  Dilaton gravity with the form fields is known to possess dyon solutions with
two horizons for the discrete ("triangular") values of the dilaton coupling
constant $a = \sqrt{n (n + 1)/2}$. From this sequence only $n = 1,\, 2$ members
were known analytically so far. We present two new $n = 3,\, 5$ triangular
solutions for the theory with different dilaton couplings $a,\, b$ in electric
and magnetic sectors in which case the quantization condition reads $a b = n (n
+ 1)/2$. These are derived via the Toda chains for $B_2$ and $G_2$ Lie
algebras. Solutions are found in the closed form in general $D$ space-time
dimensions. They satisfy the entropy product rules and have negative binding
energy in the extremal case.
