The heart of Pascal’s triangle “shape”

→Tortoise matrix

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→the tortoise matrix

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Through the center five，3 numbers of Vertical, horizontal or diagonal line would like this

　Vertical    9-5=5-1=4　　 　　　    right diagonal line  5-2=8-5=3 　　

horizontal    5-3=7-5=2  　　　 　 　 left diagonal line  5-4=6-5=1

  4+1=5         3+2=5

Three numbers of the four sides, neighbors number is same root number

　　Up [4、9、2]   9-4=5        down [8、1、6]   6-1=5

Left [4、3、8]   8-3=5        right  [2、7、6]   7-2=5

Three lines, three columns, two diagonals ，their each group  ‘s sum ：

  horizontal  4+9+2=15      3+5+7=15         8+1+6=15  

  Vertical    4+3+8=15        9+5+1=15      2+7+6=15    

 diagonal line   4+5+6=15      2+5+8=15

 numbers has shape, shape never left numbers. Shapes would have various of looking, but All the measuring of shapes could start from square shape and round shape .so, when it comes to measure them, It has to be  triangle. That is why Pythagoras theorem is the “God father” of the measure arts ……

In the ten numbers，only “six ”and “eight”could be “round”shape. That is why“ one”“six ”and “eight”is “round”shape’s number here.

In the ten numbers，only the “four” and the “nine”could “accumulate”become “square” shape. That is why“ two” “four ”and “night ”is “square”shape’s number here.

In the ten numbers to do the Pascal’s triangle shape，from 1~4，it is to “three” its heart. From 1~7，it is to “five” its heart.from 1~10，it is to “seven” its heart. That is why“three”“five”and“seven”is the  triangle’s number.