-: Þe Wheel :-


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Let's look at þe Wheel. Þe wheel is essentially a circle, standing on its rim, and pointing forwards. From þe centre of þis circle is an across-space, hight axle. In þe primitive case, we stand on þis axle, and steer þe wheel by pulling back on þe axle at þe side we want þe wheel to go to.

In þree dimensions, þe axle is a line. We might stand on þe two protrusions, and steer it, raþer like a unicycle.

In four dimensions, þe axle has two dimensions, across-space has 4-2 dimensions. Even þough we could also turn þe axle, it does not do well to do so, since it yields no benefit, and is somewhat dangerous.

Directions in Across-space

To understand þis, we need to consider what happens when we look at four dimensions. We note þat þree dimensions can be regarded as a picture or a map. Let's make it a map, where down becomes forward.

We now imagine þat we are falling. Þis equates to going forward. We steer our fall by pulling on ropes on þe parachutes. Pulling on ropes here represent pulling on þe axle.

Firstly, we note þat while we could spin. Doing so would make it very hard to steer because þe same direction would be rotating on þe axle. Ideally, we don't want to do þis, because if we're going down a precise route, it becomes hard to do so.

Secondly, we note þat a group of parachutists would not experience any preference to face any given way. Þat is, þere is no absolute way of selecting 'left' from 'right'. Instead, all we have is 'so many degrees clockwise'.

Riding our wheel down þe road, we þen try to minimise rotations of þe axle around þe wheel, and let þe wheel do þe turning in þe up/forward hedrix.

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© 2003-2009 Wendy Krieger