Margin


1° example



1° dimension: 1

2° dimension: 1

3° dimension: 1



element is margin of It:

0D --> 4

1D --> 2

2D --> 10

3D --> 20

4D --> 40



margin = 1



internalpoint = 1



point = 1







2° example



1° dimension: 1

2° dimension: 2

3° dimension: 1



vector is margin of It:

1D --> 2*margin=2*internallength=2*length

2D --> 10*margin=10*internallength=10*length

3D --> 20*margin=20*internallength=20*length

4D --> 40*margin=40*internallength=40*length



margin = 2



internallength = 2



length = 2







3° example



1° dimension: 2

2° dimension: 1

3° dimension: 2



matrix 2D is margin of It:

2D --> 10*margin=10*internalarea=10*area

3D --> 20*margin=20*internalarea=20*area

4D --> 40*margin=40*internalarea=40*area



margin = 4



internalarea = 4



area = 4





4° example



1° dimension: 2

2° dimension: 2

3° dimension: 2



matrix 3D is margin of It:

3D --> 20*margin=20*internalvolume=20*volume

4D --> 40*margin=40*internalvolume=40*volume



margin = 8



internalvolume = 8



volume = 8





5° example



1° dimension: 2

2° dimension: 3

3° dimension: 2



matrix 3D is margin of It:

3D --> 20*margin=20*internalvolume=20*volume

4D --> 40*margin=40*internalvolume=40*volume



margin = 12



internalvolume = 12



volume = 12





6° example



1° dimension: 3

2° dimension: 3

3° dimension: 3



matrix 3D has margin and internal volume:

3D --> 20*margin+20*internalvolume=20*volume

4D --> 40*margin+40*internalvolume=40*volume



margin = 26



internalvolume = 1



volume = 27





7° example



1° dimension: 4

2° dimension: 4

3° dimension: 4



matrix 3D has margin and internal volume:

3D --> 20*margin+20*internalvolume=20*volume

4D --> 40*margin+40*internalvolume=40*volume



margin = 56



internalvolume = 8



volume = 64





8° example



1° dimension: 10

2° dimension: 10

3° dimension: 10



matrix 3D has margin and internal volume:

3D --> 20*margin+20*internalvolume=20*volume

4D --> 40*margin+40*internalvolume=40*volume



margin = 488



internalvolume = 512



volume = 1000





9° example



1° dimension: 1

2° dimension: 10

3° dimension: 10



matrix 2D is margin of It:

2D --> 10*margin=10*internalarea=10*area

3D --> 20*margin=20*internalarea=20*area

4D --> 40*margin=40*internalarea=40*area

margin = 36



internalarea = 64



area = 100





10° example



1° dimension: 5

2° dimension: 1

3° dimension: 2



matrix 2D is margin of It:

2D --> 10*margin=10*internalarea=10*area

3D --> 20*margin=20*internalarea=20*area

4D --> 40*margin=40*internalarea=40*area



margin = 10



internalarea = 10



area = 10