Three regular hexagons inside a circle. Two shared vertices and five vertices on the circle. What’s red : green?

# Tag: hexagon

## Mind the gap

A regular hexagon with an equilateral triangle sharing a vertex and having a vertex somewhere along the opposite side. What is the maximum length of line segment g?

## The bubble chamber

A regular hexagon and two semicircles connecting vertices. What’s the angle α between the chords?

## The life net

The vertices of a regular hexagon are connected to midpoints of opposing sides. What fraction is red?

## The Sikh turban

A regular hexagon containing an orange quadrilateral. What fraction of the total area is blue?

## The honeycomb

Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?

## The blue pill

A regular octagon containing a blue hexagon. All line segments have equal length. What fraction is blue?

## The Lion King II

A regular hexagon and three squares. What is the proportion yellow : brown?

## Darth Vader

A regular hexagon containing three diagonals and three congruent circular arcs. What fraction is black?

## The swinging pyramid

A regular hexagon and two equilateral triangles share a vertex. What is the area proportion blue : yellow?