 Types:
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heart
a plane figure with rounded sides curving inward at the top and intersecting at the bottom; conventionally used on playing cards and valentines

polygon, polygonal shape
a closed plane figure bounded by straight sides

conic, conic section
(geometry) a curve generated by the intersection of a plane and a circular cone

oblong
a plane figure that deviates from a square or circle due to elongation

hemicycle, semicircle
a plane figure with the shape of half a circle

sector
a plane figure bounded by two radii and the included arc of a circle

star
a plane figure with 5 or more points; often used as an emblem

paraboloid
a surface having parabolic sections parallel to a single coordinate axis and elliptic sections perpendicular to that axis

ellipsoid
a surface whose plane sections are all ellipses or circles

tree, tree diagram
a figure that branches from a single root

isogon
an equiangular polygon

convex polygon
a polygon such that no side extended cuts any other side or vertex; it can be cut by a straight line in at most two points

concave polygon
a polygon such that there is a straight line that cuts it in four or more points

ellipse, oval
a closed plane curve resulting from the intersection of a circular cone and a plane cutting completely through it

quadrangle, quadrilateral, tetragon
a foursided polygon

triangle, trigon, trilateral
a threesided polygon

hexagram
a regular polygon formed by extending each of the sides of a regular hexagon to form two equilateral triangles

asterism
(mineralogy) a starshaped figure with six rays that is seen in some crystal structures under reflected or transmitted light

pentacle, pentagram, pentangle
a star with 5 points; formed by 5 straight lines between the vertices of a pentagon and enclosing another pentagon

pentagon
a fivesided polygon

hexagon
a sixsided polygon

heptagon
a sevensided polygon

octagon
an eightsided polygon

nonagon
a ninesided polygon

decagon
a polygon with 10 sides and 10 angles

undecagon
an elevensided polygon

dodecagon
a twelvesided polygon

spherical polygon
a figure on the surface of a sphere bounded by arcs of 3 or more great circles

parabola
a plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve

hyperbola
an open curve formed by a plane that cuts the base of a right circular cone

cladogram
a tree diagram used to illustrate phylogenetic relationships

stemma
a tree diagram showing a reconstruction of the transmission of manuscripts of a literary work