A polyhedron must meet three conditions in order to be regular: All of the faces are regular...

70.2K

Verified Solution

Question

Basic Math

A polyhedron must meet three conditions in order to beregular:

All of the faces are regular polygons;

All of the faces are congruent (identical);

All of the vertex points/arrangements are congruent(identical).

Try to find three nonregular polyhedra, each of which violates adifferent one of these conditions. In other words, one of themshould meet (1) and (2) but not (3); one should meet (1) and (3),but not (2); one should meet (2) and (3) but not (1). Describe eachpolyhedron using words:

number of faces and the polygons forming the faces

number of vertices and their vertex arrangements

number of edges

** Make sure to state which condition is being violated in eachcase

Answer & Explanation Solved by verified expert
4.3 Ratings (913 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students