There are many types of Design Styles for Floral Design. Here is a list of some of them.

American Design - a general term for a broad classification of designs that distinguish North America Style.

Biedermeier - a rounded or conical floral arrangement, similar to the Nosegay. named for German style in the 1800s. A Biedermeier design is typically created with compact spiraling or concentric circles, each featuring a particular flower or color, with virtually no negative space.

Botanical Design - a late 20th century American Design concept which features at least five parts of the plant material; e.g. stems, laeves, buds,blossoms,and roots.
 
Cascade Design -an arrangement that features Descending lines of plant material in the manner of falling water.

European Design - a broad classification of designs which distinguish contemporary European style.

Freestyle Design -  an advanced creative style which allows greater freedom in interpretating the rules of traditional Ikebana.

Hedgerow Design - a precise, upright design of Parallel Stem Placements in which Plant Materials are aligned or massed in multiple layers to achieve the effort of nearly solid Horizonal bands.
 
Hogarth Curve - a three-sided floral Composition having the Form of a graceful, elongated "S-shaped" curve, with Ascending and Descending Lines radiating from the central Focal Area.Named after the 18th century British artist William Hogarth.

Ikebana - the Japanese art of floral design,meaning "to arrange flowers".

Interpretive Design - a composition in which the design elements are organized to suggest a given theme, idea, occasion, mood, or atmosphere.

Landscape Design - a Composition that imitates a man-made landscape.

Line/Linear Design - a general term for any Composition in which the element of line has more Dominance that the element of form.

Millefleur - a Radial design featuring many varieties of randomly placed blossoms of similar sizes, though primarily with circular forms. Colors are multi-hued and no one particular type of flower dominates. The flowers are most often loosely and delicately arranged.

Oriental Design - a generic term referring to classic Chinese and Japanese design styles. Oriental floral design is typically Linear, with emphasis on negative space, floral forms, and textures.

Parrallel Systems Design - a Composition utilizing Parallel stem placement in which Groupings of stems are placed in the same direction as each other and are always the same distance apart from end to end.

Phoenix Design - a floral Composition in which tall materials appear to burst out from the center of a rounded arrangement.

Pillow Design - a Composition that incorporates floral materials in low Clusters to achieve a soft, mounded appearance.

Topiary Design - a Composition of fresh cut, dried, or artificial Plant materials assembled into the form of a garden topiary.

Tussie-Mussie / Tussy-Mussy - a dainty, compact, round bouquet of mixed, fragrant flowers and herbs arranged either ina random pattern or organized in concentric circles.

Waterfall Design - A cascading design resembling a waterfall in appearance. Descending lines , sometimes intentionally crossed, and several layers of different, typically sheer materials with delicate Textures emphasize depth and create a flowing effect.

Western Line Design - a general term for Symmetrical and Asymmetrical Triangle, L-shaped, Horizontal, Vertical, Crescent, and Pointed Oval arrangements, which are based on Geometric Forms. These arrangements are characterized by a well established Focal Area near the lip of the Container. All stems appear to radiate from the base.The height is typically at least one-and-one-half to two times the height or width of the container, whichever is greater.

Williamsburg Design -  a Symmetrical, massed, and Patterned style of floral design. During the christmas season, fresh greenery fruits, cones, holly, and berries are featured.

 

Geometric Design Chart - here is a list of some of them.

Asymmetrical Triangle Design - a three-sided Composition having the form of a triangle with unequal sides.

Crescent Design - a three-sided, typically Asymmetrical Composition having the Form of a quarter moon, tapering at each end from a well-emphasized Foal Area at the center.Sometimes referred to as "C-shaped".

Equilateral Triangle Design - a Symmetrical, three-sided Composition having the Form of a Triangle with all three sides being equal in length.

Fan Design - a three-sided, semi-circular, Radiating Composition in which Lines emerge from a central Focal Point, like spokes from the hub of a wheel.

Horizontal Design - a Composition in which the predominant Line(s) are low and Parallel to the Plane of the Horizon or the surface upon which the arrangement is placed.

Isosceles Triangle Design - a three-sided Composition having the Form of a Symmetrical Triangle with two sided of equal length and a third side with a different lenght.

Mound  Arrangement - Round Arrangement, an all-around, Symmetrically Balanced, Radial Composition having a hemispherical Form.

Pointed Oval - an Oval Design created in a Vertical style which is less rounded at the top, tapering to an Apex.

Right Angle Design - an Asymmetrically Balanced, three-sided Composition in the shape of a Triangle, and having a Vertical Axis which is Perpendicular to the horizon Line, forming a 90-degree angle.Sometime referred to as a "L-shpaed" arrangement.

Scalene Triangle Design - a three-sided Composition having the Form of a Triangle with all three sides being unequal in length.

Symmetrical Triangle Design - a symmetrically Balanced, three-sided floral Composition having Form of a Triangle.

Vertical Design - a tall, narrow floral Composition in which the predominant Line(s) are elongated and Perpendicular to the plane of the horizon or the surface upon which the arrangement is placed. A vertical design typically extends just barley, or not at all, beyond the width of the container.