Patches of Coloured Light

This is an album cover for 'Patches of Coloured Light', a solo bass album by Andy Long. The album is available to download or on CD from Bandcamp as a pay what you like album and Andy is going to donate half of the money he gets from it to Cancer Research UK.

This painting uses phyllotaxis spirals - phyllotaxis is the arrangement of leaves around the stem of a plant which often obeys a number of subtle mathematical relationships. These relationships can also be seen in other parts of plants, for example daisies, pineapples, pinecones, cauliflowers etc. and they can maximise the number of seeds which can be produced in a given area.
For instance, the seeds in the head of a sunflower form two oppositely directed spirals: 55 of them clockwise and 34 anti-clockwise. These numbers are consecutive Fibonacci numbers, the ratios of which converge to the golden ratio. Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 etc, the next number in the sequence can be found by adding together the previous two. In this painting there are 21 clockwise spirals and 13 anti-clockwise.

Newport SuperDragon

I am one of the artists who got to paint a Newport SuperDragon, here is my design that was chosen for one of the 50 SuperDragons that were placed around Newport in summer 2010. I have added a separate dragon gallery of his progress, click one of the pictures to see more. See the SuperDragons' website or Facebook page for more details about the SuperDragon project.

Deltoid, Cross and Star

These three paintings use shapes called hypocycloids. A 3-cusped hypocycloid is also known as a deltoid. You may have seen a 4-cusped hypocycloid (or astroid) before if you ever did 'straight line curves' at school. In 'Cross' and 'Star' the contruction lines are extended to cover the whole page.

Trinity and Spiral

'Trinity' has three main sections which all have equal area on the original. The sections are separated to represent the three separate parts of God but the colours spill over into the other sections. Both these paintings use a logarithmic spiral which appears in lots of unexpected places. 'Spiral' is an oil painting (my only one so far, the others are all watercolours). The spiral was constructed using a golden rectangle.

Green and Purple and Sailing

These paintings were done by marking out the lines using sticky tape, painting the colours over the top and then peeling off the tape to leave the white areas. Purple is my favourite colour so I couldn't resist adding the one purple shape, the colours in 'Sailing' made me think of a beach and a little boat with a purple sail.

K_{20} Earth

K_{20} is a complete graph with twenty vertices. To draw the complete graph K_{n}, mark n points evenly spaced around a circle and join each point to every other point. The text on this painting is 'He counts the stars and calls them all by name. Psalm 147:4 He stretches the northern skies over empty space and hangs the earth on nothing. Job 26:7'.

Penrose Clematis

This painting uses an aperiodic tiling of two rhombuses which was discovered by Roger Penrose. The lines on the rhombuses can be used to force the construction of an aperiodic tiling, which means that although the pattern could have rotational or reflectional symmetry there is no translational symmetry, or more simply, a copy of the pattern could not be shifted across and match the original pattern entirely. The repeated cluster of five fat rhombuses reminded me of a clematis flower and the curling lines of the tendrils of the plant which is why I chose these colours.

Elements

This is a painting I did while I was at school, I didn't really plan it out but made it up as I went along. The title 'Elements' was suggested afterwards because it made us think of wind (the blue with straight lines), earth (the sandy colour with something green growing in it), fire (the red shapes) and water (the green and blue perhaps looking like ripples from a stone).

Free Contact Form