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Video Definition 20--3D Geometry--Horizontal Cross-Section of an Antiprism

Horizontal Cross-Section of an Antiprism

Topic

3D Geometry

Definition

A horizontal cross-section of an antiprism is the intersection of the antiprism with a horizontal plane, resulting in a polygon.

Description

Horizontal cross-sections of an antiprism provide insights into the antiprism's complex structure. Depending on the plane's position, the resulting shape can vary, offering a unique perspective on the antiprism's geometry. This concept is useful in fields like architecture and design, where polyhedral shapes are used to create innovative structures. In math education, studying cross-sections of antiprisms helps students understand the relationship between two-dimensional and three-dimensional geometry, enhancing their spatial reasoning skills. For example, a horizontal cross-section of an antiprism can result in a polygon that illustrates the shape's symmetry and complexity.

Horizontal cross-section of an Anitprism
Think of the floors of 1 World Trade Center in NYC as the 
horizontal cross sections of an antiprism.

For a complete collection of terms related to 3D Geometry click on this link: 3D Geometry Video Collection.

Common Core Standards CCSS.MATH.CONTENT.5.MD.C.3
Duration 1 minutes
Grade Range 4 - 6
Curriculum Nodes Geometry
    • 3D Geometry
        • 3-Dimensional Figures
Copyright Year 2024
Keywords three-dimensional geometry, 3d Geometry, defnitions, glossary term