# A nested shape, from start to finish

I’ve chosen a pattern from an Islamic geometric design as inspiration to get started for this tessellation. Looking at the photo, we can see four mirrors intersecting at ninety degrees to form a box. In the centre, a four way rotation point. Continue reading

# Refining a tessellation — a frog animation

My first ever tessellation, redrawn from scratch, to show the series of steps required to achieve a successfully nested shape.

The original image was a pencil sketch from years ago. Before Windows 3.1 and way before the iPad. And I could not afford an Amiga computer, even less the first Mac. So cardboard, pencils, scissors and lots of graph paper it was. Continue reading

# Puppy Training tessellation

This symmetry group was the first one with which I completed a successful tessellation, the Frogs. Way back in 1988, in the dark ages. Symmetry group P4g. Head to head, elbow to elbow, feet to feet is how I decipher these nested shapes. A very simple technique,  Continue reading

# Gelbe Karte in Pmm – a difficult symmetry group

Took a while, but I finally came up with a tessellation I like, to represent this Pmm symmetry group. I’ve named it “Gelbe Karte”, yellow card. This tessellation is built with five characters, Höwedes, Asamoah, Kolasinak, the Ref, and the one receiving a yellow card for excessive simulation (diving), Robben. About time Arjen gets a card.

# Symmetry group thumbnails and listing systems

Finally got around to creating a “Cheat Sheet” for starting a tessellation. A page of my own. Sometimes I need to physically mime my ideas, so hands are a good base to use here. Often it is difficult to decide which group to choose to accomplish a certain design. Continue reading

# Fifi at the Salon tessellation

This tessellation is built using the Pm symmetry group – two alternating parallel mirrors, without any glides or rotations. Makes for a stacked look to the nested shapes. One vertical mirror down the lady and the other down the dog and shampoo bottle. Always wondered how HairStylist cut their own hair, awkward to cut your own, probably dangerous too. Well, I figured it out. “Let me cut my hair for me”. And it’s always nice to bring Fifi the dog with you to the Salon. What do you think Tina? Continue reading

# Other P6m tessellations

Indeed, not my favourite symmetry group. Most nested shapes that try to fit into this system feel constricted, weird, rigid, way too symmetrical. There is barely enough room to create recognisable figures within a sliver of a triangle, 30-60-90 degree (orange shape). And all of this surrounded by 3 mirrors. Ug.  Continue reading

# Dachshund Tessellation

Quite similar to one tessellation I did a few weeks ago. The Three Dogs tessellation. But this one is based on a six way rotation, group P6 rather than P3. If you have a look at both, the tails swirl around into a spiral, the Dash Hounds using 6 instances of tails, the originals using three tails. Continue reading

# Dash Hound tessellation

Quite similar to one tessellation I did a few weeks ago. The Three Dogs tessellation. But this one is based on a six way rotation, group P6 rather than P3. If you have a look at both, the tails swirl around into a spiral, the Dash Hounds using 6 instances of tails, the originals using three tails. Continue reading

# Brodie’s new jacket tessellation

You see? This is where my hands naturally fall in place. Right here. These jacket designers went and put the pockets way back there, as if I’m a gunslinger reaching for my Colts.  Continue reading

# Snoring dogs line tessellation

Drew a slew of these dog packs. A line symmetry system instead of a plane symmetry system. Built on a vertical stack of glide reflected dogs. Peacefully snoring, on her back, Continue reading

# Weightlifter tessellation

This tessellation inspired by a nephew. A weightlifter. Isn’t he a nice guy? Sharing his weights with the Dude next to him. Good gym etiquette. He can squat 550 lbs, just for fun. Depending if you are looking at the one right side up, or upside down, they all share the same bar.  Continue reading