Category Archives: Curiosity

It’s not a Trochoid!

This is my most recent sculptural piece, carved from Mango and Flooded Gum.

I had been thinking about the shape of the rotor of a Wankel rotary engine. The geometry of the Wankel engine is particularly interesting, because the rotor tips remain in contact with the inner surface of the engine as the rotor spins around its central gear. We had briefly studied the motor at the South Australian Institute of Technology (now re-badged as University of South Australia), and the term ‘trochoid’ stuck in my head. Consequently, I referred to it as the Trochoid as I worked on it. Surely a trochoid is a triangular solid shape?

I was wrong – it is not a Trochoid. A trochoid is the path of a point on a circle as the circle is rolled along a straight line. The shape of the piece is a Reuleaux Triangle – the points on the outer curve are equidistant from the opposite vertex. Interestingly, the Reuleaux triangle is one answer to the question “Other than a circle, what shape can a manhole cover be made so that it cannot fall down through the hole?”

According to Wikipedia, the Reuleaux Triangle also gives it’s shape to guitar picks, pencils, fire hydrant nuts and drill bits for drilling square holes – fascinating!

In the case of the Wankel engine, the rotor shape is a modified or flattened Reuleaux triangle, while the stationary part of the engine, the oval housing, is a variation of a trochoid, called an epitrochoid – the shape generated by a point on a circle rolling around a stationary circle.

This piece is based on the Reuleaux triangle and is carved from curly Mango wood and ebonised Flooded Gum.

I might save this for an event coming up later this year.

Sculpture and Mathematics – another rabbit hole!

Micheal Foster – Spatial Distortion – A triply periodic Chen-Gackstatter minimal surface

The internet is full of rabbit holes – the kind that lead to all kinds of mysterious and fascinating places. I came across an interesting image which lead me to the work of Michael Foster. Michael is Breezy Hill Turning, and he has a curiosity about the mathematics and sculpted surfaces.

In his website, Michael states that he has “exploring the intersection of math and sculpture. One of the really cool things that I have discovered is the class of math objects called minimal surfaces.   These are surfaces that describe the least amount of surface area that will connect a circumscribed area.”

A soap bubble or film is a natural minimal surface. The forces of surface tension will always try to adopt a state of minimum energy – and that is a soap film that occupies the minimum area for a given volume or other constraint. Soap bubbles are spherical, because a sphere is the surface that encloses a given volume with the least surface area.

But soap films can get much more interesting when they are not spherical. If you pick up a film of soap on a flat wire loop, the soap film will form a flat film – the least area of film that conforms to the boundary of the wire loop. And if the loop is twisted out of flat, you get a curved surface that is a new minimum surface.

Now Michael Foster is a wood turner. His sculptures start with a turned form on which the boundaries are drawn. He then sculpts the surfaces that join those boundaries as a minimal form, resulting in spectacular swirling curved surfaces. Think of the marking on a tennis ball – and imagine a soap film that connects that curve.

Michael Foster – Enneper II – Minimal surface

Then there are various special classes of minimal surfaces – helicoids and catenoids, and many named after the mathematician who described them – Enneper, Hennenberg, Bour, Scherk, Schwartz, Costa, Reiman, etc – conjectures, theorems, proofs and laws. Plateau’s laws describe the behavior of soap bubbles and films. And then there is the Double Bubble Conjecture

The understanding of these shapes is enough to give serious mathematicians a serious head-spin, but they do make beautiful shapes.

Michael Foster – Scherk Tower VI – a five story saddled tower
Michael Foster – Convoluted – A 5 story Scherk tower that has 3 perforations on each level like Tower IV with 90 degrees of twist and then the whole tower bent 360 degrees into a torus.
Michael Foster – The Tao of Geometry- Based on Infinite loop trefoil.
Michael Foster – Costa Hoffman Meeks- A minimal surface named for the mathematicians that described it mathematically.
Michael Foster – Cayley’s Nodal Surface – a 3D representation of the formula wxy+xyz+yzw+zwx=0
A double bubble surface – photo by Brocken Inaglory

The possibilities!

