Lunapawn

Lunapawn is able to use a light magic. This is a low cost and 2 Materials. And stronger than a pawn.

Other Variation 2

Jinmaku

Jinmon

Material Cost

Transformed Side Other Variation

Captain

This is a non-royal piece but moves as a King.

Cavalry transforms to Bishop(b1 and h9) or Captain(h1 and b9).

My Original New Shogi

Transformed Side

King

Soldier

General

Admiral

Cavalry

Knight

Bishop

Inquisitor

Barrier

Gate

Rook

Castle

Material Cost

Material cost is the cost of pieces, or used in a specific situation by summoning unit for some card games. If one of material costs is higher than another piece, this one is more powerful, but heavier than another. Another way of saying, one which has a low material cost, it is more light and movable, and easy to exchange for higher costs. For example, material costs(Material Cost) of knight is 6. ,the pawn have 1 material.

How is calculating material costs mathematically.

Let’s suppose a checked board in your hands. Adjust it to 7×7 squares.

(a1,a3,a5,a7,b2,b4,b6,c1,c3,c5,c7,d2,d4,d6,e1,e3,e5,e7,f2,f4,f6,g1,g3,g5,g7)=|A|

(a2,a4,a6,b1,b3,b5,b7,c2,c4,c6,d1,d3,d5,d7,e2,e4,e6,f1,f3,f5,f7,g2,g4,g6)=|B|

+—+—+—+
|c1|b1|a1|
+—+—+—+
|c2|b2|a2|
+—+—+—+
|c3|b3|a3|
+—+—+—+

|A| and |B| are an assembly element.

Put a piece you want calculate on the d4 central. You can analyze movements of the piece to a part. And you can apply this movements into each squares, (ranks and files). These motion elements are parted into Leap, Ride, Hurdle, Capture only and Move only.

In particularly, the special ability which have various pieces, for example warp, is regarded as special ability elements, these are stood for a letter .

The following list are symbols of the elements.

Ⓛ: Leap Ⓡ: Ride ☐: Hurdle ×: Capture only △: Move only A: Capture without move B: Muti-capture without move C: Copy I: Imitate P: Push R: Reverse S: Sky T: Turn around X: Stop Y: Warp

All elements are able to calculate, a pawn with one step orthogonal capture and one step diagonal move, in this situation pawn cannot move double step at the initial movement, which have △ in d3 and × in c3, e3. So, the following expression is made up.

Pawn=(△)•(d3)+(×)•(c3)+(×)•(e3)

A king moves one step orthogonally and diagonally, it means Ⓛ in c3, c4, c5, d3, d5, e3, e4, e5.

King=(Ⓛ)•(c3)+(Ⓛ)•(c4)+(Ⓛ)•(c5)+(Ⓛ)•(d3)+(Ⓛ)•(d5)+(Ⓛ)•(e3)+(Ⓛ)•(e4)+(Ⓛ)•(e5)

Next, I want show a list of the operation process numbers.

(|A|)=1/2 (|B|)=1 (Ⓛ)=1 (Ⓡ)=1/2 (☐)=1/2 (×)=1/2 (△)=1/2 (A)=1/2 (B)=1 (C)=1 (I)=1/2 (P)=1/2 (R)=1 (S)=1/2 (T)=1 (X)=1 (Y)=1

Next, I want explain for calculation of material cost about Rider.

In general, rider is known as a series of same direction leaps as far as the board will allow, each of which must be to an empty spaces.

Well, which the initial step of rider is the some of Leap or Ride, et cetera. It is possible that both Leap and Ride. In case of general rider; bishop and rook, the initial step is Leap. In case of circular rider; rose, the initial step is Ride.

As well, rider that move by crawling under ground; bishop, rook or queen, and another type of rider that move by interval jumping; nightrider, exist. The first type of rider is calculated by 11×11 squares checked board, and second type of rider is by 13×13.

(A1,a3,a5,a7,a9,a11,b2,b4,b6,b8,b10,c1,c3,c5,c7,c9,c11,d2,d4,d6,d8,d10,e1,e3,e5,e7,e9,e11,f2,f4,f6,f8,f10,g1,g3,g5,g7,g9,g11,h2,h4,h6,h8,h10,i1,i3,i5,i7,i9,i11,j2,j4,j6,j8,j10,k1,k3,k5,k7,k9,k11)=|A|

(a2,a4,a6,a8,a10,b1,b3,b5,b7,b9,b11,c2,c4,c6,c8,c10,d1,d3,d5,d7,d9,d11,e2,e4,e6,e8,e10,f1,f3,f5,f7,f9,f11,g2,g4,g6,g8,g10,h1,h3,h5,h7,h9,h11,i2,i4,i6,i8,i10,j1,j3,j5,j7,j9,j11,k2,k4,k6,k8,k10)=|B|

The central is f6.

I want to explain the calculation for rook.

Ⓛ in e6, f5, f7, g6. Ⓡ in a6, b6, c6, d6, f1, f2, f3, f4, f8, f9, f10, f11, h6, i6, j6, k6

Rook=(Ⓛ)•{(e6)+(f5)+(f7)+(g6)}+(Ⓡ)•{(a6)+(b6)+(c6)+(d6)+(f1)+(f2)+(f3)+(f4)+(f8)+(f9)+(f10)+(f11)+(h6)+(i6)+(j6)+(k6)}

Super Symmetry Correction; SSC, for the type of Knights and Nightrider. Knight and nightrider have 9 symmetries and this is maximum numbers.So, you can correct these material costs.

(SSC)=-2

Pawn=1 King=6 Queen=16 Bishop=6 Knight=6 Rook=10

I am confusing to use 'start design wizard' of Interactive diagrams. How can I use pieces which have space in their name such as 'asian pawn' or 'dragon king'?

I want explain other pieces of my calculation.

Wazir=4
Ferz=2
Dabbaba=2
Alfil=2
Threeleaper=4
Camel=4
Zebra=8
Tripper=2
Pawn(Shogi)=1
Gold General=5
Silver General=3
King+Bishop=10
King+Rook=12
Cannon=5


Queen(Q)=16(⇒18)
Pawn(P)=1(⇒2)
Bishop(B)=6
Knight(N)=6
Rook(R)=10

It has a possibility that COST is more intrinsic property than VALUE.

My material costs' calculation corresponds to correctness of mathematical quantities.

My calculation can adapt to various pieces.

I have already confirmed that the calculation is corresponding the quantities of pieces' cost on square board and on hexagonal board.

I am now thinking about the difference about meaning of VALUE, COST and PRICE so on.

The figures of value may correspond to the figures of cost that considered about CORRECTION.

I do not the reason until now. I will think about this problem.

The numbers written here are not considered promotion.

A Pawn will almost always be promoted to a Queen, so the value of the Queen to which it is promoted will increase by more than this number. The value of the Pawn will increase also.

Because I thought that the movement of the piece and the name of the piece would make sense. Also, I split the thread because I didn't know how to paste multiple pictures at the same time.