Is it possible to have a planet that has seasons and is also cold at the equator and hot both poles?

I am trying to create a planet for a fantasy role-playing game where the equator is an impassible region of ice. Ideally, I want to find a science-based solution to this and not have to resort to explaining it away with magic. Here's what I am trying to create.

1. Planet has seasons. (If there are ways that seasons can be created without giving a planet tilt, I am open to this.)
2. Planet is cold at the equator.
3. Planet is hot at both poles.
4. Planet has a day and night cycle similar to that of Earth.
5. Planet can have any year length. Ie. If the planet has a longer orbital period due to a highly elliptical orbit.

Things I have thought of so far:

1. Give the planet a 90° tilt. This would cause half of the planet to be in constant darkness/light in violation of Criteria 4.
2. Give the planet 0° tilt and rings that block out a good portion of the sunlight about the equator. With 0° tilt, the planet wouldn't have seasons (breaking Criteria 1) unless there is some other way of bringing them about. In addition, most rings are basically flat and the shadow cast by rings at 0° tilt about the equator would be very narrow.

Thanks all!

posted about 7 years ago

AchillesHeal‭

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