The smallest possible lego is a legon; a one-stud block one thickness high; it comes in square and round. I shall consider colours to be trivial.
The legons can be stacked to form 2/3rd height blocks, which are very close to useless. A 3/3 block is homologous with a 1 stud full height block.
A 4/3 block is also un-natural.
There are several combinations of round and square legons; I presume the size of the resulting block is the average of the component shapes.
Either way, the legon combinations become either barrel or square one stud bricks.
Two stud bricks are followed by three stud, four stud, six stud, eight stud and ten stud.The same rule applies to the 2 by x brick, where x=(1,2,3,4,6,8,10, 12, 16)
5 and 7 appear to be forbidden.
Also, certain shapes appear forbidden. While an L shaped 3 stud brick exists(fitting the space of a 4 stud) , there is no five stud or seven stud brick that would fit a six stud or a eight stud space respectively.
There is an L shaped 12 stud brick that would fit a 8x8 space.
Oddly, there is a several 1 by x bricks that are 5 units high (or 15 legons).
But the 2 by x bricks are 2, 3, and 4 units high! (6, 9, and 12 legons high).
Also, if 3 is such an important number (bricks are 3 legons high, there are three stud bricks in every category) is 3x3 or 9 forbidden?
An elementary table may follow.
No comments:
Post a Comment