Starting Triangle-Counting Riddles
My e-book “How to solve triangles counting riddles? ” starts
with detailed explanation about triangles-counting method
and about symmetries. Then it deals with some basic shapes.
For instance the Scottish Square.
How many triangles can you count in it?
It’s easy! Let’s sort & count them.
We can clearly see 4 simple triangles: A, B, C & D.
Each one of them is a quarter of the square.
But it’s not all. There are triangles which are made of 2 triangles adjacent to each other.
How many? I can see 4 pairs of them.
I used the letters to mark the basic ones and then count the bigger yellow ones:
A+B, A+C, D+B, D+C. That’s it!
Only 4 pairs are triangles. Look at it: The combination of B+C is not a triangle!
So, we discovered 4 triangles consisting of 2 basic triangles and the sum is:
4 basic triangles + 4 triangles consisting of 2 basic triangles = 4 + 4 = 8 triangles in total.
A whole chapter is dedicated to the multi-floor perfect triangles.
Yeah, the triangles which look like these:
From left: 1-floor, 2-floors, 3-floors, 4-floors…
How many triangles can you count in each of them?
Can you find connections between the number of floors in such a triangle and the number of triangles you can find in it? Check it out…
Part A of the book deals with some more basic shapes.
Let’s look at some of the shapes:
How many triangles can you count in them?
You can use the triangles counting worksheets prepared for this mission…
An addition in 2017: a new shape which you can count it’s triangles.
It is The Crown
How many triangles can you count here?
Write your answer to the Triangelog…