# Mathematics Part 1

## 34 terms · The Mathematics of Design The Elements Triangles

### Mathematics

The common thread that runs throughout the fabric of the biological factors, that affect hairdeisgn, such as our senses and the clients' physical characteristics.

### Fibonacci's Sequence

The relationship among numbers in which to get a third number, one adds the preceding two.

### Golden Ration or phi

The ratio 2/3, mathematicians believe this divine proportion is demonstrated as beauty and organization in the cosmos.

### Theoretical application of hairdesign

Involves ideas or concepts.

### Design Plan

A guide that outlines the elements and components involved in creating the hairdesign's composition.

### Element

The artistic or creative part of the hairdesign and the smallest component into which something can be divided.

### Practical application of hairdesign

Implements the principle idea to achieve a composition or finished style by arranging component parts.

### Space

A three-dimensional area in which the hairdesign can move or be formed.

### Negative space

Space showing through the hairdesign.

### Positive space

The space that is occupied by the hair.

### One-dimensional

Have only the single spatial measurement of length without depth or width.

### Two-dimensional

Measure space in two directions, producing designs with length and width, but no depth.

### Three-dimensional

The measurement of space in three directions: length, width, and depth.

### Color

A visual sensation experienced when light of varying wave lengths reaches the eye.

### Value

The amount of light or darkness in the tone of a particular color.

### Contrast

Occurs when two or more opposing colors are placed close to each other within a hairdesign.

### Mood

Created from the tonal value of colors. Blue-based colors invoke feelings of coolness and depth. Yellow-based colors add visual lift using lightness and brightness. Red-based colors create warmth or vibrancy.

### Illusion

A visual perception created by the strategic placement of color. Lighter shades accentuate hairdesign components while darker colors help them recede.

### Emphasis (of color)

Used to give prominence to a component or area of a hairdesign.

### Dimension

Created by the use and placement of contrasting elements within the hairdesign. Lighter colors give the overall design the appearance of being larger, closer, brighter and more airy. Darker colors give hte effect of being smaller, recessed, denser, and more compact.

### Texture

The visual and tactile quality of hair.

### Natural Textures

Occur in the hair when it assumes the shape of the follicle from which it grows.

### Lines

Comprised of points in space. Perpendicular, circular, ovaloid, geometric, or parallel, all are made up of points in space.

### Vertical lines

Create the illusion of length or height.

### Horizontal lines

Create the illusion of width.

### Diagonal lines

Create depth or dimension.

### Curved lines

Create movement and waves.

### Form

The structural outline of the hair that makes it identifiable from all angles.

### Shapes

Made up of connecting lines of straight or curved geometric figures (square, rectangle, triangle, round, oval, ovaloid.)

### Triangle

The most perfect shape in hairdesign.

### Divisions

Used to separate the hair into smaller manageable areas for control when working on a total hairdesign.

### Sections

Consist of the geometric shapings placed on various areas of the head to accomplish the total design plan.

### Subsections

Used to divide the sections or shapes. Subsections can be created using straight or curved lines.

### Partings

Different than parts; they divide sections or subsections when creating the bases for design elements. Partings can be formed using straight or curved lines.