Presentation on theme: "King Wen’s Ba Gua Next, we come to ‘Ba Gua’ diagram or eight states diagram as shown above. Ok, what is message that it want to deliver to us? Usually,"— Presentation transcript:
1 King Wen’s Ba GuaNext, we come to ‘Ba Gua’ diagram or eight states diagram as shown above.Ok, what is message that it want to deliver to us? Usually, Chinese people willhang it on the top of the front door of their house saying that it will chase away ghostor bad luck.Really? Will it contains any mathematical concepts which explain our nature?Korean FlagJust an extra information, as we can see that the Korean Flag also having the similar symbols…...Well, not quite. 4 symbols of the Ba Gua have been taken away and the white and black dots of the Tai Ji symbol in thecentre are missing.
2 Pu Yi’s Ba Gua South south-East south-west East West North-East North North-WestIn the original document of I-Ching, we can see that directions have been assigned to each of the 8 symbols.Why is that so?
3 Will these stars belong to this particular direction? Let us begin our discussion from a simple point of view. Please refer to the following slides.
4 Low Low Low Low Low High Low High Low Low High High By using 3 switches and by performing all the 8 possibilities , we will get an alternative way to understand ‘Ba Gua’ diagram.Low Low LowLow Low HighLow High LowLow High High
6 Switch C Switch C Switch B Switch B Switch A Switch A All the eight symbols in the ‘Ba Gua’ diagram consist ofouter-most line, middle line and inner most line.We assume the outer-most line represent switch C,the inner-most line represent switch A and the middle linerepresent switch B.Remind that the original meaning of thesesymbols will be different from what we assume here.Remember that we are using scientific approach here.
7 Now, we will try to use the point of view from digital electronics as a stepping stone to understand ‘Ba Gua’ diagram.Switch CSwitch BSwitch ALow Low LowLet us assume that there is a room which having eight light bulbs which separately attached to the edges. We have 3 switchesto control them. When we turn all the switches to the ‘Low’ state, the light bulb at the bottom left corner is turned on.
14 H H H Finally, when we turn all the switches to the ‘High’ state, Switch CSwitch BSwitch AFinally, when we turn all the switches to the ‘High’ state,the light bulb at the bottom right corner is turned on.H H H
15 Reference pointIf we ‘float’ in the middle, we will see eight light bulbs in 8 directions. Only 1 light bulb will turn on each time.
16 Conclusion: We can say that each of the eight symbols in ‘Ba Guo’ diagram represent a particular direction.Switch CSwitch BSwitch ALow Low Low
17 Digital Integrated circuit Light bulb, in off stateSwitch ASwitch BSwitch CDigital Integrated circuitWe can actually implement this circuit in real life situation by using a digital IC, switches, light bulbs orLight Emitting Diode and wires.
18 A B C Switch C Switch B Switch A We can design ( using Computer Aided Design software )a combinational logic circuit whichhave 3 inputs (Switch A,B and C) and 8 outputs(which represent the 8 symbols in ‘Ba Gua’ diagram).
19 Switch C Switch B Switch A We connect wires from the 3 switches to the Wire CWire AWire BSwitch CSwitch BSwitch AWe connect wires from the 3 switches to thewire A, wire B and wire C in the circuit diagram.
20 ABCWe connect the out, out2, out3, out4, out5,out6,out7 and out8 to 8 light bulbs which situatedat the edges of the room .
21 Ground To make the light bulbs work, we need the ‘ground’. Switch ASwitch BSwitch CTo make the light bulbs work, we need the ‘ground’.We assume the IC is already being powered.Ground
22 Switch CSwitch BSwitch ALow Low LowWe ignored the wiring for clarity purposes. When we let switch A, B and C to be in low state,We can see that only one light bulb turn on. The others are off.
23 These are the timing diagrams that simulate all the 8 possibilities of Switch ASwitch BSwitch CThese are the timing diagrams that simulate all the 8 possibilities ofthe switches.
29 XYZ111111111To further enhance our understanding, let us take a look to the I-Ching diagram again.Remember the game which shown previously? Here, X can be usedto represent ‘Farmer’, Y for ‘Wild dog’ and Z for ‘Chicken’. X=0 y =0 z=0 represent all of them is at the rightSide of the river bank. X =1 y=1 z=1 means that they are at the left side of the river bank.
30 X Y Z We can see the one to one correspondence again. 1 1 1 1 1 1 1 1 111111111We can see the one to one correspondence again.
43 Y-axis1X-axis11Z-axisBy now, we can slightly understand that why directions have been assigned to the eight symbols in Ba Gua diagram.
44 Y-axis 1 X-axis 1 1 Z-axis X Y Z 111111111Y-axis1X-axis11Z-axisAlso, we can see that this is like a unit cell. These coordinates are much like indices such asMiller indices in material science. They can also represent the position where the 8 light bulbs attached to.
45 Y-axis X-axis Z-axis West South North East Now, we can also use arrows to point to the particular directions.The four arrows indicate the North, South, East and West.
46 Y-axis X-axis Z-axis south-East south-west North-East North-West The arrows in the square indicate North-west, North-east, South-east and South-west.
47 Y-axisX-axisZ-axisCombining all the arrows together indicating the directions in 3 dimensions.Remind that we are not providing definite answer here since the author had not went through the formereducation of I-Ching.The results of our discussion might differ with the original meaning.However, after these lengthy discussions we are able to get some clues and start to see the relation betweenScience and I-Ching.There is a doubt! Please refer next slide.
48 Logically, the north-west, north-east , south-west and south-east directions should be in the following waysas indicated by the green arrows as shown below.South-westNorth-westSouth-eastX-axisNorth-eastZ-axis
49 X-axisZ-axisNorth-westSouth-westSouth-eastNorth-eastNorth-westDo you see the difference of the direction of North-west in the diagrams above?Let us go through step by step to see whether there are any connection between these two diagrams.
51 Can we consider this is also a North-west? South-westCan we consider this is also a North-west?South-eastX-axisNorth-eastZ-axis
52 Can we consider this is also a North-west? South-westCan we consider this is also a North-west?South-eastX-axisNorth-eastZ-axis
53 Can we consider this is also a North-west? South-westCan we consider this is also a North-west?South-eastX-axisNorth-eastZ-axis
54 Can we consider this is also a North-west? South-westSouth-eastCan we consider this is also a North-west?X-axisNorth-eastZ-axis
55 Can we consider this is also a North-west? South-westSouth-eastCan we consider this is also a North-west?X-axisNorth-eastZ-axis
56 If we consider in 3-dimensions South-eastSouth-westX-axisStill a North-west?If we consider in 3-dimensionsNorth-eastZ-axis
57 Will these stars situated within this region? North-westX-axisZ-axisWill these stars situated within this region?Will this provide an insight to us that is the reasons why the stars are included in the ‘Luo Pan’?We have to discuss these since we will need these as a foundation to understand the excitingpart 3 which discuss about quantum mechanics, fractal physics, discrete mathematics, essence of Hua YanBuddhism and new mathematical structure for DNA and new Boolean simplification methods.