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Basic Formula for Columns & Arches... a) standard methods b) Link-O-LOON balloons
a) Arches are a fun and popular balloon decoration with endless potental for creativity Arches add excitement and provide a lavish dispaly of color There are many variations... the following is just a sampling of the simple ways arches can be consrtructed:
Single Arch - made up of single latex balloons tied directly to a monofilament ( fishing line) The ballons can be packed together or evenly spaced The arch can be dressed up with a variety of accents - such as ribbon, tulle, poly-silk leaves, fresh or silk flowers, feathers, OR... An air-filled latex balloon can be tied directly below the helium-filled balloon, creating the High-Low Arch - a variation of the single arch LINK-O-LOON® balloons can be used to easily create this simple but elegant arch
Rainbow Arch - includes several single arches of varying lengths that can be placed together, creating a rainbow of colors 
Swirl Arch - composed of either a three or a four cluster latex group joined together by paper clips or Twist Klips TM and attached directly to the monofilament line
Foil Arch - can be created using helium-filled foil balloons
Swag Arch - an air filled arch that can be suspended from the ceiling or other support It can be a Single or Swirl Arch The ballons can be attached to the monofilament line, using a pipe cleaner twisted around the stem
formulas used to calculate approximately how many balloons are needed for a spiral arch: 5 inch = 12 per foot 9 inch = 8 per foot 11 inch = 6 per foot 14 inch = 4 per foot 16 inch = 4 per foot
b) Link-O-Loon balloons
LINK-O-LOONS®  of linkpix.jpg)
The LINK-O-LOON® is a standard latex balloon, but with a very distinctive difference It has an elongated tail which is used to tie it to another balloon or LINK-O-LOON® Simple chains or arches can be created without monofilament line Complex shapes and sculptures can also be constructed without props, frames or other supports LINK-O-LOONS® are available in a variety of colors - including Fashion, Pearl, Crystal and Metallic
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