The STEMCELL Innovation Pyramid: How Organizations Can Rapidly Gain Sustainable Innovation Advantage in a VUCA World

Organiza(on Periodic Table (OPT) for Greater World Peace, Understanding, and Prosperity
“Universally Classify the World’s Objects.” Dr. Rod King. rodkuhnhking@gmail.com & @rodKuhnKing
STEMCELL Innova-on Pyramid for Crea-ng a Value Innova-on Economy (VIE)

S.T.E.M.
q  Future q  Present q  Past
u  Science
u  Technology
u  Engineering
u  Mathema=cs


C.E.L.L.
S.T.E.M.
u  Science
u  Technology
u  Engineering
u  Mathema=cs
u  Culture (Habit; Values)
u  Entertainment (Value)
u  Language (Communica=on)
u  Literature (StoryModeling)

“Every Project or Task is
A Game of End, Ways, and Means
in Space and Time.”
PROJECT GAMIFICATION

WHEN
Time
WHERE
Space/
Context
STEMCELL
INNOVATION
PYRAMID
6 Ques(on (6Q)-Roadmap for the STEMCELL Innova(on Pyramid
Visually Document, Organize, Manage, and Evaluate as well as Gamify [STEMCELL] Projects

WHO
WHEN
Time
WHY (End)
WHERE
Space/
Context
WHAT (Ways)
STEMCELL
INNOVATION
PYRAMID
HOW (Means)

WHO
WHEN
Time
WHY (End)
WHERE
Space/
Context
WHAT (Ways)
STEMCELL
INNOVATION
PYRAMID
HOW (Means)
When to gamify?
Where to gamify?

WHO
WHEN
Time
WHY (End)
WHERE
Space/
Context
WHAT (Ways)
STEMCELL
INNOVATION
PYRAMID
HOW (Means)
When to gamify?
Where to gamify?
Who to gamify for?
Why gamify?
What to gamify?
How to gamify?

(Blank/Organic) Project Plan Galaxy for …....................................
WHERE (Context/Environment): .................................................................................................
Pain/Delight (-/+): ….....
876
4
1
5
32
Problem/Job To Get Done (JTGD): ......................................................
…............WHO................

0
W
H
Y
W
H
A
T
H
O
W


C.E.L.L.
S.T.E.M.
u  Science
u  Technology
u  Engineering
u  Mathema=cs
WHEN


C.E.L.L.
S.T.E.M.
u  Science
u  Technology
u  Engineering
u  Mathema=cs
WHEN
WHERE


C.E.L.L.
S.T.E.M.
WHO
u  Science
u  Technology
u  Engineering
u  Mathema=cs


C.E.L.L.
S.T.E.M.
HOW
WHO
WHY (End) HOW (Means)
u  Science
u  Technology
u  Engineering
u  Mathema=cs
WHAT (Ways/Strategy: Value Innova=on PlaZorm)


C.E.L.L.
S.T.E.M.
HOW
WHO
Universal Problem Solving & Project Mngt P.I.E.S. Happiness Hierarchy (in Community)
u  Science
u  Technology
u  Engineering
u  Mathema=cs


C.E.L.L.
S.T.E.M.
Universal Problem Solving & Project Mngt
HOW
WHO
P.I.E.S. Happiness Hierarchy (in Community)
q  Spiritual Needs, Goals, Jobs, and
Happiness Criteria
q  Intellectual Needs, Goals,
Jobs, and Happiness Criteria
q  Physical Needs, Goals,
q  Emo(onal Needs, Goals, Jobs, and
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs


