Cube3D 立方体数理01Published
Physics · Primary school / Middle school
Law of reflection
Knowledge points：Incidence angle; reflection angle; normal
Planned interaction：Drag a ray and mirror to measure both angles
Open published experiment ↗ · Learning noteCUBE3D / ROADMAP · 2026-11-05 — 2027-02-02
The next 90 experiments
One new interactive experiment is the daily target. Published entries can be opened; other entries are proposed topics and target dates. Each release depends on model, interaction and access checks.
90 candidates · 6 subjects · 3 school stages · 1 published
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02Planned
Maths · Primary school
Equivalent fractions
Knowledge points：Unit fractions; equivalence; common denominators
Planned interaction：Partition strips and disks to compare equal proportions
03Planned
Physics · Middle school / High school
What changes a pendulum period?
Knowledge points：Length; amplitude; period
Planned interaction：Change length and initial angle and time oscillations
04Planned
Maths · Primary school / Middle school
Percentages and discounts
Knowledge points：Percent; reference value; successive discounts
Planned interaction：Compare single and successive discounts with a bar
05Planned
Physics · High school
Mass on a spring
Knowledge points：Restoring force; elastic energy; period
Planned interaction：Change mass and stiffness and trace motion and energy
06Planned
Maths · Primary school / Middle school
Angles inside a triangle
Knowledge points：Interior angles; straight angle; invariance
Planned interaction：Move vertices and arrange angles along a straight line
07Planned
Physics · Middle school / High school
Refraction and Snell's law
Knowledge points：Refractive index; refraction angle; interface
Planned interaction：Select media and vary a ray at their interface
08Planned
Maths · Primary school / Middle school
Sharing in a ratio
Knowledge points：Ratio; parts; proportional relationships
Planned interaction：Distribute blocks by changing totals and ratios
09Planned
Physics · Middle school / High school
Heat conduction
Knowledge points：Temperature difference; conduction; equilibrium
Planned interaction：Compare temperature profiles along rods
10Planned
Maths · Middle school / High school
Unfolding a cone
Knowledge points：Slant height; sector; arc length
Planned interaction：Unroll a cone and compare arc and circumference
11Planned
Physics · Middle school
Average speed and distance-time graphs
Knowledge points：Distance; time; average speed
Planned interaction：Set segment speeds and plot distance against time
12Planned
Maths · Primary school / Middle school
Coin tosses and probability
Knowledge points：Random events; frequency; long-run behavior
Planned interaction：Increase trials and compare relative-frequency curves
13Planned
Physics · Middle school
Pressure and contact area
Knowledge points：Force; area; pressure
Planned interaction：Change contact area under a fixed load
14Planned
Maths · Primary school / Middle school
Cuboid nets and surface area
Knowledge points：Dimensions; matching faces; surface area
Planned interaction：Unfold a cuboid and change its three dimensions
15Planned
Physics · Middle school / High school
Specific heat capacity
Knowledge points：Heat; mass; temperature change
Planned interaction：Heat equal masses and compare temperature changes
16Planned
Maths · Middle school
Slope and intercept
Knowledge points：Slope; intercept; rate of change
Planned interaction：Drag points to connect a line with its equation
17Planned
Physics · Primary school / Middle school
Pinhole images
Knowledge points：Straight rays; inverted image; similar triangles
Planned interaction：Adjust object and screen distances and trace rays
18Planned
Maths · Primary school / Middle school
Where does circle area come from?
