One of the enigmatical phenomena in our solar system is the rotation of the Venus. It was not until 1964 that it could be determined (based on radar examinations); its period lasts 243.019 days, by far the longest of all planets. Moreover, Venus rotates retrograde, i.e. against the general rotational direction of the other planets. This odd rotation is nowadays explained partly by tidal influences of the Sun, partly by chaotic effects, that might have lead to an overturn of the axis of rotation. As we will see shortly, the peculiar rotation of Venus stands also in geometrical relationship to all planets up to Jupiter.

From the period of rotation one can calculate, that one day on the Venus lasts 116.75 days on Earth. In other words, a given point on Venus' surface or a defined horizontal axis faces the Sun every 116.75 Earth days. Of course we can also compute, when this particular defined axis is pointing to the other planets. For the Earth this results in a mean period of 145.93 days, with actual intervals varying considerably around this value. In the following the alignment of the defined axis from Venus to the Earth is called Venus-Earth-view, from Venus to Mercury Venus-Mercury-view etc. If we plot the Raumgeraden between Venus and Earth (and those between Venus and the other planets) at these particular points in time continually over a long period, we obtain the following figures:

Figure 3.1 – 3.4 Raumgeraden. Top left: Venus-Mercury at Venus-Mercury view, 800x, total space of time approx. 255.7 years. Top right: Venus-Earth at Venus-Earth view, 700x, total space of time approx. 279.7 years. Bottom left: Venus-Mars at Venus-Mars view, 500x, total space of time 159.8 years; Bottom right: Venus-Jupiter at Venus-Jupiter view (selective enlargement 10/3), 750x, total space of time 472.5 years; scale in million km. © Keplerstern Verlag

As we can see, the resulting figures are structured by the numbers four, five, ten and fifteen in a very striking numerical order. Please note that it is not self-evident, that regular forms evolve at all. If you execute the corresponding computations with fictive periods of rotation or with those planets not mentioned here, the result is often a jumble of lines. ... ...