These images will be displayed at 5th Heidelberg Laureate Forum

From the 23 up to the 28 September 2017 these artworks will be shown at 5th edition of Heidelberg Laureate Forum

The venue is at Heidelberg University, Old University, Grabengasse 1, 69117 Heidelberg

come to visit! free entrance

  • Composition of equilateral triangles
    Year: 2016

    This work is a composition of spirals of equilateral triangles with side lengths which follow the Padovan sequence, a sequence of integers P(n) defined by the initial values P(0)=P(1)=P(2)=1 and the recurrent relation P(n)=P(n-3)+P(n-2). The first few values of P(n) are then 1, 1, 1, 2, 2, 3, 4, 5, 7, 9, 12, ...

    The spiral pattern constructed in this way is replicated along the vertical axis and scaled to fit in the concavity of each successive replication. It's interesting to note that, by using only one type of triangle and a suitable gray graduation, an intriguing perceptual ambiguity is attained.

  • Transition to chaos
    Year: 1999

    An isohedral tessellation of the plane undergoes a random perturbation of increasing inter-tessera distance and angle variation from the bottom up. The basic unit is a non-regular pentagon with two angles of 40 degrees, two of 160 and one of 140. The white disk in the background appears to be the engine of this "phase transition" evocative of the moon's influence on the plant world and beyond.

  • Flights from infinity
    Year: 2015

    An octagonal centered tessellation of the Poincaré disc, where, rather than tracing the polygons, the diagonals are traced with arcs of varying thickness. This creates a sort of weaving that, if carefully viewed, can be perceived as a flock of butterflies flying while converging to a center. This brings to mind Hilbert’s quote to the contrary, “Im grossen Garten der Geometrie kann sich jeder nach seinem Geschmack einen Strauss pflücken.” (But in the large garden of geometry only one butterfly I found).

  • Spherical inlay
    Year: 2007

    The image derives from a particular truncation of an icosahedron that gives rise to 12 regular pentagonal faces and 20 non-regular hexagons. The colors and the shape are reminiscent of Renaissance wooden inlays and floors.

  • Moonlight
    Year: 1999

    This image suggesting the rise of the moon behindtree consists of a single white line on a black background forming a linear fractal (Gosper’s flake) using a polar transformation. The solid bright disc appears in the region where the density of the lines exceeds the resolution of the printing device.

  • Zigzag path to a fractal island
    Year: 1999

    The image uses the same linear fractal (Gosper’s flake) used in “Moonlight,” employing a circular inversion to produce paths converging towards a sort of fractal “island.” Aldo Spizzichino referred to this fractal island askind of “Neverland,” towards which the Gosper's flake converges, but never reaches.

  • Flowers for Lucio
    Year: 2015

    This composition was done as a tribute in memory of Lucio Saffaro, a great Italian artist whose research was deeply rooted in geometry, and who died in 1998. Here, a Non- Archimedean tiling discovered by Saffaro is placed on the background.

    In the foreground is a regular dodecahedron decorated with 'flowers' formed of logarithmic spirals having a pentagonal symmetry. To emphasize the two-dimensional pattern of the flowers, the solid is rendered in the absence of shading or illumination.

  • The Golden family
    Year: 2014

    The Golden family, 2014 This work is based on nested golden spirals. The larger spirals contain and, in some way, appear to generate the smaller ones, in the same way as families evolve over the generations. A joyful choice of colors portrays an optimistic view of life.

  • Exponential reflection
    Year: 1998

    This image is generated using an exponential transformation in the complex plane: beginning with a set of equilateral triangles arranged to form a larger equilateral triangle with one vertex at the origin, we obtain a sequence of curvilinear similar triangles wrapping around the origin in a logarithmic spiral. The resulting structure is a model of self-similar growth, typical of shells. The spacing of the horizontal lines in the reflection follows the overall distribution of prime numbers.

  • Fractal artwork
    Year: 2013

    A Sierpinski pentagon fractal pattern is mapped on the surface of an imaginary shell.

  • Particles
    Year: 2015

    Particles, 2015 The loxodrome (from the Ancient Greek λοξός: "oblique" + δρόμος: "running") is an arc on the surface of a sphere crossing all lines of longitude at the same angle. For example, in the Mercator projection, the loxodromic lines are straight lines. The loxodrome was first described by the Portuguese mathematician Pedro Nunes in 1537 and gathered some interest because of its practical applications in navigation. Here, the loxodromes are stereographically projected onto the plane. The color inversion, besides creating a interesting graphic effect, is reminiscent of the duality particles/antiparticles.

  • The library of the mathematician
    Year: 2006

    The library of the mathematician, 2006 Two 'origami' figures of brightly colored paper stand out on the dark background of an overloaded bookshelf. Hanging from the ceiling, they remind the observer of a famous renaissance portrait of Luca Pacioli (1445-1514), author of “De Divina Proportione.”

    The differently oriented large dodecahedra shown here were discovered by Louis Poinsot at the beginning of the 19 th century. They can be obtained from an icosahedron by substituting its flat faces with hollow pyramids.

  • Archimedean solid
    Year: 2002

    A skeletal model of dodecahedron simo (one of the 14 semi-regular polyhedra described by Archimedes) rests on a table, projecting its intricate shadow. A picture leaning on a large bowl shows what we would see if we were looking at the center of a pentagonal face of the dodecahedron simo, using a wide-angle lens. The image has the appearance of a flower, with a helicoidal pattern in the central region formed by the two enantiomor- phic forms of the helicoid. In the background sits a regular dodecahedron.

  • Five interlocked tetrahedra
    Year: 2011

    This composition is constructed by arranging five tetrahedra in rotational icosahedral symmetry, giving rise to one of the five regular compound solids which can be constructed from identical Platonic solids. The resulting compound polyhedron is a stellation of the regular icosahedron and shares the same vertex arrangement as a regular dodecahedron. This composition is rightly famous also because the dual figure is the enantiomorph of the original, producing the chiral twin; figures with this property are extremely rare.

    The surface of the tetrahedra is patterned to resemble a wooden model similar to those built in the renaissance and illustrated by Leonardo Da Vinci for Luca Pacioli's 1509 book “De Divina Proportione.” These wooden patterns were obtained by making use of a simulation of a moiré (interference) pattern.

  • The geometric thought
    Year: 2010

    A dodecahedron hanging from the ceiling, is reflected in an imaginary mirror. The dots on the faces of the dodecahedron, though derived from a random process, form a regular pattern by virtue of a simple algorithm due to Conway, as described in detail in “Meditative in Green”. The mirror frame is obtained by mapping a heptagonal hyperbolic tessellation over a semi-toroidal surface. The appearance is that of a Venetian glass mosaic of degrading size towards the center.

    With this work, the author tries a sort of synthesis of the history of mathematical thinking with regard to the regular partition of space. The composition brings together several concepts illustrating the beauty of mathematics in geometry.

  • Marine forms
    Year: 2011

    Here, a truncated icosahedron (one of the 14 semi-regular polyhedra described by Archimedes) forms the frame for two ruled surfaces resembling trumpets. Forms such as these are common in nature, for exam- ple, radiolaria, pollens, and viruses.