C.E.L.L.
S.T.E.M.
HOW
WHO
P.I.E.S. Happiness Hierarchy (Generic)
Happiness Criteria
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
•  Status
•  Enlightenment
•  Spirituality
•  Atonement
•  Entertainment
•  Networking
•  Socializa_on
•  Community
•  Wisdom; Order
•  Knowledge
•  Ideas/Crea_vity
•  Informa_on/Data
•  Problem-Solving
•  Rhetoric
•  Trading
•  Decisions
•  Travel
•  Finance/Wealth
•  Health
•  Safety/Protec_on
•  Clothing
•  Housing
•  Food
•  Energy
•  Peace of Mind
•  Self-expression
•  Autonomy/Power
•  Oneness/Altruism
•  Crowdsourcing
•  Romance
•  Loyalty
•  Sex; Beauty


C.E.L.L.
S.T.E.M.
HOW
WHO
P.I.E.S. Happiness Hierarchy (Maslow’s)
Happiness Criteria
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
•  Wisdom
•  Knowledge
•  Facts
•  Problem-Solving
•  Food
•  Water
•  Health
•  Protec_on
•  Breathing
•  Sleep
•  Safety
•  Security
•  Self-actualiza_on
•  Self Esteem
•  Status
•  Pres_ge
•  Reputa_on
•  Morality
•  Spontaneity
•  Mastery
•  Belonging
•  Love
•  Family
•  Sexual In_macy
•  Aesthe_cs
•  Friendship
•  Community
•  Empathy


C.E.L.L.
S.T.E.M.
HOW
WHO
P.I.E.S. Happiness Hierarchy (Reiss’s)
Happiness Criteria
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
•  Teachers; Educa_onal Policies; Literature
•  Curiosity; Intui_on; Cri_cal Capacity
•  Analyze; Study; Inves_gate; Meditate
•  Imagina_on; Boldness; Inven_veness
•  Invent; Design; Compose; Interpret
•  Food; Shelter; Health
•  Physical Health; Mental Health
•  Feed; Clothe; Work; Rest
•  Social Security; Finance
•  Take care; Plan; Help
•  Equal Rights
•  Autonomy; Self Esteem; Passion
•  Open-mindedness
•  Idealism/Social Jus_ce
•  Family; Friendships; Rela_onships
•  Respect; Humor; Generosity; Sensuality
•  Love; Emo_onally Express; Share; Care
•  Values; Norms; Customs
•  Self-awareness/growth
•  Self-esteem; Belonging
•  Commitment


C.E.L.L.
S.T.E.M.
HOW
WHO
P.I.E.S. Happiness Hierarchy (Aspira_ons)
Happiness Criteria
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
•  Gain Recogni_on
•  Gain Mastery
•  Be Enlightened
•  Customize Object
•  Entertain
•  Network
•  Socialize
•  Be Emo_onal
•  Gain Wisdom
•  Gain Knowledge
•  Organize Ideas
•  Discover Objects
•  Solve Problems
•  Predict
•  Trade
•  Decide/Learn
•  Travel
•  Be Wealthy
•  Be Healthy
•  Be Safe
•  Have Clothing
•  Have House
•  Have Food
•  Have Energy
•  Be a Hero; Win
•  Improve Society
•  Obtain Jus_ce
•  Tell Epic Story
•  Bond/Team
•  Be Roman_c
•  Be Loyal
•  Be Sexy


C.E.L.L.
S.T.E.M.
HOW
WHO
Happiness Criteria
-  Peace of Mind (Stress-free; Enlightenment; Freedom;
Empowerment; Self-actualiza_on; Legacy)

-  Simplicity (Complexity)
-  Time (Delay)
-  Risk
-  Performance (Func_onality)
-  Quality (Defects)
-  Cost (Revenue; Size)
-  Accessibility (Convenience)
Happiness Criteria
-  Social Aura (Brand/Status); Novelty/Aesthe_cs
-  Interac_vity (Customiza_on; Socializa_on; Fun)
u  Science
u  Technology
u  Engineering
u  Mathema=cs


C.E.L.L.
S.T.E.M.
HOW
WHO
-  Time (Delay)
-  Risk
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
Happiness Criteria

