Question

Write a number that represents triangular as well as square patterns.

Answer 1

There is a number $36$ that can be represented as square and triangle.

Triangle pattern.

$$\begin{gathered} \mathbf{}\mathbf{}\mathbf{.} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.} \\ \mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.} \\ \mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.} \\ \mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.}\mathbf{}\mathbf{.} \end{gathered}$$

Square

$$\begin{gathered} \mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.} \\ \mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.} \\ \mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.} \\ \mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.} \\ \mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.} \\ \mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.}\mathbf{}\mathbf{}\mathbf{.} \end{gathered}$$