1. Botanical Shapes Generated
by 3rd Data Structure, “Poker“
Toshiki Takahashi
2013/01/31
wyc@tmtoc.com

2. Agenda
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
What is Poker?
Sheaf & Stack, Queue
Quiet Erlang
Queue theory ⊂ Fluid dynamics
Data structure ≡ Fluid dynamics
Poker algorithm
Slot, Casino, Bridge, Sevens, Concentration…
Botanical lifecycle math
Future
Acknowledgements

3. What is Poker?
Selection

4. Sheaf & Stack, Queue
Sheaf:
Stack
Queue

5. Quiet Erlang
“Queue Theory”
Nordic region
・IKEA
・NOKIA
・H&M
・great welfare
“yield” design
A. K. Erlang (1878-1929)

6. Queue theory ⊂ Fluid dynamics
interpretting Erlang’s true intention literally…
Classical Definition
λ・・・wave length
μ・・・friction
  .
ρ・・・density
P・・・pressure
k・・・wave number (de Broglie 1924)
…
Basic data structure ≡ Fluid dynamics !!

7. Data structure ≡ Fluid dynamics
Tube
Hole
Poker
Fluid dynamics

8. Poker algorithm
Array[N]={a, b, c,…};
for(k={0..N}){
Selection=MAX[Array[k]];
do(Selection);
Selection--;
}
Poker

9. Slot, Casino, Bridge, Sevens, Concentration…
7
1
2
3
4
Slot
Sevens
Casino
Bridge
Concentration

10. Botanical lifecycle math
Data structure
Life science
Botanical shape
Slot
Antibody
(S. Tonegawa)
Germ
芽
Stalk
茎
Branch
枝
Leaf
葉
Flower
花
Fruit
実
Casino
Poker
Bridge
Sevens
Concentration
iPSC
(S. Yamanaka)
Physarum
(T. Nakagaki)
Fragment
(R. Okazaki)
Differentiation
(M. Asashima)
Evolution
(M. Kimura)

11. Future
1. Quantum fluid dynamics
:unit structure defined by category theory
:quantization of Erlang’s equation
2. Other data structures & natural algorithms
:complex probability & information
:extraction rules from games (card, roulette..)
3. Mathematics of morphology
:botanical shapes on development
:somatic tissue morphogenesis

12. Acknowledgements
Thanks for sensible discussions with
Hirohisa Nishiwaki, Yosuke Matsui, Yuji
Mori, Manaka Oosone (ANDOR Co., Ltd.)
Taeka Ujino (Meiji Pharm. Univ.)
Takuya Toyoshima, Soichiro Watanabe,
Satoe Ishii, Members of Watanabe Lab
(Toho Univ.)

13. Appendix
Stack
Queue
Poker

14. Appendix