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My friend was fiddling around on the triangle when he created an irregular heptagon with it not able to tessellate.

enter image description here

He then asked me if I could create an 11 sided irregular polygon that is able to tessellate by changing a side AB. He told me there was 3 and that you can make 2 more without necessarily using the side AB. I have absolutely no idea what they are. Can I please have some help?

Stevo
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1 Answers1

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For: "create an 11 sided irregular polygon that is able to tessellate by changing a side AB":

Something I'd like to call projection

With Axis of Symmetry

which then becomes:

Tessellation shape

where I just a projected a duplicate triangle, using the axis of symmetry between side AB (to be changed) and side AC (the side with tessellation to be matched with). And there you have your shape. There are more you can make, take this example as a hint.

For: "you can make 2 more without necessarily using the side AB":

Here's another hint:

Second Axis of Symmetry

Good Luck!

Dstarred
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  • I am not quite sure what you mean with the last hint. How does that affect the overall triangle? @Sniping Poodle – Stevo Aug 08 '21 at 07:40
  • The last hint is the axis of symmetry for side CB, since that is the one you can change other than AB, relative to your question of: "2 more without necessarily using the side AB" – Dstarred Aug 08 '21 at 07:42
  • Do what I did in the answer above but this time for side CB instead of AB. – Dstarred Aug 08 '21 at 07:44