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 four-sided polygon

triangle, trigon, trilateral

a three-sided polygon

hexagram

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

asterism

(mineralogy) a star-shaped 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 five-sided polygon

hexagon

a six-sided polygon

heptagon

a seven-sided polygon

octagon

an eight-sided polygon

nonagon

a nine-sided polygon

decagon

a polygon with 10 sides and 10 angles

undecagon

an eleven-sided polygon

dodecagon

a twelve-sided 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

type of:

figure

a combination of points and lines and planes that form a visible palpable shape