PAPER FOLDING EXPERIMENTS

BY MICHAEL MUCHAI

ACKNOWLEDGEMENTS

I would like to say thank you to my brother James Kiarie, for suggesting I record my work in this format and helping me set up this book, GitHub for hosting my work and all origami artists that have and continue to inspire me.

WHAT THIS BOOK IS

This book is a record of my paper folding experiments. It can be an instruction book for those who would like to try the projects herein.

WHAT THIS BOOK IS NOT

ABOUT THE AUTHOR

Michael Muchai | Email: foldcf@gmail.com | Instagram: @foldcf | Nakuru, Kenya


I fold paper. I also teach, sometimes.

I used to fold origami when I was in primary and secondary school. I was not that serious. I mostly did the common models we taught each other — the boat, the plane, the frog etc. It was fun.

I remember one of my first 'independent discoveries': the space shuttle. Made it when I was in lower primary school, I can't remember exactly when. I made it by adding three paper guns to an inverted paper boat. Felt good.

While in high school, I started to look for instructions online, for example, "how to fold a paper crane, swan, elephant...", and then memorizing the steps. I didn't have a phone then, I used my dad's. Then I stumbled upon this origami fish that had scales (I can't remember the designer.) I was impressed and fascinated. I discovered tessellations within the next few weeks, but I didn't fold one until July 2020. Here is the first tessellation I ever folded:

the_first_tessellation

To date, I have folded more than 100 tessellations, sold some and taught paper folding both locally and internationally. I think tessellations are cool. It's always fun to teach and fold them.


WHAT I HOPE FOR

I hope to organise and record my work. I hope to share a few ideas. I hope to inspire others to fold. I hope you try folding some of these models.

MY ASSUMPTIONS

  1. You are not new to paper folding.

  2. You are interested in tessellations.

  3. You know how to read crease patterns.

  4. You know how to prepare a triangular grid.

  5. You know how to fold the basic twists:

    • Open and closed triangle twists

    • Open and closed hexagon twists

SECTION 1: MATHS

A USEFUL FORMULA

ABOUT THE MOLECULE

STEPS

FREE FROM THE MARGINS

SECTION 2: FIGURATIVE MODELS

THE SPACE SHUTTLE

ABOUT THE MODEL

STEPS

A SMALL BOAT

a_small_boat_19

ABOUT THE MODEL

I developed this model in June 2023. It is a simple one. I recommend using thick paper to allow wet-folding.


STEPS

(If you are using your phone to view this page, you'll see the images below better in landscape orientation.)

a_small_boat_1Start with a rectangular sheet of paper.
a_small_boat_2Make alternating mountain and valley folds.
a_small_boat_3Fold into an accordion shape.
a_small_boat_4Get the center, unfold.
a_small_boat_5Towards one side (from the center) fold the model into a C shape.
a_small_boat_6Repeat on the other side.
a_small_boat_7Unfold.
a_small_boat_8 a_small_boat_9Convert all the zigzags formed in step 5 and 6 into mountain folds. You'll notice that the boat is slowly taking shape. Continue reinforcing the mountain folds.
a_small_boat_10 a_small_boat_11Notice that once a mountain fold crosses a zigzag, it changes to a valley fold; and a valley fold becomes a mountain fold.
a_small_boat_12 a_small_boat_13Push the three central mountain folds downwards.
a_small_boat_14 a_small_boat_14_5Spray some water in the regions circled and tie with a rubber band/clip. Allow it to dry.
a_small_boat_15Done.

