Conceiving digital musical instruments might be challenging in terms of spectator accessibility. Depending on the interface and the complexity of the software used as a transition between the controller and sound, a musician performance can be totally opaque for the audience and lose part of its interest. This paper examines the possibility of adding a visual feedback to help the public underst...

If a1, a2, . . . , an are nonnegative real numbers and fj(x) = √ aj + x, then f1 ◦ f2 ◦ · · · ◦ fn(0) is a nested radical with terms a1, . . . , an. If it exists, the limit as n → ∞ of such an expression is a continued radical. We consider the set of real numbers S(M) representable as a continued radical whose terms a1, a2, . . . are all from a finite set M . We give conditions on the set M for...

We construct a geometrically self-similar Cantor set $X$ of genus $2$ in $\mathbb{R}^3$. This construction is the first for which local shown to be at every point $X$. As an application, we construct, also time, uniformly quasiregular mapping $f:\mathbb{R}^3 \to \mathbb{R}^3$ Julia $J(f)$ set.