Many shapes have metaphorical names, i.e., their names are metaphors: these shapes are named after a most common object that has it. For example, "U-shape" is a shape that resembles the letter U, a bell-shaped curve has the shape of the vertical cross-section of a bell, etc.
These terms may variously refer to objects, their cross sections or projections.
Some of these names are "classical terms", i.e., words of Latin or Ancient Greek etymology. Others are English language constructs (although the base words may have non-English etymology). In some disciplines, where shapes of subjects in question are a very important consideration, the shape naming may be quite elaborate, see, e.g., the taxonomy of shapes of plant leaves in botany.
AstroidBell-shaped curveBiconic shape, a shape in a way opposite to the hourglass: it is based on two oppositely oriented cones or truncated cones with their bases joined; the cones are not necessarily the sameBowtie shape, in two dimensionsAtmospheric reentry apparatusCenterbody of an inlet cone in ramjetsBow shapeBow curveBullet Nose an open-ended hourglassButterfly curveCocked Hat curve, also known as BicornCone (from the Greek word for « pine cone »)Donut shapeEgg-shaped, see "Oval", belowFish bladder or Lens shape (the latter taking its name from the shape of the lentil seed)Geoid (From Greek Ge (γη) for "Earth"), the term specifically introduced to denote the approximation of the shape of the Earth, which is approximately spherical, but not exactly soHeart shape, long been used for its varied symbolismHourglass shape or hourglass figure, the one that resembles an hourglass; nearly symmetric shape wide at its ends and narrow in the middle; some flat shapes may be alternatively compared to the figure eight or hourglassDog bone shape, an hourglass with rounded endsHourglass corsetNtamaHourglass NebulaInverted bellLune, from the Latin word for the MoonMaltese Cross curveMushroom shape, which became infamous as a result of the mushroom cloudOval (from the Latin "ovum" for egg), a descriptive term applied to several kinds of "rounded" shapes, including the egg shapePear shaped, in reference to the shape of a pear, i.e., a generally rounded shape, tapered towards the top and more spherical/circular at the bottomRod, a 3-dimensional, solid (filled) cylinderRod shaped bacteriaScarabaeus curve resembling a scarabserpentine, shaped like a snakeStadium, two half-circles joined by straight sidesStirrup curveStar a figure with multiple sharp pointsSunburstTomahawk