# Pentagonal tiling #tessellations, Part 3

### Apprenticeship

Most of us learn the easy/best way. Look at the masters, follow their path and learn all that we can from them. Replicate their artwork. It is a long process, especially without any direction or assistance from a teacher. This is where I’m at right now — copying / learning from the pentagon symmetry system seekers: Reinhardt, Kershner, James, Rice, Stein, Mann, McLoud, and Von Derau. As I did for a while, copying M.C. Escher’s tessellations, decades ago, although I no longer need MCE inspiration to create a tessellation. Continue reading

# Pentagonal tiling #tessellations, Part 2

My Pentagon Challenge is keeping  me busy. I am plowing my way through all of the pentagonal tiling types. Quite a few of them are built within either a perfect hexagon, or one that has been distorted beyond recognition. I am finding some interesting rules of symmetry I had not yet encountered. Wrapping my noggin around new concepts. Many of these symmetry types are skew-able, not only scale-able. Also, many of the anchor point for division lines inside hexagons are variable in their location, as long as the variable is kept constant for each pentagonal unit. Continue reading

# Pentagonal tiling #tessellations, Part 1

Another challenge showing up on my desk, compliments of Woodpecker Carving. Hussein posted a beautiful Islamic geometric design, displaying the use of pentagons. But wait I thought, aren’t pentagons impossible to tile using the original seventeen symmetry groups? Or so I thought. I had seen intriguing examples of pentagonal tiles over the years, but I was still obsessed with M.C. Escher type nested shapes – and will always be. Continue reading

# My original Mountain Biker #Tessellation from 1997

This Mountain Biker #tessellation drawing was done before Windows 3.1, before the Mac, before iPads! But after the dinosaurs. 1997. It was the inspiration to do a complete periodic drawing covering the plane, rather than a line group as shown below. Sometimes these drawings take time. Tessellation ideas are a dime a dozen — completed artwork is more rare. Continue reading

# Mountain Biker Tessellation — another one?

Yes, another mountain biker. But this one drawn in symmetry system P6, that’s one 6-point rotation, one 3-point rotation and one 2-point rotation. Have a careful look at those bike wheels. They are being shared by multiple bikers. Bike Sharing, very popular these days.

# Frisbee Dog #Tessellation

This tessellation was done using the Pg symmetry system. Two parallel glide reflections with a few lines snaking from one to the other. In the sketch below, the thicker lines delineate the two characters, the guy and the dog. Not that many lines. The thinner lines add details to the shape. If you want to know an easy way to create this type of nested shape, have a look under the Techniques menu, and choose the symmetry group you would like to use.  Continue reading

# Cellphone Zombie Tessellation #5 – Prior to Impact

This will be my last#cellphonezombie tessellation, I hope. Getting it out of my system. This tessellation is done using the P4g symmetry group – a four point rotation within a mirrored box. Don’t like mirrors in symmetry, it creates a very rigid personage. But in this case, it might suit the occasion, the last fraction of a second, before impact, as the cellphone user realizes that there is something going on in the world around him. Could be a sign post on the sidewalk, a bench, the curb, another zombie, a missing manhole cover (I did watch a lot of Bugs Bunny), a vehicle… you decide! Continue reading

# Cellphone Zombie Tessellation #4 – Road Rash

Yet another tessellation about #cellphonezombies! Contemporary topic. This tessellation seen from a low wide-angle view, we can see a truck’s tire coming from behind our character, and above the roadway disappearing far behind him. Yes, busy, mesmerized by his cellphone, oblivious. What a weird word. Oublie-vie-ah. Forget-your-life. Continue reading

# 3 Nested Dogs Line Tessellations

Clocks back one hour tonight. Spring forward — Fall Back. This symmetry design is built using a simple glide reflection all the way along the line. Resting dogs, using their buddy’s butt as a pillow. Continue reading

# Cellphone Zombie Tessellation #3 – Tiny Feet

Just in time for tonight’s episode of Marketplace on CBC.ca — “Addicted to Your Cellphone?” A third tessellation, this one in symmetry group P6, one 6 point, one 3 point and one 2 point rotation. Tiny feet for the sidewalk and dangerous street crossings. Big bulging eyes from staring at the screen for too long. Continue reading

# Cellphone Zombie Tessellations #1 & #2

Seems #cellphonezombies  are in the news quite a bit these days. Either in remote areas, small villages or in the dense jungle of big cities (Honolulu), a new phenomenon, a dangerous practice, far worse than distracted driving, you have no seatbelt! Walking around while looking at their cellphone’s latest bleeps, people seem unable to just ignore their techno addiction and focus on the world around them. Continue reading

# Many iterations of a tessellation

You Talkin’ to Me?

The final version. A long time coming. Lots of work. Many iterations. A few false off-spurs. Not a horse. Not a centaur. Not human. Don’t know who this is. But definitely seems to be ranting like Robert to Donald on youtube. You Talkin’ to Me? Continue reading

# Mountain Biker Tessellation

One Tessellation a Day, for 30 Days! Ya, right.

I thought maybe it would be a cool idea to challenge myself to do a tessellation a day for 30 days. Maybe in a few decades when my teacup is not overflowing.

I must point out the difference between a tessellation and a pattern, as in cloth, tiles or wallpaper. They both use the same symmetry rules for filling space. But in the case of tessellations, your aim is to reduce negative space, empty areas, to zero. Where every single square inch is used up by a recognizable figure. Continue reading

# Complete #tessellation workflow on the #iPadPro

It has taken a while for me to let go of the expensive Adobe Photoshop, to complete my tessellations. Quite a bit of research and testing to figure out which iPad app was the best for my purposes. Pixelmator wins on all fronts. It does what no other single app accomplishes, Continue reading

# OmegaBoy #Tessellation

Below is the original OmegaBoy sketch, drawn four and a half years ago already. Since I found the KaleidoPaint app, I’ve come up with about one nested shape a week, that’s over 250 tessellations, fully interlocking designs. It must be an obsession! Still much to learn. Never stop learning.  Continue reading