Clocks On a Hyperdimensional Planet

[Hornbein]

On a planet with four spatial dimensions and one of time a clock would look like this.

The hands are connected with pivots. The height of the jewel corresponds to the height of the Sun in the sky. If it is above white then it is daylight, if above black it is night. Here the sun has height 6. There is no minute hand on this clock, rather there are the blue and red hour hands. The time shown is 6p5a, with a and p corresponding to am and pm.

All this is because 4D objects can rotate on two perpendicular 2D planes. The periods of rotation are independent. This was elucidated by Clifford in about 1895. If the periods are different then the Sun can do things like dip below the horizon then rise again.

The length of the hands depends on the location of the clock on the surface of the planet. This clock is closer to the "blue" plane than it is to the "red" plane so the blue hand is longer.

https://www.researchgate.net/publication/359213812_Elsewhere_Everyday_Life_On_A_Hypergeometric_Earth.

 

[Algr]

It was once believed that beings from the fourth dimension would possess spectacular intelligence. The vastly greater room for neural pathways in their brains would make them as gods to us lowly humans. But in time we came to understand. Every move they make, every simple endeavor, explodes in hopeless complexity. And in time, they would find themselves without the will to even get up in the morn ... noon... early... whatever that clock says.

 

[snorkack]

All this is because 4D objects can rotate on two perpendicular 2D planes. The periods of rotation are independent. This was elucidated by Clifford in about 1895. If the periods are different then the Sun can do things like dip below the horizon then rise again.

Earth already rotates around two planes that are actually at an acute angle. The periods are independent, incommensurate and important. They are called day and year.
How does the month hand on clocks move? (Note that while hours are equal, months are not.)

 

[Algr]

I think the Earth around the Sun is revolve, not rotate. A 4d planet would do that too, but OP is just talking about rotating. The path the 4d planet would take around the star... I have no idea.