The crescent moons (old and new) are at a small angle to the sun, and can only be seen at dawn or dusk - which is why the pictures have a brighter background; and the full moon can only be seen in daylight during afternoon of the summer months (and apparently these are usually misty in Taiwan). Easiest daytime viewing of the moon is when it is about half - afternoons for the waxing-, and mornings for the waning-moon.
