Geometric Cross-Sections Explorer

Discover the fascinating plane figures that can be obtained by slicing geometric solids at different angles. Select a solid to see the possible cross-sections.

Geometric Solids

Cube

Slicing a cube can produce squares, rectangles, triangles, and hexagons.

Sphere

All cross-sections of a sphere are circles of varying sizes.

Cone

Depending on the angle, you can get circles, ellipses, parabolas, or hyperbolas.

Cylinder

Slicing a cylinder can produce circles, ellipses, or rectangles.

Pyramid

Cross-sections include triangles, squares, and other polygons.

Torus

Slicing a torus can produce circles, two separate circles, or annuli.

Cross-Sections of a Cube

Square

Slice parallel to a face

Rectangle

Slice perpendicular to a face

Triangle

Slice through three faces meeting at a vertex

Hexagon

Slice through all six faces

Each geometric solid produces unique cross-sectional shapes when sliced at different angles. Explore the mathematics of slicing to discover more!