A FEW PLACES TO STARTEXPLORE WEBSPACEAI

THE CURIOSITY LAB

A little less scrolling.
A little more wondering.

Follow a connection. Question a claim. Build a tiny brain. There’s a whole world hiding behind a good question.

13 ways in
Take your time

FIND YOUR WAY IN

What are you in the mood for?

13 experiences

MAKE SPACE / MAKE YOURSELF AT HOME

ResearchOS

Good ideas need room.

Articles, notes, radio, and experiments. Arrange them in your own research desktop.

UNDERSTAND / EXPLORE

Research Constellation

Ideas have neighbors.

Move the map. Follow a connection. Find the question between two questions.

UNDERSTAND / INVESTIGATE

The Hallucination Room

Confidence is not evidence.

Six investigations. Three convincing claims. One leap too far.

UNDERSTAND / SIMULATE

Build a Tiny Brain

The system is the experiment.

Connect perception, memory, planning, tools, and safety. Then see what happens.

TAKE A DETOUR / TUNE IN

Signal Radio

Something is on the air.

Tune a quiet, imaginary radio. Discover a thought between frequencies.

UNDERSTAND / READ CLOSER

Ask This Article

Keep the evidence close.

Ask a question. Inspect the passages. Follow the references.

TAKE A DETOUR / DISCOVER

The Hidden Frequency

A second look pays off.

Find five fragments tucked around the site. Unlock a little something extra.

MAKE SPACE / MAKE SPACE

Your Research Desk

Make an idea your own.

Collect stories, organize projects, write notes, and take a copy with you.

TAKE A DETOUR / PLAY

Lost Signal

Take the scenic route.

A tiny maze, three fragments, one portal. No timer. No rush.

TAKE A DETOUR / CHOOSE A PATH

The Unanswered Room

A question needs room.

An interactive fiction about evidence, permission, and the space between them.

MAKE SPACE / LOOK BACK

Your Personal Observatory

Curiosity leaves a little light.

An opt-in, local constellation of the ideas and places you explore.

UNDERSTAND / REVISIT

Research Time Machine

Good questions travel.

Revisit eight selected papers. Compare their findings, limits, and open questions.

MAKE SPACE / READ SLOWLY

The Quiet Library

A thought needs a margin.

Read beside another story. Keep exact-passage highlights and your own notes.

SMALL IDEAS, MADE VISIBLE

Stay a little longer.

01 / ATTENTION, MADE VISIBLE

What gets your attention?

Same sentence. Different focus. Watch a tiny attention calculation shift as you change the query.

Interactive illustration
Choose a query
the
6.5%
curious
22.1%
robot
32.8%
finds
13.5%
a
6.4%
path
18.7%

“robot” receives the most weight: 32.8%. This query emphasizes the first dimension.

Look under the hood +

Each word has a hand-authored 3-dimensional key. The chosen query is also a 3-dimensional vector. We calculate dot products, divide by √3 and the temperature, then apply softmax. These labels describe our toy vectors; they are not learned semantic categories.

softmax(Q · Kᵀ / (√3 × temperature))
Illustrative key vectors · Query [1, 0.1, 0.1]
TokenKey vectorWeight
the[0.1, 0.2, 0.1]6.51%
curious[0.8, 0.2, 0.5]22.08%
robot[1, 0.9, 0.2]32.81%
finds[0.4, 0.7, 1]13.46%
a[0.1, 0.1, 0.1]6.41%
path[0.6, 0.8, 0.9]18.72%

This is one unmasked attention distribution with invented vectors. It does not run an AI model or show a model’s internal reasoning. Real transformer layers also use learned projections, values, masks, and multiple heads.

SPACE TO THINK

Longer context. Bigger footprint.

Explore how tokens, attention heads, and concurrent sequences change raw KV-cache memory.

Read the analysis ↗

EXPLORE THE CALCULATION

How context changes the raw cache

Fixed example: 32 layers and head dimension 128. Change the retained tokens, KV heads, and sequence count.

4 GiB of raw KV stateExcludes weights, workspaces, allocator and quantization metadata. This is tensor arithmetic, not a serving-capacity benchmark.
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Curiosity is a useful habit.

These experiments illustrate ideas. For the evidence, assumptions, and questions behind them, spend some time in the journal.

Keep exploring ↗