Extendable interlocking structures and methods

An extendable structure comprising:

• a first interlocking component comprising:
• a top face;
• a bottom face opposite the top face, the bottom face comprising a first portion, a second portion, and a third portion, the second portion being laterally between the first and third portions;
• a planar inner face intersecting the top face and the bottom face, the planar inner face comprising a short planar inner face and a tall planar inner face, the short planar inner face being laterally adjacent the tall planar inner face;
• a tall angled inner face intersecting the first and second portions of the bottom face;
• a short angled inner face intersecting the second and third portions of the bottom face;
• an outer face intersecting the top face, the bottom face, the tall angled inner face, and the short angled inner face;
• a first ridge along the intersection between the top face and the planar inner face;
• a first groove along the intersection between the tall angled inner face and the first portion of the bottom face;
• and
• a second groove along the intersection between the short angled inner face and the third portion of the bottom face.

A method of erecting an extendable structure, the method comprising:

• joining a first interlocking component to a cap, the first interlocking component comprising:
• a top face;
• a bottom face opposite the top face, the bottom face comprising a first portion, a second portion, and a third portion, the second portion being laterally between the first and third portions;
• a planar inner face intersecting the top face and the bottom face, the planar inner face comprising a short planar inner face and a tall planar inner face, the short planar inner face being laterally adjacent the tall planar inner face;
• a tall angled inner face intersecting the first and second portions of the bottom face;
• a short angled inner face intersecting the second and third portions of the bottom face;
• an outer face intersecting the top face, the bottom face, the tall angled inner face, and the short angled inner face;
• a first ridge along the intersection between the top face and the planar inner face;
• a first groove along the intersection between the tall angled inner face and the first portion of the bottom face;
• and
• a second groove along the intersection between the short angled inner face and the third portion of the bottom face, the joining the first interlocking component comprising:
• mating the top face, the short planar inner face, and the tall planar inner face of the first interlocking component to the cap;
• joining a second interlocking component to the cap and the first interlocking component, the joining the second interlocking component comprising:
• mating a top face of the second interlocking component to bottom faces of the cap and the first interlocking component;
• mating planar inner faces of the second interlocking component to the cap and to the tall angled inner face of the first interlocking component;
• and
• joining a third interlocking component to the cap, the first interlocking component, and the second interlocking component, the joining the third interlocking component comprising:
• mating a top face of the third interlocking component to bottom faces of the cap, the first interlocking component, and the second interlocking component;
• and
• mating planar inner faces of the third interlocking component to the short angled inner face of the of the first interlocking component and an angled inner face of the second interlocking component.