Topology and Surfaces
This topic is about how shapes keep secrets while bending.
Explore the main idea
Placeholder text: this section will explain how the main tool works, what the user can change, and what they should notice as the visual responds.
Placeholder text: this section will connect the tool back to the wider topic, showing how the same mathematical idea appears in related projects and real situations.
About this topic
Topology studies properties of shape that survive stretching, bending and deformation without cutting or gluing.
This section should feel hands-on: twist, cut, classify and look for the property that refuses to change.
Explore this through mobius strips, surfaces and orientation, knots, tangles and invariants, euler characteristic and holes.
Further exploration
Explore next: Euler characteristic
Look up: Mobius strips and orientability
Try searching for: knot invariants