Three Dimensional Sipe

A tire tread comprising at least one tread element comprising a waveform sipe therein, said waveform sipe having length, said waveform sipe extending into the tire tread, and waveform sipe comprising:

• an outer radial portion defined by a first waveform having a first amplitude, a first width, and a first wavelength, wherein said first waveform is a sine or zig-zaged waveform;
• an inner radial portion defined by a second waveform having a second amplitude, a second width, and a second wavelength;
• wherein said second waveform is the same type of waveform as the first waveform;
• and wherein
• said first wavelength is less than 5% of the length of the sipe, or
• said first wavelength is more than 100% of the length of the sipe, or
• said second wavelength is less than 5% of the length of the sipe, or
• said second wavelength is more than 100% of the length of the sipe, or
• said second amplitude is more than 50% of the first wavelength, or
• said second amplitude is less than 10% of the first wavelength, or
• said second amplitude is more than 50% of the second wavelength, or
• said second amplitude is less than 10% of the second wavelength.

A waveform sipe, said waveform sipe having length and width, said waveform sipe having depth defined by its extent into a tire tread, and waveform sipe comprising:

• an outer radial portion defined by a first waveform having a first amplitude, a first width, and a first wavelength, wherein
• said first waveform is a sine or zig-zaged waveform,
• said first width is between 0 mm and 5 mm, inclusive,
• the first wavelength is between 2 mm and 50 mm;
• an inner radial portion defined by a second waveform having a second amplitude, a second width, and a second wavelength, wherein
• said second waveform is the same type of waveform as the first waveform,
• the second width is greater than the first width;
• wherein the length of said sipe being between 2 mm and 50 mm;
• wherein the width of the sipe is described by an opening function;
• and
• wherein,
• said first wavelength is less than 5% of the length of the sipe, or
• said first wavelength is more than 100% of the length of the sipe, or
• said second wavelength is less than 5% of the length of the sipe, or
• said second wavelength is more than 100% of the length of the sipe, or
• said second amplitude is more than 50% of the first wavelength, or
• said second amplitude is less than 10% of the first wavelength, or
• said second amplitude is more than 50% of the second wavelength, or
• said second amplitude is less than 10% of the second wavelength.