Knowledge points：Radius; pi; area rearrangement
Planned interaction：Rearrange sectors and increase their number
19Planned
Physics · Middle school / High school
Static and kinetic friction
Knowledge points：Static limit; kinetic friction; forces
Planned interaction：Increase pulling force until a block slides
20Planned
Maths · Middle school
Pythagorean area puzzle
Knowledge points：Right triangles; squares; area conservation
Planned interaction：Rearrange pieces to compare squares on the sides
21Planned
Physics · High school
Horizontal projectile motion
Knowledge points：Component motion; gravity; trajectory
Planned interaction：Change launch speed and height and compare components
22Planned
Maths · Primary school / Middle school
Equations on a balance
Knowledge points：Equality; unknowns; equivalent operations
Planned interaction：Apply matching operations to a balance
23Planned
Physics · Middle school / High school
Liquid pressure and depth
Knowledge points：Density; depth; hydrostatic pressure
Planned interaction：Move a pressure probe through different liquids
24Planned
Maths · Primary school / Middle school
Areas of composite shapes
Knowledge points：Decomposition; rearrangement; adding areas
Planned interaction：Cut and rearrange shapes to compare solutions
25Planned
Physics · Middle school
Pitch and loudness
Knowledge points：Frequency; amplitude; waveform
Planned interaction：Adjust frequency and amplitude with optional audio
26Planned
Maths · Primary school / Middle school
Mean, median and outliers
Knowledge points：Central tendency; outliers; distribution
Planned interaction：Drag data points and compare summary statistics
27Planned
Physics · High school
Total internal reflection
Knowledge points：Critical angle; index; propagation conditions
Planned interaction：Vary a ray leaving a higher-index medium
28Planned
Maths · Middle school / High school
Exponential growth and doubling
Knowledge points：Doubling; exponents; comparison with linear growth
Planned interaction：Compare linear and exponential growth curves
29Planned
Physics · High school
Beats between nearby frequencies
Knowledge points：Superposition; frequency difference; envelope
Planned interaction：Combine nearby frequencies and inspect the envelope
30Planned
Maths · High school
The unit circle and trigonometry
Knowledge points：Angles; radians; sine and cosine
Planned interaction：Rotate a point and plot its projections
31Planned
Physics · High school
Gas volume and pressure
Knowledge points：Constant temperature; volume; inverse pressure
Planned interaction：Move a sealed piston and observe pressure
32Planned
Maths · Middle school / High school
Arithmetic sequences and sums
Knowledge points：Common difference; nth term; paired sums
Planned interaction：Change terms and arrange blocks into paired sums
33Planned
Physics · High school
Temperature and gas pressure
Knowledge points：Absolute temperature; fixed volume; particle motion
Planned interaction：Heat a fixed volume and compare collisions and pressure
34Planned
Maths · Middle school / High school
Permutations and combinations
Knowledge points：Order; selection; counting
Planned interaction：Arrange colored objects and select unordered groups
35Planned
Physics · High school
Heat engines and energy flow
Knowledge points：Heat input; work; efficiency
Planned interaction：Adjust heat flows and check an energy diagram
36Planned
Maths · Middle school
Angles inside polygons
Knowledge points：Diagonals; triangulation; angle sum
Planned interaction：Triangulate polygons and compare angle sums
37Planned
Physics · High school
One-dimensional collisions
Knowledge points：Momentum; restitution; energy
Planned interaction：Change masses and speeds before a collision
38Planned
Maths · High school
Adding and resolving vectors
Knowledge points：Direction; components; parallelogram rule
Planned interaction：Drag vectors and compare addition methods
39Planned
Physics · High school
Circular motion
Knowledge points：Angular speed; tangential speed; centripetal acceleration
Planned interaction：Change radius and speed and display vectors
40Planned
Maths · High school
From secants to derivatives
Knowledge points：Rate of change; secants; limits
Planned interaction：Bring two points together to investigate slope
41Planned
Physics · High school
Point charges and electric fields
Knowledge points：Field direction; superposition; strength
Planned interaction：Place charges and move a field probe
42Planned
Maths · High school
Integration as accumulated area
Knowledge points：Intervals; Riemann sums; signed area
Planned interaction：Increase the number of rectangles under a curve
43Planned
Physics · High school
Capacitor charging and discharging
Knowledge points：Time constant; charge; voltage
Planned interaction：Change resistance and capacitance and trace curves