PROBLEM/CHALLENGE:
Trade-oﬀ (Delight/Pain: +/-); Constraints


C.E.L.L.
S.T.E.M.
HOW
WHO
-  Time (Delay)
-  Risk
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
Happiness Criteria

PROBLEM/CHALLENGE:
Strategic Problem
Discovery & Solving
(Games)/
Resources (Int./Ext.)
Tac(cal Problem
Discovery & Solving
(Games)/


C.E.L.L.
S.T.E.M.
HOW
WHO
-  Time (Delay)
-  Risk
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
Happiness Criteria

Strategic Problem
Discovery & Solving
(Games)/
Tac(cal Problem
Discovery & Solving
(Games)/
PROBLEM/CHALLENGE:


HOW
WHO
PROBLEM/CHALLENGE:
-  Time (Delay)
-  Risk
Happiness Criteria
u  Science
u  Technology
u  Engineering
u  Mathema=cs
Happiness Criteria

Value
Capture/
Delivery
Value Crea(on
Strategic Problem
Discovery & Solving
(Games)/
Tac(cal Problem
Discovery & Solving
(Games)/


HOW
WHO
-  Time (Delay)
-  Risk
Happiness Criteria
Happiness Criteria

Value
Capture
(Sharing)
Value Crea(on
Demand Genera(on
& Value Delivery
PROBLEM/CHALLENGE:
Strategic Problem
Discovery & Solving
(Games)/
Tac(cal Problem
Discovery & Solving
(Games)/


Value
Capture
(Sharing)
Value Crea(on
HOW
WHO
-  Time (Delay)
-  Risk
Happiness Criteria
Happiness Criteria

²  Key Resources (KR)
²  Key Ac-vi-es (KA); Processing
²  Key Partners (KP); Input/Suppliers
²  Proﬁt (P$); Value
²  Revenue (R$); Delight
²  Cost (C$); Pain
²  Customer Segments (CS)
²  Channels (CH)
²  Customer Rela=onships (CR)
²  Value Proposi-on (VP); Output
PROBLEM/CHALLENGE:
Demand Genera(on
& Value Delivery
Strategic Problem
Discovery & Solving
(Games)/
Tac(cal Problem
Discovery & Solving
(Games)/

Tradi-onal STEM vs. STEMCELL Innova-on Pyramid Educa-on
Strategies & Tac=cs for Gaining Global Compe==ve Advantage (in Ins=tu=onal Capital)
ITEM Tradi(onal STEM
Educa_on/Framework
STEMCELL Innova(on Pyramid
Educa_on/Framework
DISCIPLINES/
ACRONYM
Science; Technology; Engineering;
Mathema_cs (STEM)
Mathema_cs; Culture; Entertainment;
Language; Literature (STEMCELL)
PROBLEM TO BE
SOLVED/CRISIS
Growing deﬁcit of professionals in
STEM disciplines; Compe--ve Disadv.
Underdevelopment/Poverty; Fragmented
& Boring Educa-on; Slow Value Innova-on
DESIRED OUTCOME More Technologists (“Techies”);
Bemer Test Result in Int. STEM Tes_ng
High Growth Value Innova_on Economy;
More Genius Innovators & Polymaths (GIPs)
TRAINING STRATEGY Tradi_onal (Didac_c) Teaching;
Tradi_onal Problem Solving &
Learning
Problem & Project-Based Learning;
Accelerated Learning; Universal Problem
Solving & Project Management (UPSPM)
LEARNING STRATEGY Rote Memoriza_on Value Innova_on Planorm (VIP)
LEARNING TACTICS Rote Learning; Reproduc_ve Thinking;
Tests; Exams
Discovery-Driven Learning; GIP (Holis_c)
Thinking; Games; Contests; Projects
TOOLS Tradi_onal Learning Tools for
Mastering STEM
Accelerated Learning Tools for Mastering
STEMCELL; OTHER Loop; OPT; Galaxy
GAMIFICATION Implicit and Incidental Games Explicit and Designed Games (for Teams)
RESOURCES Tradi_onally Available Resources Innova_ve & Gamiﬁca_on Resources
DIS/ADVANTAGES Neglect of the “Arts”; Fragmenta_on Simpler; Faster; Funner; Scalable Tools

