Interactive Simulations
Accelerating the grasp of intensional, generative structure, with perception and relationality as carrier.
Everything, grouped by subject. For an order to go through them in, start from the front page.
Motion
trigonometry, complex numbers, calculus, gravitation
The Solar System
Pick any date from 1000 BC to 3000 AD and see where the planets were.
Rate of Change
Mark where the ball is, wait, mark it again; divide; shorten the wait.
Complex Multiplication
Two arrows multiply: the turns add and the lengths multiply.
Six Names for One Point
A point walks a circle. Sine, cosine and the rest are lengths hanging off it.
Geometry
solids, polytopes, mirrors, symmetry
Platonic Solids
The five solids whose faces and corners are all alike.
Regular Polytopes: The Dimensional Ladder of Perfection
The same perfect shapes in four, five and six dimensions.
The Hexagonal Cell: Symmetry Beyond the Frame
Six mirrors unfold into a honeycomb, then lift into four dimensions.
The Infinity Cell: Standing Inside a Reflection Group
Standing inside a mirrored dodecahedron.
Crystal Amplituhedron: Symmetry as Boundary
Every crystal symmetry on the boundary of one cone.
Periodic Table Topology
The elements as a lattice, with the loops the flat table tears.
Perception
scale, sound, color
The Pitch Circle
A note is how fast a wave turns. Twice as fast is the same note, an octave up.
Sampling and Aliasing
A recording is the wave’s height, written down thousands of times a second.
The Color Circle
The eye keeps three numbers from a light; two of them place its color.
What a Screen Can Show
Three lights mix. A screen shows only what lies between them.
Where the Names Run Out
Down sixty-five powers of ten, and how each picture was taken.
Particles
fluids, flocks
Graphs
networks of terms and ideas
Ordinary Language Understanding
Sixty mathematical terms, each given plainly, linked by what they need.
Grokking Constellation Network
Thirty-two ideas across physics and mathematics, joined where one becomes another.
Morpho-Space: The Shape of a Word
It is not language that fails us — it is we who fail language. Watch mathematical terms constrain configuration space in real time.