a_small_boat_19 a_small_boat_16 a_small_boat_17 a_small_boat_18

THE DODECAGON WHEEL

ABOUT THE MODEL

STEPS

A simple peacock

SINGLE-STRIP SQUARE SPRING

ABOUT THE MODEL

STEPS

SINGLE-STRIP CUBES

ABOUT THE MODEL

STEPS

HEATHEN 1.0.1.0.1

ABOUT THE MODEL

STEPS

CROWN OF THORNS

ABOUT THE MODEL

STEPS

SECTION 3: MOLECULES

THE FLOATING TRIANGLE 1

ABOUT THE MOLECULE

STEPS

THE FLOATING TRIANGLE 2

ABOUT THE MOLECULE

STEPS

REWIND 1 TO 5

ABOUT THE MOLECULES

STEPS

REWIND 6

ABOUT THE MOLECULE

STEPS

REWIND 7

ABOUT THE MOLECULE

STEPS

REWIND 8

ABOUT THE MOLECULE

STEPS

TRIFOLIATE 1, 2 AND 3

ABOUT THE MOLECULE

STEPS

SHUTTER

ABOUT THE MOLECULE

STEPS

INTERLUDE

ABOUT THE MOLECULE

STEPS

PILGRIM 1 AND 2

ABOUT THE MOLECULES

STEPS

PILGRIM 3 AND 4

ABOUT THE MOLECULES

STEPS

PILGRIM 5

ABOUT THE MOLECULE

STEPS

STADIUM

ABOUT THE MOLECULE

STEPS

3-1 HEX PLATFORM

ABOUT THE MOLECULE

STEPS

PILGRIM 6

ABOUT THE MOLECULE

STEPS

HOLLOW STAR

ABOUT THE MOLECULE

STEPS

THREE KITES

ABOUT THE MOLECULE

STEPS

OVERLAPPING KITES

ABOUT THE MOLECULE

STEPS

CRISSCROSS

ABOUT THE MOLECULE

STEPS

STYX

ABOUT THE MOLECULE

STEPS

AQUEDUCT

ABOUT THE MOLECULE

STEPS

ALETHEIA 1 AND 2

ABOUT THE MOLECULES

STEPS

ALETHEIA 3

ABOUT THE MOLECULE

STEPS

ALETHEIA 4

ABOUT THE MOLECULE

STEPS

ALETHEIA 5 AND 6

ABOUT THE MOLECULES

STEPS

TRANSIT

SECTION 4: TESSELLATIONS

A SIMPLE FACE

ABOUT THE MODEL

STEPS

PETALS

ABOUT THE TESSELLATION

STEPS

SIX WALLS

ABOUT THE TESSELLATION

STEPS

THREE KITES TESSELLATION

ABOUT THE TESSELLATION

STEPS

THE ASCENT

ABOUT THE TESSELLATION

STEPS

THE HEXAGONAL TESSELLATION THAT CURLS

ABOUT THE TESSELLATION

STEPS

CRISSCROSS TESSELLATION

ABOUT THE TESSELLATION

STEPS

STYX TESSELLATION

ABOUT THE TESSELLATION

STEPS

FANS

ABOUT THE TESSELLATION

STEPS

CHISELED 1

ABOUT THE TESSELLATION

STEPS

CHISELED 2

ABOUT THE TESSELLATION

STEPS

FROSTING

ABOUT THE TESSELLATION

STEPS

STARCUP

ABOUT THE TESSELLATION

STEPS

MEREDITH 1

ABOUT THE TESSELLATION

STEPS

MEREDITH 2

ABOUT THE TESSELLATION

STEPS

LET'S GO HOME

ABOUT THE TESSELLATION

STEPS

WONDER 1

ABOUT THE TESSELLATION

STEPS

WONDER 2

ABOUT THE TESSELLATION

STEPS

WONDER 3

ABOUT THE TESSELLATION

STEPS

WONDER 4

ABOUT THE TESSELLATION

STEPS

'CUBES'

ABOUT THE TESSELLATION

STEPS

TURBINE VS REWIND 3

ABOUT THE TESSELLATION

STEPS

SAMARITAN VS REWIND 3

ABOUT THE TESSELLATION

STEPS

STADIUM VS REWIND 3

ABOUT THE TESSELLATION

STEPS

REWIND 3 VS REWIND 5

ABOUT THE TESSELLATION

STEPS

ALETHEIA 1 TESSELLATION

ABOUT THE TESSELLATION

STEPS

ALETHEIA 2 TESSELLATION

ABOUT THE TESSELLATION

STEPS

SECTION 5: FRACTALS

THE FLOATING TRIANGLE FRACTAL

ABOUT THE MODEL

STEPS

PILGRIM 7

ABOUT THE MODEL

STEPS

CLOSING REMARKS