Sesvigintagonal

Sesvigintagonal refers to a polygon with twenty-six sides. The term is derived from Latin, with "ses" meaning six, "viginti" meaning twenty, and "gonal" relating to angles or sides. Therefore, a sesvigintagonal polygon has twenty-six angles and twenty-six sides.

In geometry, polygons are classified by the number of their sides. A sesvigintagon is a specific instance within this classification. Like any polygon, a sesvigintagon can be regular or irregular. A regular sesvigintagon has all its sides of equal length and all its interior angles equal in measure. The sum of the interior angles of any sesvigintagon, regardless of whether it is regular or irregular, can be calculated using the formula (n-2) * 180 degrees, where n is the number of sides. For a sesvigintagon, this would be (26-2) * 180 = 24 * 180 = 4320 degrees.

In a regular sesvigintagon, each interior angle measures 4320 / 26 degrees, which simplifies to approximately 166.15 degrees. The exterior angles of a regular sesvigintagon each measure 360 / 26 degrees, approximately 13.85 degrees. While sesvigintagons are mathematically defined, they are not commonly encountered in everyday geometry or architecture due to their high number of sides.