ch7: Propagators

Connection Pattern

Generic arithmetic crosses type boundaries. This skill handles heterogeneous data.