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README.md
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## Task Overview
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Rigid Body Newton's Collision of Momentum 1 Metal
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Cradle closely fitted transfer
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balls
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Rigid Body Wall Breaking Collision of a Large-scale 1 Wood
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wrecking ball dense collisions
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with a wall
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Rigid Body Pendulum Oscillation of a Periodic motion 1 Metal
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ball
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Flexible Rope Winding Winding of a Self-collision 1 Rubber
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Cable rope and stretch
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modulus
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Textile Textile Tensile Stretch modulus 1 R, S, U, O,
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Stretching deformation of a L, N
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textile
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Textile Textile Natural sagging Bending modulus 1 R, S, U, O,
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Bending of a textile L, N
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Textile Textile Fluttering of a Motion under 1 R, S, U, O,
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Flinging textile locally high L, N
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acceleration
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Textile Funnel Passage of Collision, 1 R, S, U, O,
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textiles through friction L, N
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a hole
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Textile Rotating Ball Motion of a Static and 1 R, S, U
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textile driven kinetic friction
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by a rotating
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ball
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Textile Tablecloth Pulling a Static and 1 Wood,
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Pulling textile from kinetic friction Plastic,
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beneath rigid Metal
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objects
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Volumetric Foam Stretching of an Stretching 1 Soft, Hard
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Deformable Stretching elastic cuboid modulus
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Body
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Volumetric Foam Compression of Compression 1 Soft, Hard
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Deformable Compressing an elastic modulus
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Body cuboid
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Volumetric Foam Shearing Shearing of an Shear modulus 1 Soft, Hard
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Deformable elastic cuboid
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Body
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Volumetric Foam Twisting Twisting of an Twisting modulus 1 Soft, Hard
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Deformable elastic cuboid
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Body
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Volumetric Foam Bending Bending of an Bending modulus 1 Soft, Hard
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Deformable elastic cuboid
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Body
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Volumetric Stick-Stack Sliding of an Static and 1 Soft, Hard
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Deformable elastic rod on a kinetic friction
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Body plane
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Volumetric Cantilever Free hanging of Coupling with a 1 Soft, Hard
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Deformable Beam an elastic large stiffness
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Body cantilever beam ratio
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### Textile Material Abbreviations
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- **R** --- Rayon
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- **S** --- Satin
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- **U** --- Uniform cloth
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- **O** --- Oxford fabric
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- **L** --- Synthetic leather
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- **N** --- Nylon taslan
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## Physical Regimes
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impact, periodic
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motion
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Flexible Cable 1 Self-collision,
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stretching
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Textile 6 Stretching, bending,
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friction,
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high-acceleration
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dynamics
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Volumetric Deformable 7 Stretching,
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Body compression, shear,
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twisting, bending,
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friction
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------------------------------------------------------------------------
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## Dataset Contents
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## Task Overview
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GAUGE contains **22 controlled task families** spanning rigid bodies, flexible cables, textiles, and volumetric deformable objects.
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| Category | Task | Description | Evaluation | Subtasks | Material |
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| --- | --- | --- | --- | ---: | --- |
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| Rigid Body | Slope Contact | Fall of a trirectangular tetrahedron | Slope collisions | 1 | Wood, Plastic |
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| Rigid Body | Nonsmooth Contact | Fall of wedges and pyramids | Codimensional collisions | 3 | Wood, Plastic |
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| Rigid Body | Slope Slider | Slide of a cube on a slope | Static and kinetic friction | 3 | Wood, Plastic, Metal |
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| Rigid Body | Turntable | Slide of a cube on a turntable | Static and kinetic friction in a non-inertial frame | 3 | Wood, Plastic, Metal |
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| Rigid Body | Bouncing Ball | Fall and bouncing of a ball | Rapid impact | 1 | Rubber |
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| Rigid Body | Newton's Cradle | Collision of closely fitted balls | Momentum transfer | 1 | Metal |
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| Rigid Body | Wall Breaking | Collision of a wrecking ball with a wall | Large-scale dense collisions | 1 | Wood |
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| Rigid Body | Pendulum | Oscillation of a ball | Periodic motion | 1 | Metal |
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| Flexible Cable | Rope Winding | Winding of a rope | Self-collision and stretch modulus | 1 | Rubber |
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| Textile | Textile Stretching | Tensile deformation of a textile | Stretch modulus | 1 | R, S, U, O, L, N |
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| Textile | Textile Bending | Natural sagging of a textile | Bending modulus | 1 | R, S, U, O, L, N |
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| Textile | Textile Flinging | Fluttering of a textile | Motion under locally high acceleration | 1 | R, S, U, O, L, N |
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| Textile | Funnel | Passage of textiles through a hole | Collision, friction | 1 | R, S, U, O, L, N |
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| Textile | Rotating Ball | Motion of a textile driven by a rotating ball | Static and kinetic friction | 1 | R, S, U |
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| Textile | Tablecloth Pulling | Pulling a textile from beneath rigid objects | Static and kinetic friction | 1 | Wood, Plastic, Metal |
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| Volumetric Deformable Body | Foam Stretching | Stretching of an elastic cuboid | Stretching modulus | 1 | Soft, Hard |
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| Volumetric Deformable Body | Foam Compressing | Compression of an elastic cuboid | Compression modulus | 1 | Soft, Hard |
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| Volumetric Deformable Body | Foam Shearing | Shearing of an elastic cuboid | Shear modulus | 1 | Soft, Hard |
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| Volumetric Deformable Body | Foam Twisting | Twisting of an elastic cuboid | Twisting modulus | 1 | Soft, Hard |
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| Volumetric Deformable Body | Foam Bending | Bending of an elastic cuboid | Bending modulus | 1 | Soft, Hard |
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| Volumetric Deformable Body | Stick-Stack | Sliding of an elastic rod on a plane | Static and kinetic friction | 1 | Soft, Hard |
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| Volumetric Deformable Body | Cantilever Beam | Free hanging of an elastic cantilever beam | Coupling with a large stiffness ratio | 1 | Soft, Hard |
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**Textile material abbreviations:** R = Rayon, S = Satin, U = Uniform cloth, O = Oxford fabric, L = Synthetic leather, N = Nylon taslan.
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## Physical Regimes
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| Physical Regime | Number of Task Families | Representative Properties |
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| -------------------- | ---------------------------- | --------------------- |
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| Rigid Body | 8 | Collision, friction, momentum transfer, impact, periodic motion |
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| Flexible Cable | 1 | Self-collision, stretching |
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| Textile | 6 | Stretching, bending, friction, high-acceleration dynamics |
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| Volumetric Deformable Body | 7 | Stretching, compression, shear, twisting, bending, friction |
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## Dataset Contents
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