‘notorious’ – the Portuguese caravel replica

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(Image from ‘notorious’ facebook page)

Almost 6 years ago, when we were looking to buy around here, we stopped for lunch at the remarkable Sedger’s Reef Hotel at Iluka, when we spotted the ominous looking black ship at anchor amongst the gleaming white glass fibre yachts moored in Iluka Bay.

Black ship

Today, we got to go onboard and have a look around.  The vessel is amazing, to say the least.  Massive timbers, huge grown knees, and black tarred cordage, sails and hull.  Everywhere, timbers are rough hewn, straight from the axe or the draw knife.  Seams are calked and pitched.

We spoke with the builder and owner Graeme Wylie – about the time it took to build and the timbers he sourced.  He is still an enthusiast!

I quote from the ‘notorious’ facebook page:-

Notorious, a full-size, wooden, sailing re-creation of a Portuguese caravel, was researched, designed and constructed single-handedly from salvaged Monterey cypress by amateur boatbuilder Graeme Wylie at Bushfield, Victoria, Australia. Launched in 2011.

Notorious Caravel Specifications
LOA 17.5 m
Beam 5.5 m
Draught 2.1m
Displacement 58 tons
Timber – Monterey cypress
Ballast – 12 tons Bluestone
Fastenings – Australian hardwood ( tree nails)
Steel bolts in keel and knees
Lateen rig
Exterior – Black varnish, a mix of linseed oil, pure turpentine, Stockholm tar and pitch

Keel laid April 2002 and launched 7th February 2011

Graeme built the by himself over a period of nine years, not including the time spent collecting timber and researching the vessel.

‘notorious’ and Graeme spend their time cruising up and down the east coast of Australia, stopping at various ports and conducting open days.  If they ever fetch up near you, take the chance and visit – especially if you have an interest in boats and or woodwork!

 

Preston Singletary

One of the blogs that I follow is ‘Joel’s Blog at TFWW’.  Joel Moskowitz is the owner of Tools For Working Wood, in Brooklyn, NY, USA.  The most recent blog, ‘A Visit to the Newark Museum’, concerns a trip Joel made to the said museum.  The subject matter is quite wide ranging and well worth the read.  The point of interest here is the reference he made, and the link enclosed in the blog, to artist Preston Singletary.

Check it out.  Go into the link, and read about this man and his work.  His website and the images of his work will tell you more about him than I ever can.

Gardening Day…

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Life on the one acre block is busy.  Its not just the looking after the block, as in mowing and general upkeep, but rather all of the distractions.  In order to get a bit of discipline in the process, we have designated Sunday as the gardening day – just as Monday is housekeeping day.

The past few weeks, we have been pruning back some of the shrubbery along the drive and in front of the house, but this week, we lifted the Sweet Potatoes.  Just one patch, and just one clump produced a thick bed of vines.  When the vines were pulled back, and we started lifting the tubers we hit some monsters.  We have a couple of different varieties here, but this one must have been the Godzilla variety!  The ‘small’ ones to the right of the photo are about the size on sale at the supermarket.

Su baked a medium sized one for dinner – in the oven, skin on.  The result was delicious – crisp crunch skin like a jacket potato, rich creamy insides, with melting butter.

By way of contrast, Su has some succulents.  One variety has spectacular leaves (stems?) – long and curving.  It started to show signs of buds.  Su watched, waiting for the flowers to bloom.  But when they did, the result was somewhat underwhelming – tiny nondescript yellow flowers.  But they did look pretty good in a close up photo with the macro lense.

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Rabbit holes and Country

 

That’s the thing about a good rabbit hole – you never know when you might get drawn into it, or just where it might lead…

This adventure started with the story in Australian Wood Review about Melbourne based woodworker Damien Wright (I wrote about it earlier here).  Still curious, I googled ‘Damien Wright woodwork’ and found Gideon Haigh’s story (essay) in The Monthly magazine.  While the AWR article touched on Wright’s collaboration with Gumatj Corporation from Nhulunbuy, Gideon Haigh’s article discusses the nature of the collaboration in depth.

