16 September 2013

Solving Octahedran tessellation problem


In this page we will discuss an easy way for solving quickly Octahedron tessellation problem. Similar type of geometric object tessellation can be solved by the method that I'm going to apply here. This type of questions appear frequently in CEED exams. 

I took the below example to explain the method in-detail. The question may be asked like that.




By close observation you should find that at each corner there will be four triangles meeting at the junction. So, when we unfold or tessellate the solid octahedron; you should count four or less than four triangle at each corner or edge point as shown in the below pictures for the first option.



Inspect each corner for the number of triangles meeting and ensure that at no corner there will be more than four triangles. If so; that option should probably be the wrong tessellation.  


See the corner - check for third option in the below picture. You will find that at corner A the concept matches, but at corner B you will see five triangles meeting. Hence the wrong unfolded view or tessellation is third option. 




Try this for second and fourth options and you may find that only four or less than four triangles are meeting at each corner; thus proving as possible tessellations.


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17 comments:

  1. Replies
    1. ya, need to clarify in net, thanks for noting ..... :)

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  2. Well is the method applicable to all problems

    ReplyDelete
    Replies
    1. Probably not to all problems but to many similar questions !

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  3. thankyou very much sir

    a great help for these questions

    ReplyDelete
  4. Where will i get tesselation problems of other figures such as dodecahedron and isodecahedron

    ReplyDelete
    Replies
    1. I haven't checked that, will inform once checked from the web.

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  5. I am unable to see the pdf of this file can any one help?

    ReplyDelete
    Replies
    1. There is no pdf version of this page !

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  6. I did not understand this part can u please explain again

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  7. Hi, I'm just going through previous year papers. i couldn't find solutions to CEED 2015 Part A in the blog.. Can i get the Answer key with explanations if possible?

    ReplyDelete
    Replies
    1. It's there in the answers section of this blog, here's the link

      Stuff You Look

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  8. can you send me the link for tessaellataion problems for more
    practice

    ReplyDelete
    Replies
    1. You can find some links in the resource section of this blog esp CEED and UCEED page.

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