Monostatic bodies, such as the Gomboc in the picture, will roll around (like an inverted turtle) until they find the one orientation in which they are stable. (These objects are different from something like a weeble, or weighted top, in that they have uniform density).

This suggests a new form of domestic lighting. In today’s invention, an array of gombocs would be located on a metal tray. Each would contain a circuit with a small watch battery, an led and a pair of slightly protruding contacts at the stable basepoint on the ‘underside’. These contacts would act as a switch which would be closed by each body contacting the tray as it rolls through the stable position.

Any movement of the tray would set in motion all the oscillating gombocs, switching on and off their leds at the rolling frequency. This would produce an interesting light pattern in response eg to pulling a chair or a drawer out…or opening a door. Using bodies of different sizes or densities would add even more variety to the lighting patterns. Translucent bodies with embedded lights would be particularly attractive.

‘Footering’ is the term I use to describe when I’m all fingers and thumbs trying to engage the zip fastener of my winter coat. I’m always doing this, needless to say, when it’s winter and when the fingers and thumbs themselves are starting to freeze.

Today’s invention is an attempt to allow easier, even one-handed, zipping up.

The diagram shows a future zip ‘keeper’ with a pull tag on the left hand side. Each half of the keeper is shown in a different colour: one half would be permanently attached to each side of the zip.

When both halves of the keeper are grabbed in one hand, magnets on each of the meeting faces align them and join the bottom ends of the two sides of the zip together. This forces the two sets of zip teeth to mesh (the bottom-most ones may have to be created with slightly more open teeth engagement than normal, to allow this).

The zip can thus be sealed in the usual way, but with much less visual supervision and dexterity required.

Imagine a piece of delicate electronic equipment, which would be guaranteed to be fragile and vulnerable to dirt, yet which is then expected to be routinely forced through holes in plasterboard and along dust filled gaps between walls and floors.

Even though lots of kit is now wirelessly connected, the humble RJ-45 plug is still the lynchpin in many networks. Think about how long it takes to get one of these square-headed guys from A to B, only for it then to be found to be broken -mechanically or electrically, or both.

Today’s invention is a cap which fits over such a connector and which streamlines its passage through tight holes. This is made in a tough, flexible polymer and takes the shape of a long, thin tapering ‘nose’ with a low-friction coating. There would be a loop at the end of the nose to which a cable can be attached for dragging the cable behind it. The RJ-45 plug is sealed tightly within the nose, so that dust is excluded and the retaining tab can’t be broken off in transit.

Lots of countries demand that drivers under instruction advertise the fact by displaying eg an ‘L’ symbol or its equivalent. Why, I wondered, don’t we also insist on similar displays by those people who have incurred penalty points on their licences for poor or inconsiderate driving?

Today’s invention is a simple row of orange LEDs mounted in the back of everyone’s car. This would act as a bar chart, showing other drivers the extent to which someone was either a Learner or a points holder. Ten orange lights showing? …give me a wide berth.

This scheme could be extended to allow drivers to comment on each others’ driving skills in real time by transmitting signals from car to car which would automatically contribute to one’s orange light total. Signals from other drivers would be given less weight or shorter duration than official points. Give too many negative points to others, though, and you start to receive oranges yourself.

Ideally, I’d like to see anyone with eg 8 orange lights paying significantly more for their fuel than someone with none.

There are several new digital drawing and painting tools I’d really like to see made available, based on the behaviour of real paint.

The first of these is pretty simple. Today’s invention is a ‘bucketfill’ tool whose paint progresses radially outward from the point clicked on the screen at a pace which allows the user still to keep track of the paint’s leading edge -and stop its progress if necessary.

Not only would this be more like dropping a dollop of real paint (you could incorporate various realistic sound effects and transient translucency as well -if you had an embarrassing surplus of computing power). I’d also include some surface tension, viscosity and wave physics so that, as the paint front approached any small inadvertent gaps in the surrounding ‘dam,’ it wouldn’t necessarily spill out and instantly colourise the entire screen but instead highlight these glitches so that they could be plugged.

Aside from these aesthetics, the time course of filling a particular shape (from a variety of known starting points) could be used by the program to identify the shape being painted.