I
Day
When the sun rises and sets, how high it stands at noon, how long the day is. Beside it a 24-hour dial, midnight at the top: the arcs are the daylight.

Example · Berlin & Cape Town
Sun position, twilight phases and day length for two places on Earth — side by side, for any date, worked out live in your browser.
If you talk to people in other time zones, you convert constantly — and still get it wrong. Seven hours' difference doesn't mean it gets light seven hours later there.
So Solaris Dual doesn't answer “what time is it there”. It answers “how far along is the day there”. Sunrise and sunset, twilight, day length — for both places, side by side.
And it follows one rule throughout: place A is the baseline, every difference applies to place B. All times are local; the time-zone offset is not folded into the differences.
I
When the sun rises and sets, how high it stands at noon, how long the day is. Beside it a 24-hour dial, midnight at the top: the arcs are the daylight.

II
Every phase from astronomical twilight to the golden hour, morning and evening, for both places. The phase dial shows one place on the outside, the other on the inside.

III
How day length shifts across the year, with equinoxes and solstices. Where the two rings of the year dial cross, both places get the same amount of light.

IV
Search anywhere via OpenStreetMap, reference places from Tromsø to Quito, ready-made extreme pairs. The earth section shows the day and night side on the chosen date.

Four drawings, one idea: the two places don't sit side by side in two charts, they sit together in one. The distance between them is the point.