Diamond. The diamond shaped face is the rarest of face shapes, and is defined by a narrow forehead, wide cheekbones and a narrow chin.
A Möbius strip, or Möbius band, is a three-dimensional shape with a single, continuous side. This shape is named after August Ferdinand Möbius, a German mathematician, who was also a fan of unusual shapes. You must have seen this shape as the recycle symbol.
There are several shapes that are used when strength is important. The arc (think: circle) is the strongest structural shape, and in nature, the sphere is the strongest 3-d shape. The reason being is that stress is distributed equally along the arc instead of concentrating at any one point.
A mathematical circle doesn't exist in nature because a) it is a two dimensional object and b) shapes in nature are quantized - at some point a flower is made of cells and then atoms.
Hexagons and Other Shapes
But the most common shape you'll find in nature, and the one that most astounds mathematicians, is the hexagon. These six-sided shapes are everywhere! Beehives, insect eyes, and snowflakes are all made up of hexagons.
Circles, Ovals and Ellipses
Circles unlike other geometric shapes, don't have angles, and it makes circles feel softer and milder than others shapes. Commonly they represent both unity and protection. Circular shapes are much friendlier shape than the others for encompassing other images within.
Hourglass silhouettes are coveted in beauty magazines and pop culture, but it's actually the least common body shape.
A group of four scientists have discovered an entirely new shape which has 13 sides and has named it “the hat”. It is the first 'einstein' tile to have been found: a shape that can cover a plane without overlapping, leaving gaps, or repeating patterns.
Liquids tend to conform to the shape of the container where they are located so they don't have any specific shape. This is opposed to solids, which have a specific shape and volume, and gases, which have no definite shape or volume.
The gömböc is the first mono-monostatic shape which has been constructed physically. It has a sharpened top, as shown in the photo. Its shape helped to explain the body structure of some tortoises in relation to their ability to return to an equilibrium position after being placed upside down.
It is impossible to collapse a triangle without breaking one of its sides, which makes it the strongest straight-edge shape. For this reason, you will see triangles in lots of bridges.
The icosahedron – 20-sided polyhedron – is frequent.
A 100-sided polygon, virtually indistinguishable in appearance from a circle except at very high magnification.
And all it takes for this special shape is 13 sides. In the world of mathematics, an "aperiodic monotile"—also known as an einstein based off a German phrase for one stone—is a shape that can tile a plane, but never repeat.
Mathematicians are excited about a new discovery: a 13-sided shape called “the hat.” Lots of copies of the shape can be used to cover a flat surface without ever overlapping or leaving any gaps. Importantly, the patterns made with the hat never repeat.
Triangles are the strongest shape there is. Any weight placed on them is evenly distributed on all 3 sides. They represent geometric sturdiness; no matter how much weight you put on any side, it will not break.
In a liquid, the particles are still in close contact, so liquids have a definite volume. However, because the particles can move about each other rather freely, a liquid has no definite shape and takes a shape dictated by its container.
A point has no shape and measurement.
A gas has neither a definite shape nor a fixed volume.
In geometry, an apeirogon (from Ancient Greek ἄπειρος apeiros 'infinite, boundless', and γωνία gonia 'angle') or infinite polygon is a polygon with an infinite number of sides. Apeirogons are the two-dimensional case of infinite polytopes.
A heptagon is a two-dimensional shape with 7 sides and 7 angles. It belongs to the class of polygons in two-dimensional geometry.
A geometry problem that has been puzzling scientists for 60 years has likely just been solved by an amateur mathematician with a newly discovered 13-sided shape. Called “The hat” because it vaguely resembles a fedora, the elusive shape is an “einstein” (from the German “ein stein,” or “one stone”).
Triangles are the strongest shape.
In geometry, a digon is a polygon with two sides (edges) and two vertices.
A heptagon is a seven-sided polygon. It is also sometimes called a septagon, though this usage mixes a Latin prefix sept- (derived from septua-, meaning "seven") with the Greek suffix -gon (from gonia, meaning "angle"), and is therefore not recommended.