Ready Made Icosahedra

While educational toy geometry kits are fine, it is also possible to find affordable ready-made icosahedra – sometimes in unusual places.

For example, I found a rubbery icosahedron at a pet store.  It was a dog toy with a soft ball in the center.  I just removed the ball and bingo – a light and durable ico model!

I have also found several different skeletal icosahedra in hobby stores that sell inexpensive decorative items, such as Hobby Lobby and Michael’s.  The gold model in the illustration is one example. … Read More

Polyhedral Models for Movement Study

Laban primarily used the octahedron, cube, and icosahedron as movement models.  However, geometrical models are usually sold in sets that feature all five Platonic Solids, including the tetrahedron and dodecahedron.

For movement study purposes, you need “skeletal” models; that is, models without solid faces.   Skeletal models consist only of edges and corners, such as the Platonic Solids shown in the accompanying illustration. These models make it possible to see into the interior space of these regular three-dimensional forms.

You can find kits for building skeletal polyhedral among educational children’s toys, such as Zometool. … Read More

Body, Mind, and Space

Laban recognized that movement is a psychophysical phenomenon involving both body and mind.  Understanding Laban’s notions of space harmony also requires both physical and mental effort.

In the upcoming MoveScape Center workshop, “Harmonics of Space,” we approach Laban’s space harmony scales using both body and mind.  We explore how Laban created a comprehensible geography of movement space, and then employed consistent design principles to create elegant, “harmonic” sequences of directional change.

To support our mental efforts, I recommend working with visual, three-dimensional models. … Read More

The Icosahedron and the Body

Laban developed spatial sequences known as “scales” using both the octahedron and cube. His major harmonic scales, however, unfold within an icosahedron.  There are many reasons why Laban preferred this three-dimensional form as a virtual geography of the kinesphere.

The icosahedron is more spherical than either the octahedron or cube.  The oblique lines of motion defined by the edges and transverse rays of the icosahedron are “those which we most easily distinguish when seeing and experiencing movement,” according to Laban.  Moreover, there is a strong correlation between “the angles of the icosahedron and the angles occurring in the movements of the body in normal everyday use.”… Read More

Harmonic Geometries of the Kinesphere

It is well-known in projective geometry that the Platonic Solids, related in concentric order, form harmonic structures in space.  Laban draws on this idea in the following way.

He views the body as centered in a sphere of space.  Encased in this sphere are the structures of the regular polyhedra.  As Bodmer explains, “This means that the body is related to a structural space form, which emanates from the center of the body and extends outward in ever-growing levels…. A whole group of associated and linked spatial patterns can be evolved” from the concentric order of the Platonic Solids.… Read More

Proportion, Music, Movement, and Space

Proportion plays a key role in both musical harmony and Laban’s harmonic spatial sequences.  As Laban notes, “the octave in music has the relation of 1:2 which means that the vibrations of the high octave are twice as many as the lower octave.”  Laban was intrigued by the “possibility of discovering similar relations” in the spatial pathways traced by the mover’s body.

In order to map these pathways, or “trace-forms,” Laban established geographical landmarks in the empty space surrounding the body using three Platonic Solids – the octahedron, cube, and icosahedron.… Read More

Harmonics of Space

According to Rudolf Laban, “Between the harmonic components of music and those of dance there is not only an outward resemblance, but a structural congruity, which although hidden at first, can be investigated and verified, point by point.”

In the upcoming MoveScape Center course, “Harmonics of Space,” we explore Laban’s assertion theoretically and practically, through a close look at four of his harmonic movement scales – the Axis, Girdle, Primary Scale, and A Scale.

The workshop examines the underlying principles Laban used to create these scales, while providing tips for performing and remembering these sequences.… Read More

Linking Body and Space

Dancers move through space as fish move through water.  In the seemingly vacant sea of space, Laban identified central lines of motion that extend through the dancer’s body outwards into the surrounding area, making what appears to be empty tangible.

Angiola Sartorio, one of Laban’s early dance students, explains it this way:

“Try to visualize that the directions in space are everywhere, and when you activate a pathway, you align with a network that already is there for you to find. … Read More

Angles and Curves of the Kinesphere

An analogy can be drawn between Laban’s maps of the kinesphere and the geometrical grid cartographers employed to create state boundaries in the western United States.

If the boundaries of the western states followed the natural watersheds, the states would be rounded and irregular in shape rather than having the squared off and block-like shapes they have today.

Similarly, while Laban knew that most bodily movements follow curved trajectories, he chose to stylize these as straight lines and angles.  By imposing a regular geometrical structure on the globe of the kinesphere, Laban identified spatial pulls and their directional vectors.… Read More

Mapping the Kinesphere

North American Indians are said to have marvelous “topographical” memories. According to Lucien Levy-Bruhl, “it is quite enough for them to have been in a place only once for them to have an exact image of it in their minds.”

The natural landscapes of North America have many memorable landmarks.  On the other hand, there are no visual landmarks in the very personal territory of the kinesphere.

Fortunately, pioneering movement analyst Rudolf Laban created maps of space to enable the mover visit new places and enjoy fresh kinesthetic experiences. … Read More