Imagine something bulging outwards, like the surface of a balloon.

Visual Imagery

Convex is the opposite of concave, where something curves inward.

Not Concave

In any convex shape, any two points can be connected with a straight line that lies within the shape.

Straight Lines

Most common shapes like circles and rectangles are convex.

Common Shapes

In economics, convexity suggests that consumers value diversity, preferring a mix of options.

Diverse Options

Convex preferences indicate a desire for balance and variety rather than extremes.

Balance

Convex preferences may lead to bundled offers in marketing to attract customers.

Bundling Goods

Using convex shapes makes calculations in computer graphics more straightforward.

Simplifying Graphics

Convex optimization techniques help in finding solutions efficiently in various fields, like logistics.

Efficiency

 One day he took us out into the sun and tried to show us how to find the focal length of a convex lens. The lens was here. The piece of paper was there. He moved it up and down. And there was a bright spot up there. And then he said, "This is the focal length."

R.A. Mashelkar:...

 even on a flat piece of paper, our brain reflexively creates the 3D concave or convex shape. Now for that creepy Lincoln upside down face. Faces trigger activity in areas of the brain that have specifically evolved to help us recognize faces.