MAPS - Octagons
The playing area or map is more than a graphical layout. In DD it is dynamic with objects. But the map should be dynamic itself. It should have that nice graphical aspect but it should have a 2nd layer that is made of invisible octagons. They have 8 sides.
These octagons have certain parmeters or designations. Just like a spell has parameters like area of impact and strength etc, octagons alos have special attributes.
I guess that your mathematical knowledge is not the sharpest knife in the drawer.
An octagon is composed of 8 triangles with 8 vertexes meeting at the centre of that octagon.
360/8 = 45
this means that the sum of any two peripheral angles is 135 degrees because each triangle has three angles one of which is 45 while the other two are 67.5, but each two adjacent of these make the 135 degrees of arc once more.
To stack octagons on a plane is impossible.
360/135 = 2.666
As you can see you may not place 2.6 octagons.
Squares may fit because they have 90 degrease of arc and every 4 make 360 degrees.
Hexagons would fit too 360/3 = 120 degrees of arc, which is the peripheral angle of a hexagon.
So while squares may be stacked 4 corners at a point, hexagons may be stacked with three corners at a point.
Two shapes’ stacking does not make sense because 180 degrees is not a corner.
Five shapes stacking may be tested by 360/5 = 72 degrees of arc.
But 180 -72 = 108 degrees of arc
360 /108 = 3.3 triangles, so once again five shapes would never fit on a plane matrix.
Octagons follow the same rules and they do not fit for building a two-dimensional matrix.
Kindest regards.
