The first part of the obelisk would be 40 ft² (12 m²) square and 10 feet (3 m) high. It then would reduce to 32 ft² (9 m²) square and rise 35 feet (11 m). The next segment would be 22 ft² (6 m²) and would rise 85 feet (26 m) to become 6 ft² (1.8 m²) at the top. The total height would be 130 feet (40 m). In the pedestal there would be 300 ft² (91 m²) of floor space. Harvey's books, explaining 20th-century civilization, as well as a world globe, a bible, encyclopedias, and newspapers, were to be placed inside two vaults and hermetically sealed in glass. Harvey also wanted to place in this large room: "numerous small items now used in domestic and industrial life, from the size of a needle and safety pin up to a Victrola." It was estimated that the construction would use 16,000 bags of cement, 30,000 ft³ (850 m³) of sand, 58,000 ft³ (1,642 m³) of gravel, and tons of corrugated steel reinforcement. The Portland Cement Association donated the service of one of its experts, who pronounced that the Pyramid would not deteriorate or suffer from erosion and would last for over a million years. To prevent water in the valley from interfering with the foundation and to shore up the low knoll to support the heavy Pyramid, Harvey constructed a 165 feet (50 m) long retaining wall of stone and concrete.He also built a roughly semi-circular, terraced amphitheater at the foundation of the Pyramid which he called the "foyer". He intended to rent this out and use the revenue for the pyramid project. The land for the amphitheater was first dug in late 1923, and construction continued off and on for the next five years whenever financing, building materials, and labor were available. Unlike other Monte Ne building projects designed by architect A. O. Clark, the amphitheater apparently had no architectural input and was not built according to blueprints or a single design. Those who worked with Harvey noted that he seemed to just "work it out in his mind from day to day". The result was a unique structure, irregular in formation, with seating capacity for anywhere from 500 to 1,000. The amphitheater averaged 20 feet (6 m) high and 140 feet (43 m) long. In the middle of the amphitheater was a small island with two concrete chairs and a concrete couch, intended for an orchestra to play or a speaker to make a presentation. Harvey dedicated the amphitheater before 500 people in 1928.Following the Egyptian mania that gripped the country after the discovery of King Tut's tomb in 1922, Harvey's Pyramid project sparked a lot of interest and was widely reported throughout the U.S. Tens of thousands of people came to Monte Ne during the 1920s to see its progress. Harvey continued to raise funds from events held at the amphitheater, such as conventions.Harvey moved his office to his cottage next to the amphitheater, as work continued on the Pyramid. In January 1929, Harvey, along with Lowell and H. L. Hardin of Kansas City, incorporated the project creating The Pyramid Association. The association was to fulfill Harvey's Pyramid plans in the event of his death. The estimated cost of the Pyramid itself was $75,000, but Harvey exhausted his funds on construction of the amphitheater. The stock market crash of 1929 ended all construction. In a last-ditch effort to save the project, Harvey sent letters to wealthy men asking for funds to complete the project. In his letters he explained that civilization was dying and that only rich men, like the intended readers, could save it, if they could send money for his pyramid. Despite the fact that Harvey claimed his correspondence was "the most important letter ever written" he received no replies and the pyramid was never built. All that remains of the project is a retaining wall and the amphitheater that are under the waters of Beaver Lake most of the time.

Question: What is the name of the obelisk that would then reduce to 32 ft² square and rise 35 feet?
Answer: the Pyramid