In the same issue of AWR, there was a story on Manapan furniture, a different kind of collaboration between Millingimbi based Yolgnu people and Melbourne based university trained designers.

These stories resonated and rattled around in my brain for the past few months.  They lead me to wonder about ‘connection with the land’, what it might mean,  and how that connection might relate to Australian art and design, and even what that might mean for any furniture or sculpture I might make…

Shortly after that, a friend of Su’s recommended a book – Kim Mahood’s ‘Position Doubtful’.  I checked it out on line – and found that ‘Position Doubtful’ was Mahood’s second book.  Curious, I ordered both ‘Craft for a Dry Lake’ and ‘Position Doubtful’.  A good thing I did, because the first book was a great read, and the second book draws heavily on her first.

Google Kim Mahood and you might find:

Kim Mahood is an award-winning Australian writer and artist. Her 2000 memoir, Craft for a Dry Lake, won the NSW Premier’s Award for non-fiction and the Age Book of the Year for non-fiction. Her artwork is held in state, territory, and regional collections. Position Doubtful was shortlisted for the 2017 Victorian Premier’s Award for non-fiction and the 2017 Australian Book Industry Award for the Small Publishers’ Adult Book of the Year.

‘Craft for a Dry Lake’ was a beautifully written memoir, a story of revisiting the Tanami area where she had grown up on a cattle station, and the need to understand more of her father’s story.  But the book has more layers than that – there is her father’s story, the white history of the land, her connection to the land, her connection to the desert aboriginal people, and their connection to the land.  Mapmaking is a cohesive theme in the book, the threads that draw it all together.  Mahood is a writer and artist, importantly for the books, Mahood is a mapmaker.

In the second book, Mahood explores the nature of connection to country through projects to build multi-layered maps of the land of desert aboriginal groups.  She also maps out, in words, some of the issues arising from the relationship between white and aboriginal, and the impact of the cattle industry on aboriginal life and culture.  The book’s title ‘Position Doubtful’ is drawn from maps of the Tanimi region where the locations of landmarks were uncertain, and also calls to uncertain and fluid boundaries of aboriginal culture and politics, and uncertain times ahead as a generation of knowledge holders and story tellers passes.

In her second book, Kim Mahood devotes a part of a chapter to placing this sense of place on a theoretical footing.  She pointed to the 2014 Nobel Prize award to neuroscientists who showed a physiological connection within the brain between emotion, memories and spatial location.  When these parts of the brain work together, we get an emotional connection to the space in which we move, and when the connections are lacking, we feel out of place.

Maybe all that goes to explain why, on the few occasions I get to visit, I feel ‘at home’ in Western Victoria.  Maybe why I feel at home on the flat plains country that others find boring or even terrifying.  I find mountains and hills and trees to be a little claustrophobic.  That may explain why I feel out of place in cities, especially big cities.  It may explain why, when I visit towns where I grew up, I keep looking for faces I recognise – but expecting them to look like they did 45 years ago… But then I wonder what a ‘sense of place’ means to a modern young urban Australian, bombarded with global media and stories not bound to place?

What does it all mean for me?  I have always felt a connection to the wind and sun and rain of the basalt plains or Western Victoria, and the farm I grew up on and knew.  Connection to country is real.  How that connection matters to involuntary wanderers like Su and I is still not clear.  The other questions relating to the impact of a sense of country on Australian artists and designers are also not clear.  (If art and design flow from four emotions memories and sense of place, from our culture and environment, we could expect a design style that is identifiably Australian.  What might look like?

For now, I’ll settle into this one acre block in the Clarence Valley, and build another set of memories and emotions and build a sense of place until we face the next round of dislocation and renewal.  I might think some more, read more, and maybe write about Australian art and design.  Or maybe just make something…