Object with circle, square, and triangle cross sections?

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SUMMARY

The discussion centers around identifying an object that appears as a circle, square, and triangle from different perspectives. A paper cup is highlighted as a prime example, showcasing its circular rim from above, triangular shape from the sides, and square base when viewed from the front. Additionally, the concept of modifying a cylinder through angled cuts is suggested to achieve similar cross-sectional views. This illustrates the geometric versatility of everyday objects.

PREREQUISITES
  • Understanding of basic geometric shapes and their properties
  • Familiarity with cross-sectional views in geometry
  • Knowledge of angle cuts and their effects on shapes
  • Concept of perspective in visual representation
NEXT STEPS
  • Explore the geometric properties of cylinders and their cross-sections
  • Research techniques for creating angled cuts in 3D objects
  • Investigate the use of everyday objects in illustrating geometric concepts
  • Learn about the application of geometry in design and art
USEFUL FOR

Students of geometry, educators teaching geometric concepts, artists exploring shape representation, and designers interested in the visual impact of objects.

yanyin
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does anyone know an object, when viewed from 3 differents views, looks like a circle, a square, and a triangle?
 
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You could make one.

Take a cylinder and make a cut at an angle. Make a few more cuts at opportune places. Continue until you get what you want.

cookiemonster
 
Originally posted by yanyin
does anyone know an object, when viewed from 3 differents views, looks like a circle, a square, and a triangle?

It's a paper cup with a circular rim and a straight line bottom. It's circular if viewed from above, a triangle if viewed from, say, the north or south side and square if viewed from the east or west side. Sometimes used to illustrate the Christian notion of the trinity.
 

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