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Can someone please help me with two questions?

 

Are all equilateral octagons equiangular? 

Are all equiangular octagons equilateral?

 

Thx! laugh

 Dec 14, 2015

Best Answer 

 #1
avatar+6251 
+10

 

Are all equilateral octagons equiangular? 

 

No.  Imagine the vertices of a regular octagon are hinged joints.  Now deform it so it's no longer equiangular.

Are all equiangular octagons equilateral?

 

No.  Make a regular octagon.  Now equally stretch any pair of opposite sides.

 Dec 14, 2015
edited by Rom  Dec 14, 2015
 #1
avatar+6251 
+10
Best Answer

 

Are all equilateral octagons equiangular? 

 

No.  Imagine the vertices of a regular octagon are hinged joints.  Now deform it so it's no longer equiangular.

Are all equiangular octagons equilateral?

 

No.  Make a regular octagon.  Now equally stretch any pair of opposite sides.

Rom Dec 14, 2015
edited by Rom  Dec 14, 2015

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