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Origami Masu by Dave Brill

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Page 1: Masu

Origami Masu

by

Dave Brill

Page 2: Masu

Origami Masu

Copyright Dave Brill 2002

Page 3: Masu

12

Origami Masu

Dave Brill

Contents

2 Introduction

3 Square Masu

9 Pentagonal Masu

Page 4: Masu

2

Introduction

Wh

at’

s a

ma

su

? I

t’s

a s

ma

ll J

ap

an

es

e w

oo

de

n b

ox

us

ed

in

fo

rme

r ti

me

s

for

me

as

uri

ng

ric

e o

r b

ea

ns

. It

’s n

ow

mo

re f

req

ue

ntl

y u

se

d a

s a

cu

p f

or

dri

nk

ing

sa

ke

at

we

dd

ing

s o

r in

re

sta

ura

nts

an

d b

ars

.

As

a s

ub

jec

t fo

r a

n o

rig

am

i d

es

ign

, it

’s n

ot

ne

w:

the

cla

ss

ic o

rig

am

i b

ox

m

ad

e f

rom

a b

lintz

ed

sq

ua

re i

s a

sim

ple

fo

ld p

op

ula

r w

ith

be

gin

ne

rs a

nd

e

xp

ert

s a

like

. I

firs

t s

aw

a r

ea

l w

oo

de

n m

as

u i

n K

yo

to i

n 1

99

3,

wh

en

I w

as

str

uc

k b

y

the

be

au

ty o

f th

e s

imp

le b

ox

sh

ap

e,

the

wa

rmth

of

the

wo

od

, th

e e

leg

an

t p

rop

ort

ion

s a

nd

th

e p

rec

isio

n o

f th

e j

oin

ts.

It w

as

n’t

un

til

aft

er

my

re

turn

to

En

gla

nd

, w

hile

cu

rsin

g m

ys

elf

fo

r n

ot

ha

vin

g b

ou

gh

t o

ne

, th

at

I

res

olv

ed

to

try

an

d d

es

ign

an

ori

ga

mi

ve

rsio

n.

My

aim

wa

s t

o r

ep

rod

uc

e

the

de

pth

of

the

wa

lls w

ith

an

in

ne

r la

ye

r, a

t th

e s

am

e t

ime

att

em

pti

ng

to

im

ita

te t

he

ma

su

’s s

imp

licit

y a

nd

co

mp

lete

ne

ss

of

form

.

Wo

rkin

g f

rom

me

mo

ry,

I fo

un

d t

ha

t a

n A

4 r

ec

tan

gle

ga

ve

me

th

e

req

uir

ed

str

uc

ture

: I

bo

rro

we

d f

old

ing

id

ea

s f

rom

Sh

uz

o F

ujim

oto

on

th

e

wa

y,

na

me

ly t

he

ite

rati

ve

div

isio

n i

nto

fiv

e e

qu

al

pa

rts

, th

e t

wis

t lo

ck

w

hic

h f

orm

s t

he

ba

se

of

the

in

ne

r la

ye

r, a

nd

th

e f

ina

l ro

tati

ng

lo

ck

on

th

e

ou

tsid

e w

hic

h p

ay

s t

rib

ute

to

Fu

jimo

to’s

ma

ste

rfu

l c

ub

e.

On

a r

etu

rn v

isit

to

Ky

oto

, I

did

bu

y t

hre

e m

as

u o

f d

iffe

ren

t s

ize

s,

an

d I

w

as

de

ligh

ted

to

fin

d t

ha

t m

y o

rig

am

i v

ers

ion

ma

tch

ed

alm

os

t e

xa

ctl

y t

he

d

ime

ns

ion

s o

f th

e m

idd

le-s

ize

d o

ne

! M

ak

e a

Fu

jimo

to c

ub

e f

rom

a 1

5 c

m s

qu

are

, a

nd

yo

u’ll

fin

d i

t fi

ts

pe

rfe

ctl

y i

nto

th

e A

4 s

qu

are

ma

su

. D

av

e B

rill

Po

yn

ton

O

cto

be

r 2

00

2

11

Page 5: Masu

10

3

Square Masu

Page 6: Masu

4

9

Pentagonal Masu

Page 7: Masu

8

The pentagonal variation

T

he

pe

nta

go

na

l m

as

u d

oe

s n

ot

rea

lly e

xis

t o

uts

ide

ori

ga

mi,

bu

t h

av

ing

a

ch

iev

ed

a r

ea

so

na

ble

sq

ua

re r

es

ult

fro

m a

n A

4 r

ec

tan

gle

, I

so

on

ha

d t

he

id

ea

th

at

I c

ou

ld m

ak

e u

se

of

the

ap

pro

xim

ate

pe

nta

go

na

l g

eo

me

try

of

the

A4

re

cta

ng

le.

I h

ad

da

bb

led

wit

h t

his

co

nc

ep

t b

efo

re,

pro

du

cin

g a

d

od

ec

ah

ed

ron

an

d v

ari

ou

s o

the

r m

od

ula

r c

on

str

uc

tio

ns

. T

he

fo

llow

ing

d

es

ign

is

th

e

res

ult

. W

he

rea

s

it

is

po

ss

ible

to

m

ak

e

the

s

qu

are

ma

su

fro

m a

re

cta

ng

le o

the

r th

an

an

A4

(p

rov

idin

g i

t is

of roughly

th

e s

am

e p

rop

ort

ion

!),

yo

u m

us

t u

se

an

A4

fo

r th

e p

en

tag

on

al

ma

su

in

o

rde

r to

ta

ke

a

dv

an

tag

e

of

the

n

ec

es

sa

ry,

alb

eit

a

pp

rox

ima

te,

hid

de

n

pe

nta

go

na

l g

eo

me

trie

s w

ith

in.

5

Page 8: Masu

6

7