Abstract
We look at hexagons whose vertex triangles have equal area, and identify necessary conditions for these hexagons to also have vertex quadrilaterals with equal area. We discover a method for creating a hexagon whose vertex quadrilaterals have equal area without necessarily having vertex triangles of equal area. Finally, we generalize the process to build any polygon with an even number of sides to have certain vertex polygons with equal area.
Citation
Candice Nielsen. "Vertex polygons." Involve 5 (3) 361 - 369, 2012. https://doi.org/10.2140/involve.2012.5.361
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