THE OBJECT COLLECTION
40 editable models. Every curve has a story, every solid has a proof.
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Foundation
Stack equal circular disks to make a cylinder.
Matches the independent formula: 50.26548 cm³
Connect disks to πr²h
Explain the one-third factor
Integrate a changing radius
Derive the sphere formula
Use symmetry to halve a volume
Set bounds from cap depth
Integrate between two cutting planes
Compare cone and paraboloid volumes
Scale a spherical solid
Use washers with two curved boundaries
Integrate a quadratic radius squared
Subtract an inner disk
Subtract similar cones
Split the integral where the cavity ends
Use two curved washer radii
Build volume from equal squares
Integrate triangular areas
Derive the pyramid volume
Use a changing rectangle height
Distinguish diameter from radius
Use elliptical areas
Derive the diameter-based area
Generalize polygonal cross-sections
Measure material around a cavity
Include the closed base of a vessel
Integrate a smooth vessel profile
Join body, shoulder, and neck
Combine a foot, stem, and hollow bowl
Combine a frustum with a pipe
Measure material in a tapered shell
Use symmetry around a narrow waist
Add a cylinder and two hemispheres
Add adjacent volumes
Interpret discontinuous profiles
Build area from a variable aspect ratio
Explore a finite-volume infinite solid
Use both parallel bases in the area
Distinguish a leg from a hypotenuse
Use distinct inner and outer profiles