Tradi-onal STEM vs. STEMCELL Innova-on Pyramid Educa-on
Strategies & Tac=cs for Gaining Global Compe==ve Advantage (in Ins=tu=onal Capital)
ITEM Tradi(onal STEM
Educa_on/Framework
STEMCELL Innova(on Pyramid
Educa_on/Framework
DISCIPLINES/
ACRONYM
Mathema_cs (STEM)
Mathema_cs; Culture; Entertainment;
Language; Literature (STEMCELL)
PRE-SCHOOL
LEVEL
PRIMARY
LEVEL
SECONDARY
LEVEL

TERTIARY
LEVEL
PROFESSIONAL
LEVEL

Happiness Canvas for Categories of Industry
What Customers Really Want
INDUSTRY
(JOB TO GET
DONE/Tools)
M I N I M I Z E (Eliminate; Reduce) M A X I M I Z E (Increase; Create)
Cost Inaccessi-
bility
Comple-
xity
Time
(Delay)
Risk Perform-
ance
Quality Social
Aura
Inter-
ac(vity
Peace of
Mind
APPAREL
RETAIL
ü  ü  ü  ü  ü 
AUTO
INSURANCE
ü  ü  ü  ü  ü 
BROKERAGE ü  ü  ü  ü  ü 
CONSUMER
BANKING
ü  ü  ü  ü 
CREDIT CARDS ü  ü  ü  ü  ü 
DISCOUNT
RETAIL
ü  ü  ü  ü  ü 
FOOD &
BEVERAGES
ü  ü  ü 
GROCERY ü  ü  ü  ü 
SMARTPHONES ü  ü  ü 
TV SERVICE
PROVIDERS
ü  ü  ü  ü 
Based on: “The Elements of Value” by Eric Almquist et al in: Harvard Business Review September 2016, pp. 47-53

Happiness Canvas for Categories of Impacts
What Customers Really Want
IMPACTS
(JOB TO GET
DONE/Tools)
M I N I M I Z E (Eliminate; Reduce) M A X I M I Z E (Increase; Create)
Cost Inaccessi-
bility
Comple-
xity
Time
(Delay)
Risk Perform-
ance
Quality Social
Aura
Inter-
ac(vity
Peace of
Mind
CUSTOMER
ENGAGEMENT
CUSTOMER
SATISFACTION
CUSTOMER
LOYALTY
COST
REDUCTION
REVENUE
INCREASE
PROFITABILITY
Based on: “The Elements of Value” by Eric Almquist et al in: Harvard Business Review September 2016, pp. 47-53

I.C.E. Stakeholders of STEMCELL Innova-on Pyramid

CUSTOMER ENTERPRISE
INVESTOR


CUSTOMER ENTERPRISE
INVESTOR
WHO


CUSTOMER
(Demand Resources)
ENTERPRISE
(Supply Resources)
INVESTOR
(Value Resources)
WHO


CUSTOMER
(Demand Resources:
Value Delivery)
ENTERPRISE
(Supply Resources:
Value Crea=on)
INVESTOR
(Value Resources: Value Capture/Sharing)
WHO

SMALL MULTIPLICATION
GALAXY
M: MATHEMATICS

TRADITIONAL MULTIPLICATION TABLE vs. SMALL MULTIPLICATION GALAXY
STEMCELL Strategies for Gaining Global Compe==ve Advantage (in Ins=tu=onal Capital)
ITEM TRADITIONAL
MULTIPLICATION TABLE
SMALL MULTIPLICATION GALAXY