44Planned
Maths · High school
Inverse functions and reflection
Knowledge points：Inputs and outputs; domain; reflection
Planned interaction：Swap coordinates and compare inverse graphs
45Planned
Physics · Middle school / High school
Magnetic fields from currents
Knowledge points：Field lines; current direction; coils
Planned interaction：Reverse current and move a compass around coils
46Planned
Maths · Middle school
Similar triangles and scale
Knowledge points：Scale factor; corresponding sides; area ratio
Planned interaction：Scale triangles and compare lengths and areas
47Planned
Physics · Middle school / High school
Electromagnetic induction
Knowledge points：Magnetic flux; induced direction; rate of change
Planned interaction：Move a magnet through a coil and read the signal
48Planned
Maths · High school
Geometric sequences and sums
Knowledge points：Common ratio; nth term; partial sums
Planned interaction：Change the common ratio and visualize partial sums
49Planned
Physics · High school
Interference from two sources
Knowledge points：Phase difference; superposition; interference
Planned interaction：Move two sources and inspect the amplitude pattern
50Planned
Maths · High school
Optimizing an open box
Knowledge points：Geometric modeling; functions; extrema
Planned interaction：Change corner cuts and link the net to a volume graph
51Planned
Physics · Middle school / High school
Correcting near and far sight
Knowledge points：Focus; image position; corrective lenses
Planned interaction：Adjust a simplified eye and corrective lenses
52Planned
Maths · High school
Half-life and exponential decay
Knowledge points：Decay ratio; randomness; half-life
Planned interaction：Compare random events with a large-population curve
53Planned
Physics · High school
Gravity and escape speed
Knowledge points：Gravity; potential energy; escape conditions
Planned interaction：Vary body mass and radius and compare launches
54Planned
Maths · High school
Binomial trials
Knowledge points：Independent trials; success probability; distribution
Planned interaction：Compare repeated trials with a theoretical distribution
55Planned
Physics · Middle school / High school
Hydraulic pressure transmission
Knowledge points：Pressure transmission; piston area; displacement
Planned interaction：Change piston areas and compare forces and displacements
56Planned
Maths · Primary school / Middle school
Integers on a number line
Knowledge points：Opposites; absolute value; addition and subtraction
Planned interaction：Move signed arrows along a number line
57Planned
Physics · Middle school / High school
Diffusion and random motion
Knowledge points：Concentration; random motion; diffusion
Planned interaction：Remove a partition and compare mixing at different temperatures
58Planned
Maths · Primary school / Middle school
Factors and multiples
Knowledge points：Common factors; multiples; factorization
Planned interaction：Arrange arrays to find common grouping patterns
59Planned
Physics · Middle school
Images in a plane mirror
Knowledge points：Virtual image; equal distances; viewing direction
Planned interaction：Move an object and observer and extend reflected rays
60Planned
Maths · Middle school
Inverse proportion
Knowledge points：Constant product; hyperbola; domain
Planned interaction：Resize a fixed-area rectangle and plot its dimensions
61Planned
Chemistry · Middle school / High school
Acidity and pH
Knowledge points：pH; logarithmic scale; indicators
Planned interaction：Compare virtual samples and indicator colors
62Planned
Chemistry · Middle school / High school
Solubility and saturation
Knowledge points：Temperature; saturation; crystallization
Planned interaction：Change temperature and solute amount to explore saturation
63Planned
Chemistry · Middle school / High school
Atoms and isotopes
Knowledge points：Protons; neutrons; electrons
Planned interaction：Add particles to distinguish elements, isotopes and ions
64Planned
Chemistry · Middle school / High school
Balancing chemical equations
Knowledge points：Atom conservation; coefficients; ratios
Planned interaction：Change coefficients and count each type of atom
65Planned
Chemistry · High school
Moles and reaction ratios
Knowledge points：Moles; stoichiometry; limiting reactant
Planned interaction：Change reactant amounts and track leftovers and products
66Planned
Chemistry · Middle school / High school
Factors affecting reaction rate
Knowledge points：Concentration; temperature; surface area
Planned interaction：Compare effective collisions in a simplified particle model
67Planned
Chemistry · Middle school / High school
Dilution and concentration
Knowledge points：Solute; volume; concentration relationships
Planned interaction：Add virtual water while tracking conserved solute
68Planned
Chemistry · Middle school / High school
Separating mixtures
