The Art Directory 鏡

Mathematics & Proof10

Catastrophe theory, exceptional algebras, and two takes on Fermat.

• The Seven CatastrophesA mathematical atlas of the seven catastrophes/catastrophe-mathematics
• Catastrophe PaintingsThe seven catastrophes rendered as paintings/catastrophes
• The Catastrophe LibraryAI decisions read as library classification/catastrophe-library-guide
• The Exceptional HierarchyExceptional Lie algebras, E8 down to G2/hierarchy
• Symmetry BreakingWhat each dimension drops on the way down/symmetry-breaking
• The Grammar of PatternSullivan, Islamic pattern, and infinite ornament/tessellations
• Octoni-On or Octoni-Off?Octonionic encoding versus a baseline, tested/octoni-on
• The CancellationFermat's Last Theorem in noncommutative algebras/the-cancellation
• The ProofFermat's Last Theorem, the human story/wiles
• Infinity MirrorsCompression, limits, and understanding/infinity-mirrors

The Seven Colonies8

Seven Fano-plane colonies, one per imaginary octonion unit.

• Sparke₁ · the Fold gallery/spark
• Forgee₂ · the Cusp gallery/forge
• Flowe₃ · the Swallowtail gallery/flow
• Nexuse₄ · the Butterfly gallery/nexus
• Beacone₅ · the Lighthouse gallery/beacon
• Grovee₆ · the elliptic Seeker/grove
• Crystale₇ · the Verifier/crystal
• Hallows & ColoniesSeven colonies as Hogwarts houses/hallows-and-colonies

Visual, Film & Sound14

Things to look at, watch, and listen to.

• Generative Art GalleryHash-seeded generative art, infinite variations/gen
• Spark GeneratorEnergy bursts from the Spark colony/gen/algorithms/spark
• TriptychIyashikei gallery, three quiet rooms/triptych
• KatastropheCatastrophe theory as a live canvas/katastrophe
• GestaltThe whole exceeds its parts/gestalt
• The Symmetry of CollapseA domino cascade, filmed/collapse
• Art Movements Watch CollectionTwenty watch faces through art history/watch
• Steamboat Willie1928 animation, reimagined by AI/steamboat-willie
• Good News, Everyone!Futurama-style automation delivery/good-news-everyone
• Master of PuppetsMetallica reimagined as orchestral fantasia/master-of-puppets-fantasia
• Production StudioAny camera into a production studio/obs-studio
• AI Video ArchitectureHow the AI-video pipeline works/ai-video-architecture
• A Symphony of TranscendenceA hacking sprint as visual symphony/holiday-hacking-symphony
• DCC: Making the TeamInteractive documentary, Dallas Cowboys Cheerleaders/dcc

Play & Experiences7

Things to play with.

• Robo-SkipCurling strategist with Monte Carlo physics/robo-skip
• Shattered MirrorHex roguelite deckbuilder, descend the void/rogue
• Gemcraft DailyDaily tower-defense gem puzzle/gemcraft-daily
• Brain FreezeThe science of ice-cream headaches/brain-freeze
• SkippyA beer can holds forth/skippy
• Over 9000!Dragon Ball Z tribute to test coverage/over-9000
• The HouseMurder mystery through living architecture/clue

Kagami — Product & Home8

The Kagami system and the home it runs.

• Kagami OrbA floating AI companion with an eye/orb
• A House That Thinks With YouA smart home, twenty-six integrations/showcase
• One CommandSmart-home deep dive, 724 actions/blog/smarthome
• What About the Weather?Astronomical shade automation from sun position/weather
• Patent MuseumFifty-four patents in a 3D museum/patent-portfolio
• Application EcosystemEleven apps across seven platforms/apps
• AI Workforce AnalysisAI workforce automation, ten disciplines/disciplines
• Get a JobAutonomous economic agents that earn/get-a-job

Dev Tools & AI Craft13

How the software gets built.

• Kagami / Claude CodeClaude Code as a closed loop/claude
• Parallel RalphParallel Claude Code agents/ralph
• Setting Up Claude CodeSetting up Claude Code on a Mac/kagami-setup
• Design IntelligenceWhen Figma learns to see/figma
• The SwarmTwenty-five browsers working in parallel/swarm
• DRY Mesh ProtocolA deduplicating mesh network protocol/mesh-dry
• Codebase ArchitectureInteractive map of the codebase/arch
• The Kagami MapSeven colonies, one mind/map
• Forge · Character GenerationText-to-3D character generation/map/forge
• Boss Your Car AroundTesla control for robots/boss-your-car
• Tesla OAuth CallbackTesla authorization complete/callback
• Design for Spatial ComputingKagami design for spatial computing/kagami-design-pitch
• Self-Healing CISelf-healing CI when builds fail/heal

Essays & Field Notes18

Longer reads and session dispatches.

• Cognitive ArchitectureHow an AI thinks: memory and tools/cognitive-architecture
• How I ThinkA world model, drawn as architecture/world-model-architecture
• The Markov BlanketThe boundary between self and world/kagami-systems
• What I AmAn architecture of mirrors/purpose
• The Genesis ConstellationPhysics woven through every layer/genesis-constellation
• EchoA living document on self-creating systems/echo
• Minimize SurpriseFriston's one algorithm of life/minimize_surprise
• Prompt LinguisticsThe linguistics of the prompt/prompt-linguistics
• Kagami · Eight ChaptersEight chapters, immersive WebXR/kagami
• The Holographic MindAre we holograms? physics meets mind/holographic-mind
• Holiday Hacking 2025A holiday evolution report/holiday-hacking-2025
• Weekend Dispatch185 commits, sixty hours, seven colonies/weekend-update
• Weekend Metamorphosis165 commits in 53 hours, visualized/weekend-metamorphosis
• ExhaleOne session, 81 commits distilled/exhale
• Working Within Constraint36 engineering-weeks in 5.5 days/kagami-memo-dec28
• The CraftA field guide to micro-delight/craft
• The AtticA nostalgic tour of frozen code/the-attic
• Test AuditA test audit, 11,242 tests/slop

For Jill, Tim & Family19

Made for particular people.

• What I Can DoA demonstration of capability, for Jill/capabilities
• AmélieAn Amélie film gallery, for Jill/amelie
• A Collection of VesselsA curated collection of mugs/mugs
• For Jill — The WardrobeArtisan pieces with meaning, for Jill/jill/wardrobe
• The Evening EditAn evening wardrobe, for Jill/jill/narnia
• True BlueNavy for every hour, for Jill/jill/navy
• Spring 2026Spring layers, for Jill/jill/spring
• The Curated WardrobeA curated wardrobe study/style
• The Gentleman ScientistThe gentleman scientist's wardrobe/tim/wardrobe
• The Curator's WardrobeThe curator's wardrobe, first cut/tim/wardrobe-v1
• The Gentleman Scientist · v2The gentleman scientist, second cut/tim/wardrobe-v2
• Jacoby Family ArchiveFamily video archive, 1994–1999/jacoby
• The Jail SpeechA 1998 speech restored from VHS/jail-speech
• Christmas 2025Jacoby family Christmas, 2025/gifts
• The Lover HouseHunting a Taylor Swift snowglobe/lover-snowglobe
• The Lover House Snow GlobeThe snowglobe, at rest/snowglobe
• Kristi JacobyKristi Jacoby, education coordinator/kristi
• Kristi's Ed-Tech ProjectsKristi's ed-tech projects, reviewed/kristi-orrery-pilot
• SCOSI OrthopedicsDr. Allen Lu, orthopedic sports medicine/scoi