DISCIPLINES/
ACRONYM
Mathema(cs: Mul_plica_on

Mathema(cs: Mul_plica_on as well as
Addi_on and Division
PROBLEM TO BE
SOLVED/CRISIS
Inability to mul-ply single digit
numbers and selected double digits
Inability to (rapidly) mul-ply single,
double, and mul-ple digit-numbers
DESIRED OUTCOME Mastery of mul=plica=on:
1 to 12
Mastery of mul=plica=on, addi=on, and
division: 1-10; 11-19; 1, 2, and 3-digit nos.
TRAINING STRATEGY Didac=c Teaching;
Reproduc=ve Learning
Problem & Project-Based Learning;
Accelerated Learning
LEARNING STRATEGY Rote Memoriza=on And Reproduc=on Pakern And Object Thinking; Deduc=on
LEARNING TACTICS Mini-quizzes Discovery-Driven Learning & Produc=ve
Thinking; Games; Contests; Projects
TOOLS Mul=plica=on charts; “Hot mental”
for Mastering Mul=plica=on (1 to 12)
Accelerated Learning & Gamiﬁed Tools for
Mastering Mul=plica=on; Addi=on; Division
GAMIFICATION Quizzes; Tests Team Games/Puzzles; Quizzes/Contests
RESOURCES Tradi=onal Mul=plica=on Table Small Mul=plica=on Galaxy: Games/Puzzles
DIS/ADVANTAGES Slow and Diﬃcult to Learn Simpler; Faster; Funner; Scalable Games

CUSTOMER PERSPECTIVE

PROVIDER’S PERSPECTIVE
q  “[w]ill give kids the opportunity to
build their self efficacy, become
role models ...”
q  “[o]pportunity to interact with
technology …”
q  “[e]ngage(d) between 600 - 100
kids in both Bo and Kenema
a[er the end of six months.”
STEM Gamifica(on
q  S: Science
q  T: Technology
q  E: Engineering
q  M: Mathema(cs

CELL Gamifica_on
q  C: Culture
q  E: Entertainment
q  L: Language
q  L: Literature

ACTIVITIES/TEAM GAMES
1.  Learning GAMES
2.  Making GAMES
3.  Connec=ng GAMES
4.  Quiz compe==ons
5.  ROLE PLAY/ACTING
6.  Field trip (GAMES)

SPONSOR’S PERSPECTIVE

Project Gamifica(on Galaxy for “STEM for Change in Sierra Leone”
ü  Future q  Present q  Past
WHERE (Context/Environment): Sierra Leone (Bo/Kenema)
Pain/Delight (-/+): ….....
876
4
1
5
32
Problem/Job To Get Done (JTGD): Play STEM Games 24x7?
…............WHO................
YOUNG GIRLS (Ages 3-6)

0
W
H
Y
W
H
A
T
H
O
W
WHEN

A Simpler, Faster, and Scalable Method to Mul=ply Small Numbers
x (of) 1 2 3 4 5 6 7 8 9 10
1

2
3
4
5
6

7
8
9
10

x (of) 1 2 3 4 5 6 7 8 9 10
1

2
3
4
5
6

7
8
9
10
5 Fingers
of HAND
5 Fingers
of HAND

x (of) 1 2 3 4 5 6 7 8 9 10
1
2
3
4
5
6
7
8
9
10

x (of) 1 2 3 4 5 6 7 8 9 10
1 01 02 03 04 05 06 07 08 09 10
2 02 04 06 08 10 12 14 16 18 20
3 03 06 09 12 15 18 21 24 27 30
4 04 08 12 16 20 24 28 32 36 40
5 05 10 15 20 25 30 35 40 45 50
6 06 12 18 24 30 36 42 48 54 60
7 07 14 21 28 35 42 49 56 63 70
8 08 16 24 32 40 48 56 64 72 80
9 09 18 27 36 45 54 63 72 81 90
10 10 20 30 40 50 60 70 80 90 100

