The Moon does not cast its shadow on us to create phases
It is a common misconception that Earth's shadow creates lunar phases. In reality, the shifting shapes of the Moon are simply a matter of perspective, driven by how much of the lunar surface is currently catching the Sun's light as it orbits our planet.
The lunar cycle, or lunation, is a rhythmic dance of light and shadow lasting approximately 29.5 days. While the Moon is tidally locked to Earth—meaning the same side always faces us—its appearance changes as it moves around the Earth and Earth moves around the Sun. This process creates eight distinct phases, ranging from the invisible new moon to the brilliantly lit full moon. The transition between these stages is categorized by whether the Moon is 'waxing' (growing thicker) or 'waning' (thinning).
The mechanics of these phases depend on the angle between the Earth, Moon, and Sun. During a new moon, the Moon sits between the Earth and the Sun, leaving its Earth-facing side in darkness. Conversely, a full moon occurs when the Moon is positioned on the opposite side of Earth from the Sun, allowing its entire sunlit hemisphere to face us. Interestingly, the 'quarter' phases—first and last—actually show us only half of the illuminated portion, not a full half-moon.
This celestial clock has been vital to human history. While the first formal calendars emerged in Mesopotamia 5,000 years ago, evidence of lunar timekeeping exists in Scotland dating back 10,000 years. Because a lunar year is roughly 11 days shorter than a solar year, ancient societies developed complex lunisolar systems. The Sumerians used intercalary months to realign their calendars, while the Chinese system resets the count based on the first new moon following the winter solstice. Today, while the Gregorian calendar dominates civil life, pure lunar calendars, such as the Islamic Hijri, continue to rely entirely on this monthly metric.
Source: Lunar phase