A simplicial set is called finite if it has only a finite number of non degenerate simplicies (or equivalently, if its number of $n$-simplicies grows polynomially with $n$). In an answer to a previous question of mine Exponentiation in finite simplicial sets it was shown that for any $n\geq 4$ the simplicial set $(\Delta_n/\partial \Delta_n)^{\Delta_1}$ is not finite. Following one of the comments there, I wanted to ask:

Is the simplicial set $(\Delta_3/\partial \Delta_3)^{\Delta_1}$ finite?

A simplicial set is called finite if it has only a finite number of non degenerate simplicies (or equivalently, if its number of $n$-simplicies grows polynomially with $n$). In an answer to a previous question of mine Exponentiation in finite simplicial sets it was shown that for any $n\geq 4$ the simplicial set $(\Delta_n/\partial \Delta_n)^{\Delta_1}$ is not finite. Following one of the comments there, I wanted to ask:

Is the simplicial set $(\Delta_3/\partial \Delta_3)^{\Delta_1}$ finite?

In an answer to a previous question of mine Exponentiation in finite simplicial sets it was shown that for any $n\geq 4$ the simplicial set $(\Delta_n/\partial \Delta_n)^{\Delta_1}$ is not finite. Following one of the comments there, I wanted to ask:

Is the simplicial set $(\Delta_3/\partial \Delta_3)^{\Delta_1}$ finite?

A simplicial set is called finite if it has only a finite number of non degenerate simplicies (or equivalently, if its number of $n$-simplicies grows polynomially with $n$). In an answer to a previous question of mine Exponentiation in finite simplicial sets it was shown that for any $n\geq 4$ the simplicial set $(\Delta_n/\partial \Delta_n)^{\Delta_1}$ is not finite. Following one of the comments there, I wanted to ask:

Is the simplicial set $(\Delta_3/\partial \Delta_3)^{\Delta_1}$ finite?