The one-handed saxophone can be played with a right hand only. Thanks to a unique mechanism all the keys can be played.
here is the Youtube promo film for the one hand saxophone.
This is a view down the back of the saxophone. You can see clearly the white tubing carrying the red control cables.
Here the sax entirely.looks pretty much like an ordinary instrument.
Here are the right thumb keys. Top to bottom: octave lever, thumbrest, lowB, low bB. On the left you can see the rollors and control cables for operating the upper stack keys.