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Note 4 - Estimated Liquidation and Operating Costs Net of Estimated Receipts (Details Textual) - Closing of the First Property Lot Sale, Subject of Either Flowerfield or Cortlandt Manor Subidivision [Member] | 12 Months Ended
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Dec. 31, 2020 USD ($)
Liquidation Basis of Accounting, Land Entitlement Costs Incurred, Amount Deferred | $ 321,000
Liquidation Basis of Accounting, Land Entitlement Costs Incurred | $ 1,500,000

X
- Definition Amount of land entitlement costs to dispose of assets or other items expected to be sold in liquidation recognized in the period. + References No definition available. + Details
Name: | gyro_LiquidationBasisOfAccountingLandEntitlementCostsIncurred
Namespace Prefix: | gyro_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Definition Amount of estimated land entitlement costs that have been deferred. + References No definition available. + Details
Name: | gyro_LiquidationBasisOfAccountingLandEntitlementCostsIncurredAmountDeferred
Namespace Prefix: | gyro_
Data Type: | xbrli:monetaryItemType
Balance Type: | debit
Period Type: | duration

X
- Details
Name: | srt_StatementScenarioAxis=gyro_ClosingOfTheFirstPropertyLotSaleSubjectOfEitherFlowerfieldOrCortlandtManorSubidivisionMember
Namespace Prefix: |
Data Type: | na
Balance Type: |
Period Type: |