Knowledge points：Solubility; boiling point; separation methods
Planned interaction：Choose separation methods for virtual mixtures
69Planned
Chemistry · High school
Endothermic and exothermic changes
Knowledge points：System; surroundings; energy change
Planned interaction：Compare energy diagrams and virtual temperature changes
70Planned
Chemistry · High school
A particle model of electrolysis
Knowledge points：Electrodes; ion motion; products
Planned interaction：Track ions and balanced products in a specified virtual system
71Planned
Biology · Middle school
Microscopes and magnification
Knowledge points：Magnification; field of view; scale bars
Planned interaction：Change virtual objectives and compare fields of view
72Planned
Biology · Middle school / High school
Osmosis in cells
Knowledge points：Concentration difference; membranes; water movement
Planned interaction：Change conditions across a membrane and observe net water movement
73Planned
Biology · High school
Transport across membranes
Knowledge points：Diffusion; permeability; active transport
Planned interaction：Compare particles, channels and transport conditions
74Planned
Biology · Middle school / High school
Limiting factors in photosynthesis
Knowledge points：Light; carbon dioxide; limiting factors
Planned interaction：Change one condition at a time and compare simplified rates
75Planned
Biology · Middle school / High school
Gas exchange in the lungs
Knowledge points：Gradients; surface area; diffusion distance
Planned interaction：Change simplified alveolar parameters and compare exchange trends
76Planned
Biology · Middle school / High school
Mendelian inheritance
Knowledge points：Alleles; genotype; probability
Planned interaction：Combine parental alleles and inspect offspring probabilities
77Planned
Biology · High school
Population growth and carrying capacity
Knowledge points：Growth rate; carrying capacity; feedback
Planned interaction：Change resource limits and compare population models
78Planned
Biology · Middle school / High school
Food webs and energy transfer
Knowledge points：Trophic levels; energy; ecological links
Planned interaction：Build a food web and explore simplified parameter changes
79Planned
Biology · High school
Enzyme activity and conditions
Knowledge points：Temperature; pH; substrate concentration
Planned interaction：Change one variable and compare simplified activity curves
80Planned
Biology · Middle school
Two circuits of blood circulation
Knowledge points：Pulmonary circuit; systemic circuit; direction
Planned interaction：Trace schematic flow through chambers and vessels
81Planned
Space · Primary school / Middle school
Earth's rotation and day and night
Knowledge points：Rotation; illumination; day-night boundary
Planned interaction：Rotate Earth and follow daylight at a marked location
82Planned
Space · Primary school / Middle school
Seasons and axial tilt
Knowledge points：Axial tilt; solar altitude; seasons
Planned interaction：Change tilt and compare sunlight in both hemispheres
83Planned
Space · Primary school / Middle school
Why the Moon has phases
Knowledge points：Sun-Earth-Moon positions; illumination; viewpoint
Planned interaction：Move the Moon and compare space and ground views
84Planned
Space · Middle school
Solar and lunar eclipses
Knowledge points：Shadows; orbital tilt; alignment
Planned interaction：Adjust alignment and tilt to identify eclipse conditions
85Planned
Space · High school
Stellar parallax and distance
Knowledge points：Parallax angle; baseline; distance
Planned interaction：Switch viewpoints and compare apparent stellar shifts
86Planned
Space · Middle school / High school
Latitude and daylight duration
Knowledge points：Latitude; date; daylight duration
Planned interaction：Select date and latitude to view daylight duration
87Planned
Earth science · Primary school / Middle school
Paths through the water cycle
Knowledge points：Evaporation; condensation; precipitation
Planned interaction：Change simplified conditions and track water between reservoirs
88Planned
Earth science · Middle school
The rock cycle
Knowledge points：Rock types; weathering; melting
Planned interaction：Choose processes and follow changes between rock types
89Planned
Earth science · Middle school / High school
Plate boundaries
Knowledge points：Divergence; convergence; transform boundaries
Planned interaction：Move two plates and compare boundary types
90Planned
Earth science · High school
Earth's energy balance
Knowledge points：Albedo; radiation; simplified equilibrium
Planned interaction：Change albedo and model parameters to compare energy flows
School stages are exploration guides, not claims of alignment with a particular national curriculum. Dates may change when quality checks need more time. The existing 12 labs remain in the experiment directory.