Multidimensional array

Multidimensional arrays are arrays with two or more than dimensions.

Because papers and computer screens are 2-dimensional, arrays with higher number of dimensions are hard to visualize. The following 3-dimensional array A indexed by three indexes, Index_a, Index_b and Index_c, serves as an example of a simple multi-dimensional array:

Variable A :=

`Index_c = 'displayed value'`
	Index_b ▶
Index_a ▼	a	b	c
x	value	value	value
y	value	value	value
z	value	value	value

As another example of a 3D array, consider the array Colors indexed by Number, Letter, and Hue:

Variable Colors :=

	Number ▶
Letter ▼	1	2	3
A	45	19	92
B	13	21	81
C	12	43	47

Hue = 'Red'

	Number ▶
Letter ▼	1	2	3
A	34	25	45
B	11	62	19
C	84	45	53

Hue = 'Green'

	Number ▶
Letter ▼	1	2	3
A	21	65	95
B	48	33	12
C	57	56	23

Hue = 'Blue'

Compare these multi-dimensional arrays to the following arrays with fewer dimensions:

An index or list and its values:

Index N :=

1	2	3	4	5

A one-dimensional array:

Variable Squares :=

Squares ▶
1	2	3	4	5
1	4	9	16	25

A two-dimensional array:

	Index_b ▶
Index_a ▼	a	b	c
x	value	value	value
y	value	value	value
z	value	value	value

Multidimensional array

See Also