Asked by jj

Will a non-regular acute triangle tessellate the plane?
How do you know?

Answers

Answered by MathMate
Any acute triangle can form a parallelogram when fitted to another rotated by 180°.
So can it tessellate the plane?
Answered by Clair
yes, because it would form a pattern without gaps or overlap.
Answered by Clair
but what is a non-regular acute triangle ?
Answered by MathMate
I suppose non-regular means that the angles are neighter 45, 30, 60, 90 or any other round number.
Acute means all angles are below 90.
Answered by MathMate
neither
Answered by jj
thanks to both of you for your help!
Answered by MathMate
You're welcome!
By the way, which level of math are you doing?
Answered by jj
Geometry, I will put that in the subject box next time!
Answered by MathMate
That would be a good idea!
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