x (of) 1 2 3 4 5 6 7 8 9 10
1 01 02 03 04 05 06 07 08 09 10
2 02 04 06 08 10 12 14 16 18 20
3 03 06 09 12 15 18 21 24 27 30
4 04 08 12 16 20 24 28 32 36 40
5 05 10 15 20 25 30 35 40 45 50
6 06 12 18 24 30 36 42 48 54 60
7 07 14 21 28 35 42 49 56 63 70
8 08 16 24 32 40 48 56 64 72 80
9 09 18 27 36 45 54 63 72 81 90
10 10 20 30 40 50 60 70 80 90 100
2 x 2 = ? 2 x 5 = ? 2 x 7 = ?
One-Digit Mul_plica_on

x (of) 1 2 3 4 5 6 7 8 9 10
1 01 02 03 04 05 06 07 08 09 10
2 02 04 06 08 10 12 14 16 18 20
3 03 06 09 12 15 18 21 24 27 30
4 04 08 12 16 20 24 28 32 36 40
5 05 10 15 20 25 30 35 40 45 50
6 06 12 18 24 30 36 42 48 54 60
7 07 14 21 28 35 42 49 56 63 70
8 08 16 24 32 40 48 56 64 72 80
9 09 18 27 36 45 54 63 72 81 90
10 10 20 30 40 50 60 70 80 90 100
2 x 45 = ? 7 x 45 = ? 2 x 89 = ? 7 x 89 = ?
Two-Digit “HORIZONTAL” Mul_plica_on

x (of) 1 2 3 4 5 6 7 8 9 10
1 01 02 03 04 05 06 07 08 09 10
2 02 04 06 08 10 12 14 16 18 20
3 03 06 09 12 15 18 21 24 27 30
4 04 08 12 16 20 24 28 32 36 40
5 05 10 15 20 25 30 35 40 45 50
6 06 12 18 24 30 36 42 48 54 60
7 07 14 21 28 35 42 49 56 63 70
8 08 16 24 32 40 48 56 64 72 80
9 09 18 27 36 45 54 63 72 81 90
10 10 20 30 40 50 60 70 80 90 100
32 x 2 = ? 32 x 45 = ? 32 x 7 = ? 32 x 89 = ? 7 x 89 = ?
One & Two-Digit Mul_plica_on

x (of) 1 2 3 4 5 6 7 8 9 10
1 01 02 03 04 05 06 07 08 09 10
2 02 06 12 20
3 03 09 18 30
4 04 08 12 16 20 24 28 32 36 40
5 05 10 15 20 25 30 35 40 45 50
6 06 12 18 24 30 36 42 48 54 60
7 07 14 21 28 35 42 49 70
8 08 16 24 32 40 48 56 64 72 80
9 09 18 27 36 45 54 63 72 81 90
10 10 20 30 40 50 60 70 80 90 100
32 x 2 = ? 32 x 45 = ? 32 x 7 = ? 32 x 89 = ? 7 x 89 = ?

x (of) 1 2 3 4 5 6 7 8 9 10
1 01 02 03 04 05 06 07 08 09 10
2 02 06 12 20
3 03 09 18 30
4 04 08 12 16 20 24 28 32 36 40
5 05 10 15 20 25 30 35 40 45 50
6 06 12 18 24 30 36 42 48 54 60
7 07 14 21 28 35 42 49 70
8 08 16 24 32 40 48 56 64 72 80
9 09 18 27 36 45 54 63 72 81 90
10 10 20 30 40 50 60 70 80 90 100
32 x 2 = ? 32 x 45 = ? 32 x 7 = ? 32 x 89 = ? 7 x 89 = ?
$100
for
32x2
$200
for
32x45
$150
for
32x7
$300
for
32x89
$175
for 7x89

