# 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:

**The Kite**

The Pentagons

and more…

**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…