3 problems

Let $R(\pi/3,a)$ denote the trapezoid in the paper's notation, with parameter $a$. $R(\pi/3,a)$ reptile conjecture. If … is a reptile, then … This is a specific classification conj…

Let $T$ be a unit trapezoid, and let $\theta(T)$ and $\psi(T)$ denote the angle parameters associated with $T$. For a right trapezoid, define $\psi(T)=\pi/2$. Rational-angle conjec…

Let $T$ be a unit trapezoid, and let $\mathbf{ub}(T)$ denote the set of its relevant upper bounds. Unit trapezoid upper-bound conjecture. If $T$ is a reptile, then … This conjectur…