2 x 45 =
x (of) 4 5
2 08 10
9
0
0
9 0 0
5 Steps for Using Ecy’s Mul_plica_on Galaxy
1.  Draw a square grid: 3x3, 4x4, 5x5, …
2.  Write the digits to be mul_plied in the
direc_on indicated by the x and y axes
3.  Fill in cells by mul_plying digits
4.  Add result of cell along each diagonal arrow
to obtain a total for each circle
5.  Product is number deﬁned by a sequence of
digits going in an an_-clockwise direc_on
One & Two-Digit “HORIZONTAL” Mul_plica_on: Right-to-les Addi=on (vs. Les-to-right Addi=on)
7 x 89 =
x (of) 8 9
7 56 63
2
3
6
2 3 6
Faster Alterna_ve
2 x 45 = (08) (10) = 0 90

Faster Alterna_ve
7 x 89 = (56) (63) = 6 23

8+1= 9 6+6= 12

32 x 2 =
x (of) 0 2
2 0 4
3 0 6
6
4
0
6 4 0
2x2 Mul_plica_on
One & Two-Digit “VERTICAL” Mul_plica_on: Right-to-les Addi=on (vs. Les-to-right Addi=on)
32 x 45 =
x (of) 4 5
2 8 10
3 12 15
4
0
14
4 0 14

CLASSIC MULTIPLICATION
GALAXY
M: MATHEMATICS

32 x 21 =
x 2 1
2 4 2
3 6 3
7
2
6
7 2 6 212 x 231 =
x 2 3 1
2 4 6 2
1 2 3 1
2 4 6 2
7
2
9
8 9 4
8 4
2 7
2x2 Mul_plica_on 3x3 Mul_plica_on

……. x ….… =
x
…..… x ……. =
x

1263 x 5974 = 7,545,162
x 5 9 7 4
3 15 27 21 12
6 30 54 42 24
2 10 18 14 8
1 5 9 7 4
6
2
1
25,781 x 12,457 = 321,153,917
x 1 2 4 5 7
1 1 2 4 5 7
8 8 16 32 40 56
7 7 14 28 35 49
5 5 10 20 25 35
2 2 4 8 10 14
1
7
9
5 4 5 7
4x4 Digit Mul_plica_on 5x5 Mul_plica_on
2 3 5
4.  Add result of cell along each diagonal
arrow to obtain a total for each circle
5.  Product is number deﬁned by sequence
of digits going in an_-clockwise direc_on
3
1 1
A Simpler, Faster, and Scalable Method to Mul=ply Large Numbers

………… x ……….. = ………………
x
………….. x ………….. = …………..…………..
x
A Simpler, Faster, and Scalable Method to Mul=ply Large Numbers

Ecy’s Mul(plica(on Galaxy
Is a Discovery and Presenta_on by
Dr. Rod King
(rodkuhnhking@gmail.com)
This Discovery is Dedicated to Our Daughter, Ecy King

x 6
30
2 4
x 2 1
9 6
2
3
Challenge: Complete, without using a calculator, the Mul=plica=on Galaxy to obtain the product of
the original two numbers.
25 x 6 = 2 x =

………. x ………. = …………….
x 3 2 1 1
3 9 6 3 3
4 12 8 4 4
1 3 2 1 1
2 6 4 2 2
………… x …………. = ………………..
x 2 0 1 4 3
1 2 0 1 4 3
4 8 0 4 16 12
2 4 0 2 8 6
3 6 0 3 12 9
1 2 0 1 4 3
Challenge: Find, without using a calculator, the original two numbers that are mul=plied as well as
the product for the Mul=plica=on Galaxies below.

………. x ………. = …………….
x
6 3 3
12 8 4
3 1 1
4 2 2
………… x …………. = ………………..
x
2 1 4 3
8 0 4
0 2 8
6 12 9
1 4
Challenge: Find, without using a calculator, the original two numbers that are mul=plied as well as
the product for the Mul=plica=on Galaxies below.

The STEMCELL Innovation Pyramid: How Organizations Can Rapidly Gain Sustainable Innovation Advantage in a VUCA World

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The STEMCELL Innovation Pyramid: How Organizations Can Rapidly Gain Sustainable Innovation Advantage in a VUCA World